{"text":"Question: Calculate 15*-0.3.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*y**2 - 3*y**2 - 2*y**2)*(93 - 51 - 43 - 4*y).\nAnswer: -16*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 6 - (-27 - -20)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**3 + 9*v**2 + 15*v + 12. Let z be q(-7). Solve 0 = y + z*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 442566 and 69.\nAnswer: 442566","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -2*p - 3*p. Suppose p = 40*v - 1984 - 2096. Is v >= 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o**2 - 13*o - 15. Let l be d(-5). Suppose 0 = p - 4*i - 13 - 3, 2*p + 2*i + 8 = l. Let j = 6 + -3. Solve -j*k + 3 = -p*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 3*g - 3 = 0, r - g + 3*g = 2. Let x = -1 + 5. What is the third derivative of -3*q**2 - q**x + r*q**4 + 4*q**2 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/9 + 16\/6. Let t(z) = 5 - 5*z - 5 + v*z. Let g(k) = -10*k**2. Calculate t(g(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(130)\/(sqrt(25)\/sqrt(5)))\/((sqrt(22) + sqrt(22) + sqrt(110)\/sqrt(5))\/sqrt(11)).\nAnswer: sqrt(13)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -9. Suppose -5*d + 4*r = -l*r - 10, 0 = 5*r. Let s(z) = -2*z**2 - 3*z**2 + 2*z**d + z**2. Let o(q) = 2*q**2. Determine o(s(u)).\nAnswer: 8*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 276\nAnswer: 1380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.22 and 682.9.\nAnswer: -150.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 879426774.\nAnswer: 2, 3, 53, 307277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 29 - 26. Find the second derivative of -3 + 5 + 9*n - 88*n**3 + 2*n**h wrt n.\nAnswer: -516*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*a = -14*a. What is the tens digit of a + 4 - (-3 + -77)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 328125 and 700.\nAnswer: 1312500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) + -1*sqrt(2496))\/(-2*sqrt(192) + sqrt(192) - sqrt(192)).\nAnswer: 7*sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 181377268 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 9*z**2 + 8*z. Let y(r) = r**2 + r. Suppose -17 + 21 = t + 5*j, 2*t + 5*j = -2. Let x be (-9)\/2 - t\/(-4). Determine x*y(c) + l(c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 189 and 12634839.\nAnswer: 12634839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/45 - (-98)\/18. Suppose -2*a + x + x + 2362 = 0, -a + w*x = -1181. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-838.57\nAnswer: 1677.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 0*a - a - 4 + 2*a + a**2 - 2*a. Let n be b(3). Suppose -n*v = 2*u - 12, -4*u - v = -3*v - 12. Calculate the lowest common multiple of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 809 - 1374?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2938\/13 + 4 + (0 - -6). Calculate the greatest common divisor of z and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rtztctrczzz. What is prob of sequence rtr?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000648946 to six dps.\nAnswer: 0.000649","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -0*y + 5*y. Let u(r) = -r**2 - 7*r - 2 - 3*r - y. What is the units digit of u(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -x + 2366, 7*x = 5*b + 9*x - 2362. What is the greatest common factor of 553 and b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7204 + 7205. Suppose i - 27 = -2*i. Sort -5, v, i.\nAnswer: -5, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -6*q - 129 - 27 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/536 and 193\/1817040.\nAnswer: 1817040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1509*b**2 + 77*b**4 + 1509*b**2 + (-3 - 2 + 6)*(-4*b**4 - b**4 + 6*b**4) + 0*b**4 - b**4 + 2*b**4 - 5*b**4 + 3*b**4 - 4*b**4.\nAnswer: 73*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-5\/3)\/b)\/b)**(-20\/11)\/(b\/(b**25\/b))**28)**1 assuming b is positive.\nAnswer: b**(1952\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 68*h**2 - 264*h - 32.\nAnswer: 4*(h - 4)*(17*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1493 is divided by 1433?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6865456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 2*o**4\/3 + o. Let f(w) = -11*w + 6*w + 4*w. What is k(f(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of 253*j**6\/2 - 1309*j**2\/2 - 4798. What is the second derivative of c(g) wrt g?\nAnswer: 15180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 152*r - 3797. Let n be y(25). Solve -5*x - 5*l = 25, 5*l + 10 = -2*x - n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.3 + 0.7. Let b = -196.6 - -67.5. Let d = b + 129. What is the third smallest value in 0.5, a, d, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 629*r + 2 - 22*r**3 - 623*r + 25*r**3 as o*r + n*r**2 + j*r**3 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = 415*f. Let y(g) = -g + 91. Let d(k) = -26. Let o(b) = 7*d(b) + 2*y(b). Determine o(a(z)).\nAnswer: -830*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 687610.\nAnswer: 2, 5, 7, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -5.844447*-191\nAnswer: 1116.289377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 12*l + 5. Let s(t) = -6*t - 3. Let h be (2\/(-3))\/(110\/825). Determine h*s(i) - 3*q(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:53 PM and 12:36 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 184026185?\nAnswer: 5, 7, 163, 32257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes after 12:55 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2115 + 2125. Solve p = 87*w - 77*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/26064 and -73\/22806.\nAnswer: 182448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*b + b = -48. Find the common denominator of 53\/54 and 2\/b*-83 - (-16)\/(-8).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**0*m)**(-2))**(1\/4) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 45662 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3*q - 730 = -136, -3*x - q = -358. What is the greatest common factor of x and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b + w - 27 = 0, 0 = -b - 2*w - 1 + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 3*h**5\/5 + 363*h**4 + 53949*h**3\/5 + 323061*h**2\/5 - 1374144*h\/5 + 995316\/5 = 0.\nAnswer: -574, -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 468\/24*(-4)\/3. Let o be 4\/b - (-4)\/26. Round o to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/2 + 817\/(-266)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 8. Let s be (2 - (c + -2))*-1. Let j(u) = -4*u + 2*u - 4*u - 3*u. Give j(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**4 + 932832*a**3 + 54386904088*a**2 + 108771009696*a + 54385038436.\nAnswer: 4*(a + 1)**2*(a + 116603)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -5. Let z be 6 + 1 + (-1 - 1 - h). Solve 29 = -z*c + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 536*f**2 - 8967*f + 8967*f + (-2*f - 4*f + 4*f)*(0 + 2*f + 0).\nAnswer: 532*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -122?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7183270 is divided by 239442.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2260, 2264, 2268?\nAnswer: 2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (35 - (-218595)\/(-6279))*(1 + 111) + -21?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10941 - -10929.249. Let y = g + 11.7. Let r = 0.0510088 + y. What is r rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2929*s + 69957. Calculate t(-24).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 9569, 9727, 9917, 10139, 10393?\n\"Answer: 16*t**2 + 110*t + 9443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 1:27 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -70686, -70685, -70674, -70647, -70598, -70521, -70410?\n\"Answer: t**3 - t**2 - 3*t - 70683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**2*v**2 + 518*h**2*v - 11*h*v**2 - 576*v**2 wrt h?\nAnswer: -2*v**2 + 1036*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 829336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, 581.\nAnswer: 2, 5, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 96949478 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(76) - (sqrt(76) - (sqrt(76) - (1*(1 + sqrt(76)) + sqrt(76)))**2)) + 0 + (sqrt(76) - (sqrt(76) + (2*sqrt(76))**2)) + sqrt(76) + 3 + 2.\nAnswer: -221 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 764638258 a multiple of 2890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9999012 + -9999013.60000025. Let t = x + 1.6. What is t rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4416228\/13 less than -339710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-14)*l*l*l**14*l)\/(l*l**(-1\/4)*l)**(17\/4) assuming l is positive.\nAnswer: l**(-71\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3220.779 centuries in years?\nAnswer: 322077.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*c + 4*c + 4, 16 = -v + 4*c. Solve -5*p = -3*q - 4, -2*p - 2*p + 3*q + 5 = v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 73 + 66 + 71 - 209. Let b(h) = -h - 3. Determine b(w) - o(w).\nAnswer: -w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-22)*j**28*j)\/((j*j**1)\/j*j\/j**(-15\/4)) assuming j is positive.\nAnswer: j**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 721 and 206?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2b3 (base 14) to base 13\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*b**2 - 4 + 0 + 4.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -4\/7  (c) 3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 25. What is the remainder when 26 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -229*s - 6807 + 1082 = 0 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 71244, 71243, 71240, 71235, 71228, 71219?\nAnswer: 71208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2472463.9 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 5*l**3 + l**2 + l + 1. Let g be n(-1). Let p be 6*(0 + 0 + -1). Let c be ((-16)\/(-12))\/(g\/p). Solve -c*i - 4 = -0*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18149 + 90748\/5. Put i, 6, -0.1, -2.9 in descending order.\nAnswer: 6, i, -0.1, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 20 = -y, 12 = -3*v - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 - 11. Let c = 3 - d. Let a = c + -2. What is the smallest value in -1\/3, -1\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.6, -1\/6, 4, 0.1, -3, -0.04 in ascending order.\nAnswer: -3, -1\/6, -0.04, 0.1, 0.6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0\/1 - (-3 + -25). Let u be 216\/a - 6\/(-21). Solve 2*v - u = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -7. Let k be (-9 + 9)*i\/4. Solve -4*t = -k*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -53740 - 0?\nAnswer: -53740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((24\/(-3))\/24)\/(1\/1*(-117)\/3159).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + 0 + 10\/15*(-126)\/78. Which is the third biggest value?  (a) 2\/21  (b) -3\/10  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 13*q**2 - 8*q - 9. Let a be s(9). Calculate the greatest common factor of a and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*d + 18*d + 2, 5*d = -5*y + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*k**2 + 823*k - 235*k - 209*k + 707*k - 14782 - 83501.\nAnswer: -3*(k - 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -303?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 8*z + 551. Let c(w) = 7*w + 552. Calculate -6*c(h) + 5*g(h).\nAnswer: -2*h - 557","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -1881*g**3 - 25*g**2 + 5*g. Let y(f) = -2821*f**3 - 40*f**2 + 8*f. Give 8*s(o) - 5*y(o).\nAnswer: -943*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 254 + -131. Suppose k - a = -y, -2*y - 5*k + 4*k + 250 = 0. Let t = y + 1. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 58408*g - 992939. Give x(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12 + 12 - 4*t)*(-t - 2 + 2) - t**2 + 3*t**2 - 1 + 5.\nAnswer: 6*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*((z**23*z)\/z)\/z)**(-36)*z\/z**(1\/3)*(z\/(z*z*z**32))\/z assuming z is positive.\nAnswer: z**(-2584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55423785 is divided by 5839?\nAnswer: 5836","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 + 29. Suppose w = o - m - 50, -20 = 4*m. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 9, c: 2}. What is prob of picking 3 h?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18685679 is divided by 50?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(3\/2)*o**(-3)*(o**0)**(-31))\/((o**0)**(-1\/13)*o**(2\/11)\/o**(-3\/7)) assuming o is positive.\nAnswer: o**(-171\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2211 + 101?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -4824\/2117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of -v**5\/510 + 7*v**4\/68 + 22*v**3\/51 + 7*v**2. Factor p(a).\nAnswer: -2*(a - 22)*(a + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51725856 and 217.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u + 3. Let t be p(4). Let n(d) be the first derivative of -d**4\/4 + d**2\/2 + d - 1470. Give n(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-2))\/(4 - (-22950)\/(-5740)). Let q = v + -278. What is the remainder when 26 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31 + 19. Let w = -4 - j. Calculate the greatest common factor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8063484 divided by 14097\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of o**7\/2520 - o**5\/30 + 3*o**2. Let i(p) be the third derivative of m(p). Let r(k) = -7*k**2. Determine i(r(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + t - 5. Let w = 8 - 4. Let v be k(w). Suppose -4*u + v = -1. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 5. Let s(t) = -3 - 4*t + 8*t**3 + 7*t - 9*t**3 - 3*t**2. Give s(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4696674734 to the nearest integer?\nAnswer: 1675","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8520955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 48766123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4254333 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + 2 - (26 - (0 + 4))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -74 + -73 + 133 + -6\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, g: 7, i: 8}. Give prob of picking 1 i, 1 g, and 2 m.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.1, 12393, -10098?\nAnswer: -10098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -0.02, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15 - -15.3. Put 1, l, 13 in ascending order.\nAnswer: l, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 + m + 11. Calculate l(7).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuww when four letters picked without replacement from {u: 7, w: 12}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 999434149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (47 - 49) + 49 + -22?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**4\/2 + 14*q**3 - 41*q**2\/2 - 149*q + 156 = 0.\nAnswer: -3, 1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gbgggggggggggxgg. What is prob of sequence bxg?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -246, 5, -2\/3, 892.9 in increasing order.\nAnswer: -246, -2\/3, 5, 892.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1566129 is divided by 9267.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 99310, 198619, 297928, 397237?\nAnswer: 496546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 5*s = -25, -j + 2*s + 6 = -0. Solve -j*f + 17 = -3*y - 0*y, -2*y - f + 7 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cxxt when four letters picked without replacement from {c: 3, q: 1, t: 1, m: 2, x: 3, b: 3}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 545 a factor of 8415890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -33 + 42. What is the highest common factor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jly when three letters picked without replacement from {j: 1, m: 5, y: 5, l: 1}?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddmtdmdmimmd. What is prob of picking 1 d and 1 m?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + -5. Let r = -1 - 1. Which is the closest to z?  (a) 1\/5  (b) r  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**3\/6 - 6445*q**2\/6 + 5128844*q\/3 + 68318666.\nAnswer: (q - 3242)**2*(q + 39)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87382.\nAnswer: 2, 43691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 37951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -2\/5, 0.3, 12\/13, 3, 21?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o - 7. Let g be z(11). Suppose -u = -g + 1. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2081\/4 + 523. Let r = 741.5 + -742. What is the closest to 0.1 in r, 2, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6052 + -6051. Solve -m + g = 0, 6*x - 5*m = 3*x - 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57921.53 nanometers in meters?\nAnswer: 0.00005792153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 10*m - 54 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 156102 + 16975 = u, -865407 = -5*u + 2*n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -9*d. Let q(c) = -11*c. Give q(u(k)).\nAnswer: 99*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -3 - (-2 + -3 + 42 + -50)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**(5\/2))**(-19\/2) assuming n is positive.\nAnswer: n**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**4 - 12*r**3 - 56*r**2 - 40*r - 2. Let w(x) = -10*x**4 + 59*x**3 + 280*x**2 + 200*x + 11. Let j(q) = 11*a(q) + 2*w(q). Factor j(m).\nAnswer: 2*m*(m - 10)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 198614062 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1948 + 1811. Is -135 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/376  (b) -2\/5  (c) -0.0592\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 322909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-1)\/(-7)*(-1)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + -25893210219128?\nAnswer: -25893210219126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -12. Suppose -9 = -2*q - c, -5*q + c + 0*c = -p. Suppose 5*d - q*z - 46 = 0, 2*d + 0*z = z + 18. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, m: 1, q: 1, r: 2}. What is prob of sequence im?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*k = -11*k + 8. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1570 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + z - 8 = 4*y, -3*y - 4*z + 17 = 0. Let a = -4 - y. Let j be 0\/(2 - 0\/a). Solve 5*p + s + 1 = j, -4*p + 2*s - 8 = s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5243 (base 6) in base 9?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -557561, -2229758, -5016747, -8918522, -13935077?\n\"Answer: h**3 - 557402*h**2 + 2*h - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -2*r**5\/5 - 16*r**4\/5 - 6*r**3\/5 + 64*r**2\/5 + 56*r\/5 = 0.\nAnswer: -7, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from gjmwhmk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 155*y**2 - 948*y + 13004. Give n(-148).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 4:59 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p - 282 - 95 = 0. Suppose 5*k = -0*k - 140. Do k and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*-2*(-11)\/(-4). Suppose -5*v - 41 = 19. Let b be (-299)\/(-3) - v\/(-18). What is the greatest common factor of b and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(27)*-5 + 2 - (sqrt(24)\/(sqrt(32)\/sqrt(4)) + sqrt(3) - sqrt(3))**2*2) + -3.\nAnswer: -15*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/3318 and -2 + 4\/32*-212.\nAnswer: 3318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10601 and -33.3.\nAnswer: 353013.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -249 - -991\/4. Let o be 1 + 0 - (-16)\/(-2). Let k = -11 - o. Which is the second biggest value?  (a) i  (b) -3\/4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1748479465 to the power of 1\/2, to the nearest integer?\nAnswer: 41815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1001110 - -11101000?\nAnswer: 10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -141 and -1.3?\nAnswer: 183.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16462 or 22067?\nAnswer: 22067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - 8*k - 22. Let m be j(-2). Let u = -1 - -2. Solve g - u = m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = -8*o + 131. Suppose 4*g = -3*d + 233, -d + o = 3*g - 152. What are the prime factors of g?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 2*sqrt(99))**2 - ((sqrt(88) + sqrt(88)*-2)\/sqrt(8))**2) + -3.\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 109885401 to the power of 1\/2, to the nearest integer?\nAnswer: 10483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 5*u = 12 + 46, -2*y - 4*u + 122 = 0. Suppose 5*b - y = 292. Does 17 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*s + 12, -2*b = -4*b + 4*s - 12. Suppose b = g - 16 + 1. Let w = 23 - g. Calculate the lowest common multiple of w and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 18246.25 litres?\nAnswer: 18246250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-20)\/(-4))\/(-5) - 15. Let a be 3\/4*w\/30. Let f = 2\/7 + 1\/21. Is a > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19922929 to the nearest integer?\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 2*o + 3 = 0, -8 = -t + 3*o - 2. Let x be (18\/15)\/(t\/(-10)). Solve -2*a + 6 = 3*i, -x*i + 10*a + 8 = 5*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-2)*6\/9*(-1548)\/9976?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 66*f**3 + 27*f + 27. Let z(q) = 4*q + 7. Let g be z(5). Let y(x) = 5*x**3 + 3064*x**2 + 2 - 3064*x**2 + 2*x. Give g*y(h) - 2*i(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -141019 + 205166. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3\/4)\/f*((f*(f\/f**7)\/f)\/f*f)\/f*f)**(-36) assuming f is positive.\nAnswer: f**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**3 - 14*l**2 - 13*l + 89. Determine j(12).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 1. Let o = 95 + -100. What is the biggest value in -3\/4, o, p?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the second derivative of -h**7\/189 + 91*h**6\/135 - 257*h**5\/9 + 11227*h**4\/27 - 16471*h**3\/9 - 8281*h**2 + 2*h + 1644. Suppose m(b) = 0. What is b?\nAnswer: -1, 7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10627 + -10623. Suppose a = -0*a. Solve -s + a*s + 10 = 5*w, 0 = -w + s - v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2. Let p(b) be the first derivative of 7*b**2\/2 - 2. Determine p(c(v)).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.209 to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum -58354662.3247 and 1.\nAnswer: -58354661.3247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d + d - 15*d + (-6 + 5 + 0)*(-3*d + 3*d - 2*d) - 3*d + 6*d - d - 2*d - 3*d + 3*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -134 bigger than -134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(2\/8)\/((-9)\/(-108)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.23 - 0.07. Let x be (-42)\/56*((-75)\/(-9) + -8). Which is the second smallest value?  (a) d  (b) x  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 652 is divided by 616?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/5 or -3017?\nAnswer: -3017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2971698 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 13*w**2 - 13*w + 17. What is the units digit of s(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -341\/2523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-3))\/((8\/(-48))\/((-15)\/4)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 997, 1001, 1001, 991, 965, 917?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -17*k**3 + 3*k**2 - 2*k - 1. Let y be p(1). Suppose -26 = 6*r + 82. Which is smaller: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102368531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + s**2)*(-660 + 662 - 450*s + 147*s).\nAnswer: -303*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 10277*t**2 + 5*t - 2. Let v be l(6). Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 3 = l. Let x = -16 - -21. Let z = x + -6. Put z, 4, l in decreasing order.\nAnswer: 4, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = -5*p + 15, 3*p - 4 + 10 = 2*z. Suppose 3*r - 6*r - 3*c + 1482 = p, 2462 = 5*r + 3*c. Is 35 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44679)\/(-2810) - (-6 - -21)?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (98\/(-4))\/(140\/1050*245\/(-56))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1110100022 - 11211?\nAnswer: -1110112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -523325 - -1?\nAnswer: -523324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 13071298 to the power of 1\/2, to the nearest integer?\nAnswer: 3615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -241 + 5132434?\nAnswer: 5132153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 - 1. Find t, given that 0 + 0 - 2*t**3 + 5*t**o + 3*t**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*4*(-5*sqrt(243)*-1)**2.\nAnswer: 48600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -378*19\/(-342)*9.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 19, 19, -3, -41, -89, -141, -191?\n\"Answer: i**3 - 17*i**2 + 44*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z**3 + 8*z**2 - 10*z - 7. Let m be b(-9). Suppose -u + 6 = m*u. Let v be ((-10900)\/4)\/(u\/8). Round v to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17.73 - -17.5. Let p = -82 + 90.77. Let y = u - p. Which is the second biggest value?  (a) 0.1  (b) y  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3 + 275)*30\/20. Suppose 840 = 2*k + 2*w, k - 2*k + 2*w = -x. What are the prime factors of k?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/7))**(-45)*u**2*(u\/(u*u**(-4\/7))*u*u)\/u*((u**(-3\/10)*u)\/u*u*u)\/u**6*u**(2\/9)*u**(-5\/6) assuming u is positive.\nAnswer: u**(3628\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r - 14 = 37. Suppose q + 3619 = 4*l, -r*l - 3*q + 4090 = 1372. List the prime factors of l.\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 32497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 3*j**4 + 939*j**3 - 93390*j**2 - 190512*j = 0?\nAnswer: -392, -2, 0, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 4 = 0, -b + 277 = 5*o + 2*b. Let j = o - 31. Solve -4*i - g - g = -j, -i - 5*g + 19 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 284 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 5*a - 3*q + 12, a - 4 = -5*q for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*n*t**3 + 4*t**3 - 4*t**2 with respect to n.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-250)\/(-230) + 12\/1104*-8. Solve 0 = 109*o - 108*o + k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 42023564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s = -2*v + 164, 2*s - 5*v = 301. Suppose 9*t = s + 247. Is t a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (150\/(-12))\/(-5)*222*(-18)\/270.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from wwuwphjwwpwp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -46*c + 311. Determine n(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*f - 2*c = -5*f + 26, 2*c + 6 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 42539 and 2524669.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the third derivative of 3*l**8\/112 - l**4\/12 - 6*l**2. Find the second derivative of w(t) wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 59 - 2*h + h - 25. Let j be 28 - -1*(-3 - 0). Let y be d(j). What is the highest common divisor of 63 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 13*q - 3. Let g be h(2). Suppose k - g = -5*y, -2*k + 6*y = 3*y + 6. Let m(c) = 3*c - 4. What is the units digit of m(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 320*d.\nAnswer: 2*d*(d + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*j + 6*j - 2*j)*(2*j + 0*j - 4*j) - 2*j**2 - j + j - 4*j**2 + 3*j**2 + 3*j**2 as x*j**2 + f*j + w and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.230063 years in months?\nAnswer: 14.760756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1122112101111 (base 3) to base 13.\nAnswer: -248c83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-285900)\/(-1286793) - (-2)\/(-9). Let t = 5480749\/857862 - v. What is the common denominator of ((-34)\/(-15))\/((-8)\/(-5)) and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 161?\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 295 = z - 4*u, 2*z + 44 = -3*u + 535. Calculate the greatest common factor of z and 23051.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -293*s**2 - 2319*s + 1?\nAnswer: -586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29041 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7074 and 26?\nAnswer: 91962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 376*o + 1101*o + 3*o**5 + o - 192*o + 73*o**2 + 65*o**2 wrt o.\nAnswer: 60*o**3 + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 4*w**2 - 12*w - 13. Give v(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*b - 56 = -63, 9*b = -9. Solve -a*y + 3*f - 6*f = -13, 3*y - 12 = -2*f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -317 less than 1.47?\nAnswer: 318.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -218, -69, 13, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -6*k**3 - 224*k**2 - 92*k - 448. Determine g(-37).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4 + -1. Suppose o = -b*o - 12. Is (-2)\/o - (-183)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.4  (b) -0.13  (c) 5  (d) 0  (e) -821\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37961420 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -d, -3*s - 5*d + 2 = -38. Solve -s = 2*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, -66, -2.\nAnswer: -66, -41, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 43*v + 70*v - 112*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**3 - 2*y**2 - 2*y - 5. Suppose 15*x = 4*x + 726. Let a = -71 + x. Let t(r) = 2*r**3 - 2*r**2 - 2*r - 6. Determine a*t(o) + 6*f(o).\nAnswer: 2*o**3 - 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -28 times -14.31\nAnswer: 400.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by (-5)\/(10\/(-27))*(-1780)\/(-801).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26730128.\nAnswer: 2, 1670633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000579559 to five decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-3 + -10 + 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36.080135366 + 7?\nAnswer: 43.080135366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46951\/78260 - -1\/15652. Which is the closest to 0?  (a) 14  (b) -49  (c) -0.2  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 62779151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -t**3 - 2*t**2 - t - 3. Let u be d(-3). Let k be (u - -2) + -1 + 3. Let r = k + -5. What is the remainder when r is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 11) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 3*k**2 + 8*k + 2. Let l(f) = 5*f**2 + 15*f + 3. Let a = -21 + 14. Let s(g) = a*n(g) + 4*l(g). Let t be 4\/1*(-3)\/(-3). Give s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) -2  (b) -5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -50?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-45)\/35)\/(63\/42)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/(-7)*(-336)\/(-96).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pump when four letters picked without replacement from {z: 1, p: 2, q: 1, u: 6, m: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15031030 - -3?\nAnswer: -15031023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrjrrrjjjjjjr. Give prob of sequence jrrj.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*r + 3*r + r - 1 + 2*r + 1 + (4 - 5 + 0)*(-2*r - 3*r + 4*r) + r + 3*r + r + (-1 - 4 + 3)*(3*r + 2*r - 7*r).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 11 = -3*z, 2*z + 4*k + 2 = 4*z. Let f(w) = w**2 + 4*w - 2. Let n be f(-6). Suppose -n = -z*u + 5. What is the highest common divisor of 24 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**3 - 10*j**2 + 10*j - 2. Let u be s(9). Let z = 21 - u. Let o be (z\/49)\/(2\/28). Solve 0 = 4*r - 2*r + 3*i - o, -5*r = -i - 27 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 4*n**3 - 2 + n**3 - 3*n**3 + 0*n**3 + (-n - 4*n + 6*n)*(0*n**2 - 4*n**2 + 3*n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*g**2 - 22*g + 19*g - g**2 - 2 to the form j*g + c*g**2 + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0*-1*(6\/4 + -2). Solve -h + 3*o - 11 = c, -2*h - 16 = -0*h - 4*o for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*o + 5 - 5)*(0*o**3 + 2*o**3 - o**3) - 5*o**4 + 12*o**4 + 6*o**4 - 2*o**4 - o**4 - o**4.\nAnswer: 11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -8.0958 and 1.\nAnswer: -8.0958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -64\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gjjgjgj. Give prob of sequence gj.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 326 + -322. Let -18\/5*b**2 + r*b - 8\/5 + 7\/5*b**3 - 1\/5*b**4 = 0. What is b?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 PM and 5:55 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1*-8*(-40)\/64*(-2)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 290 - 287.34. What is d rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41111519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 8:54 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6027\/164 - 3\/4 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1102.605 millilitres to litres.\nAnswer: 1.102605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times 18671001?\nAnswer: -93355005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 6, w: 9, n: 4}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*7\/21*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9\/18*8\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + 8409.\nAnswer: 8408.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, -3, -68, 4.\nAnswer: -68, -5, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -444 divided by -74.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of -2*t**7\/15 + 311*t**3\/6 + 4*t**2 - 104*t. What is the first derivative of u(y) wrt y?\nAnswer: -112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 664 in -0.1, 0.5, -3, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 241, 902, 2003, 3544, 5525, 7946?\n\"Answer: 220*o**2 + o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24 - 21. Suppose -5*i = -5*r - 500, -i + 3*r - 190 = -n*i. Calculate the remainder when i is divided by 15\/(1 + 3\/(-12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85438497 is divided by 1050.\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {p: 2, n: 2, u: 5, z: 1, y: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 9869857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 152524 (base 6) to base 4.\nAnswer: 3220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -185 + 182. Which is the third smallest value?  (a) 0.055  (b) 2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of -w**5\/40 - 5*w**3\/6 - 4*w. Let h(j) be the second derivative of s(j). Let q(x) = -2*x + 2 - 2. Determine q(h(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 2280866?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -245.787 - 0.313. Let r = -235 - v. Round r to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -326*n + 55 = -321*n + 2*a, 23 = 2*n + a for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/27)\/(3\/(-27))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 5*t**2 - 6*t + 64. Calculate b(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -1316?\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, -3, 1 in ascending order.\nAnswer: -3, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (14\/(-6))\/(154\/(-132)). Solve k*r + 7 = -x, r + 2*r + 24 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a**2 - 274*a. Let f(r) = -2*r**2. Calculate k(f(u)).\nAnswer: 4*u**4 + 548*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v\/v**12*v*v*v))\/(v**(3\/10)*v))**37 assuming v is positive.\nAnswer: v**(2849\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 54, -3, 3, -120, 4 in ascending order.\nAnswer: -120, -3, 3, 4, 7, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*k - 8. Suppose 15 - k = 2*j. Suppose 2*d - 4*h - 18 = 0, 3*d = -j*h - 6 - 0. Solve -2*w - 11 = -d for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126621 (base 14) in base 15?\nAnswer: c7550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1233103 - -75?\nAnswer: 1233178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -9. Let p(w) = -w - 6. Let h be p(a). Solve h = -j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/2, -91, 26?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -6\/11  (b) -2  (c) -5\/19  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 17 + (7 - 55) + 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (0 + -224)\/((-18)\/36). Is (f\/(-10))\/((-8)\/40) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8204 and 24346.\nAnswer: 14266756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -24*n. Let v(u) = -96*u. Let y(q) = -18*t(q) + 4*v(q). Let l(g) = g**2 - 9*g + 21. Let h be l(5). Determine y(h).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + 14\/(-6))\/((-2)\/3). Let q(f) = 1 - 2*f**2 - 2*f**a + 3*f**2 + 2*f. Suppose -2*l - l = 6. What is q(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(112) - (sqrt(112) - 2*sqrt(112)*-3) - (-3*(sqrt(112) + sqrt(112)*2) + sqrt(112))**2.\nAnswer: -7168 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -25*-2*2\/10. Suppose -5 + 1 = 2*u. Let m(h) = -12*h**3 + 5*h**2 - 6. Let n be m(u). What is the highest common factor of o and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1075\/215 - (204\/(-9))\/(-4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10456\/13 at most as big as 803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = 2*x + 5*y, 33*x - 3*y = 34*x - 44. Suppose 0 = 2*t - 2*m + 798, 3*m = 8 + 4. What is the remainder when (0 + -1)*t\/5 is divided by x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -44*r. Let h be o(-1). Suppose -4*w + 5*d + h = 0, w - 2 = -0*d - d. Suppose u - 1 - w = 0. Solve -1 - u = 2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240*((-1344)\/512)\/(-21)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.697347192 to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24065105 is divided by 8558?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.072 * 215.\nAnswer: 15.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 120 = 6*o. Let s(z) = 11*z**2 + 5*z**2 - 15 + z**2 - 14*z - 6*z**2 + z**3. Let l be s(o). Solve -3*h + 0*h + l = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - 4*q**2 - 5*q - 1. Let r be c(-2). Calculate the remainder when 5 is divided by r - (2 - 4)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 207\/504 - 1\/8. Which is the closest to 0.1?  (a) -0.1  (b) -1\/9  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 89 + -70. Suppose -3*l - 3*d + 75 = 0, 0 = -7*l + 8*l - 5*d - g. Suppose 22*f + 346 = l*f. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - z**2 - z - 1. Let j(v) = 6*v**3 + 3*v**2 - v + 4. Let g(m) = j(m) - 2*p(m). Let q(u) = 3*u**3 + 4*u**2 + 2*u + 5. Give 4*g(t) - 5*q(t).\nAnswer: t**3 - 6*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 24 - ((21 - 20) + -11)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5016 and 1254.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -7*a + 28. Let x(y) = -3*y + 14. What is 4*q(n) - 9*x(n)?\nAnswer: -n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 1 - 21. Let p = -55 + 439\/8. Which is the nearest to -0.1?  (a) p  (b) 0.5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*a - 15*a = 33*a - 289 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 183*d**2 + 10 - 46 + 13 + 10 + 16 in the form a*d + s*d**2 + v and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (546\/105)\/((-4)\/10). What is the third biggest value in 1, -4, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, -3, -2.85, -10, -52 in increasing order.\nAnswer: -52, -10, -5, -3, -2.85, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (15 + 5 + -10 - 0) + -1 + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (4*1*sqrt(72) - (sqrt(72) - (sqrt(72) + -1*sqrt(72))*-2))\/(-4*(sqrt(9) + sqrt(45)\/sqrt(5)*5)))**2.\nAnswer: -3*sqrt(2)\/2 + 73\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 h when three letters picked without replacement from bbvcbhkcbb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1+-991\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.024 + 0.176. Let t = -29 + 24. What is the nearest to -2\/3 in t, 7\/3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9620 divided by -2405.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 730 + -498. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/((m\/((((m*m**(-4\/7))\/m)\/m)\/m))\/m)*m))**(-23)\/((m*m\/m**12)\/m*m**(-2\/23)*m) assuming m is positive.\nAnswer: m**(-4195\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -7*j - 27. Let p be s(-12). Let l = -54 + p. Sort 35, -4, l in decreasing order.\nAnswer: 35, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (603*h + 4936 - 4936 + 299*h - 106973*h)*(-4*h**2 + 0*h**2 + 2*h**2) to the form k*h**2 + r*h**3 + j*h + q and give r.\nAnswer: 212142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 1 = 2, s + 3 = 2*i. Suppose -28*y = -i*y - 840. What is the greatest common divisor of 20 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -470*m**4 - 14*m**2 + 39*m + 11. Let o(s) = 471*s**4 + 21*s**2 - 40*s - 12. Let a(f) = -3*b(f) - 2*o(f). What is the second derivative of a(c) wrt c?\nAnswer: 5616*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-2\/19))**(-9)*(n*n*(((((n\/(n*n\/n**(-15)*n))\/n)\/n)\/n)\/n*n)\/n*n)\/(n*(n**(-2\/19)*n*n)\/n) assuming n is positive.\nAnswer: n**(-531\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12\/16*(-2 - -454)*1.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 276 + -325. Let l be (-19)\/(-95) - m\/5. Solve 7 = -3*g + l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1297 - 765. Let j be d + (-2 - 2\/(-1)). Is (j\/8)\/(2\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -5*b - 54, -4*b + 2 = -5*b + 2*v. Let h(n) = -n**3 - 11*n**2 - 7*n + 13. Let g be h(b). Let i(t) = -t**3 - 17*t**2 + t + 7. Determine i(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c - 16 - 32 = 0. Let s(a) be the second derivative of 0 + 0*a**5 + 0*a**3 + 1\/10*a**c + 0*a**4 - 2*a**2 + 4*a. What is the derivative of s(n) wrt n?\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 4*b - 8, 4*o = b + b + 18. Suppose d + o = 2*d. Let h(c) = -c**3 + 5*c**2 - 1. Let m(q) = q + 1. Let y(v) = h(v) - 4*m(v). What is y(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -31 and -17350.56505.\nAnswer: -17381.56505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 87 = 3*w, -4*w + 40 = 3*q - 10. Solve -6*t - 6 = q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -242 (base 9) in base 8?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -236.5 * -13.24\nAnswer: 3131.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*y + 1247 = -y. Calculate the remainder when 226 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 36, 1, 0, 4, 5 in increasing order.\nAnswer: -5, 0, 1, 4, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1093527980 rounded to the nearest one million?\nAnswer: 1094000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*d + 513 - 1029 + d - 14*d**2 + 512 to h*d + g + z*d**2 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*t**5 - 123250046*t**2 - 848437414*t?\nAnswer: -40*t**3 - 246500092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.66 - 1.97. Let c = b - -0.01. Let d = c - -2.8. What is the third biggest value in d, 4\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**2\/9 + 211*d\/9 - 1030\/9.\nAnswer: -(d - 206)*(d - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 + -13. Let m be 4 + (1 - 44\/10). Sort 1, t, m in ascending order.\nAnswer: t, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -335*v**2 - 81*v + 2. Let m(l) = -335*l**2 - 54*l + 2. Calculate 3*m(y) - 2*n(y).\nAnswer: -335*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8662 is divided by 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-y - 2*y + 2*y)*(-6 + 2 + 0)*(-1 + 3 - 1) + 17*y - 42*y + 4 + 14*y + 1 + 2*y - 1 in the form s*y + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 881193, 881189, 881185, 881181, 881177, 881173?\nAnswer: 881169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -58012*d**4 + d**2 - 304647*d?\nAnswer: -1392288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 6 = -2*s. Let n be 1 - (2 - s)\/1. Let f be (-2 - n)\/(-5) - 7600001. What is f rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 328 minutes after 11:51 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of -o**9\/1512 + o**8\/420 - o**6\/90 + o**5\/60 + o**3\/3 - 8. Let d(l) be the third derivative of s(l). Factor d(m).\nAnswer: -2*m*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f*q + 98711*f - 332*q**4 + q**2 wrt q.\nAnswer: 3*f - 1328*q**3 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.4 - -2.2. Sort 2\/11, 2, f.\nAnswer: f, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16972 + 16891 + 1 + 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**4 + 11*i**3 - 11*i - 14. Let q(c) = 4*c**3 - 4*c - 5. Let l(y) = -4*a(y) + 11*q(y). Differentiate l(b) with respect to b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-273)\/(-84) - 2\/8)\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 2*d + 2*t, 0 = d - 5*t + 4*t - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 61a139 (base 13) in base 7?\nAnswer: 25236606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5638390939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 139, 279, 419, 559, 699, 839?\n\"Answer: 140*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*12277686\nAnswer: -24555372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*c**2 - 17 + 2*c**2 - 8 to w*c**2 + g*c + n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (-1 - (0 + 4)) - (-76 + 74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262067 is divided by 3752.\nAnswer: 3179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48621, 97588, 146555?\nAnswer: 195522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.112 - -0.138. Let t = -0.25 + p. Suppose -12*f - 12 = -16*f. Which is the third smallest value?  (a) -1\/6  (b) 0.3  (c) t  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 37\/(555\/(-270))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-2951.\nAnswer: -11804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5472 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 10*x + 2. Let f(m) = -8*m - 1. Calculate f(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*g**4 - 6*g**2 - 3*g**4 + 21*g**6 - 22*g**6 wrt g.\nAnswer: -120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, 18911, 4, 2, -219 in decreasing order.\nAnswer: 18911, 4, 2, 0, -1, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3 + 5 - 5 - 12*s + 3*s**2 + 9*s**2.\nAnswer: 3*(2*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2701458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3\/374, 894, -4, -3\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the first derivative of -p**3 + 1 - 2*p**2 + 1\/4*p**4 + 4*p. Suppose -4*x = -3*x - 3. What is b(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-102)\/(-4))\/((-27)\/(-18)). Calculate the highest common factor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, i: 1, g: 1}. What is prob of sequence id?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6123466, 12246950, 18370434, 24493918, 30617402, 36740886?\n\"Answer: 6123484*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 20 = -4*p. Suppose t - p = 11. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67396 is divided by 2849?\nAnswer: 1869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 74.706 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1\/(-1 - (-2 - -2)). What is the units digit of (-2 - p)\/((-1)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 + 8 + -1 + -67 + 55.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-96)\/(-8) + -10 + 1 + 9804.\nAnswer: 3, 7, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.205 - 0.205. Sort -45, 0.4, q in increasing order.\nAnswer: -45, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -2*t + 14, -22*a + 35 = -17*a - 5*t. Solve -15 = -5*w, 5*z + a + 9 = 2*w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1 from -140462.4.\nAnswer: -140461.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15079*b**5 - 5*b**3 - 285399*b wrt b.\nAnswer: -301580*b**3 - 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2501, -2506, -2513, -2522, -2533, -2546, -2561?\n\"Answer: -z**2 - 2*z - 2498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32013 + -141423?\nAnswer: -104410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 - (-9 + -36 + 35)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmem when four letters picked without replacement from eeeeemeeeeeeeeememme?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*s**2\/5 + 89796846*s\/5 + 35918736 = 0. What is s?\nAnswer: -29932280, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5096 and 1976.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -137?\nAnswer: -3\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14172 or -14184?\nAnswer: -14184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000156579 to 6 dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 2*g. Let z be (g - 3)*(-108 - 3). Suppose z + 712 = 5*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/192*4*(-559 + 561) - (-79)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/163 and -39\/8?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of -y**7\/70 - y**6\/18 + y**5\/15 - 4*y**3\/3 + 9*y**2. Let n(w) be the first derivative of d(w). Solve n(m) = 0 for m.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -0*z + 3*o - 29, 2*z - o - 25 = 0. Let d = 6624 - 6622. Solve -4*y + d*y - z = -c, -5*y = -c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + y**2 - y + 1. Let f be n(2). Calculate the greatest common factor of f and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 786*g**3 + 7*g**2 - 4*g + 4. Let c(q) = q**3 + 1. Let a(t) = b(t) - 4*c(t). Is a(1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 156 + (1 - 10)\/3. Let l be (h\/(-18))\/(1\/(-2)). Suppose 0 = -2*u + 39 + l. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, w: 2, p: 4, x: 10}. Give prob of sequence xxw.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.3299*2\nAnswer: 0.6598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 72505 + -42172. List the prime factors of n.\nAnswer: 3, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 15, g: 4}. Give prob of picking 4 g.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1618 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the third derivative of 0*x**3 + 0 - 1\/24*x**4 - 2*x**2 + 0*x. Let k(n) = -n. Give k(f(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*p**4 - 81*p**3 - 146*p**2 + 185*p**3 - 89*p**3 wrt p.\nAnswer: 48*p + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 624435 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.4, 3, 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 5*u + 7 = -14, 4*u = 4. Suppose -3*n + 11 = -3*r + b*r, -2*r + 4 = -3*n. Solve 0 = 3*j + h + h, 0 = -4*j - r*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25591 is divided by 230.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*j**2*v**4 + 2*j**2*v**2 - 2*j**2*v + 63*j*v wrt v?\nAnswer: -60*j**2*v**2 + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 3*g = -14, 2 = 20880*d - 20884*d - 2*g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2948.08 * 0.072\nAnswer: -212.26176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.3 - 1.7. Let g = i + 5. Sort 1, g, -0.3 in decreasing order.\nAnswer: g, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*j**2*v**3*w**2 + j**2*v**2*w + 2*j**2*v - 7*j*v**3*w**2 + j*w**2 - 8*j wrt v.\nAnswer: -30*j**2*w**2 - 42*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1971*s + 1969*s = -20 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 14552*d**2 + 41*d + 6. List the prime factors of c(1).\nAnswer: 13, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-14)\/(-3))\/(-7)*3. Let s be (14\/(-1))\/(u + 0). Let i(h) = s - 9 + 4 - 6*h + h**2. What is i(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 3 = -p. Let j be (-2)\/p + 1 + -1. Solve -2\/3*a**3 + 0 - j*a + 4\/3*a**2 = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323815656 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: Calculate the greatest common divisor of 299 and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((1 - 4 + 2)*(-w - 3 + 3) - 15*w - 5*w + 6*w)*(1 + 2*w - 1) to the form n*w**2 + y + r*w and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*d - 12 - 142. Sort 2, 3, d in ascending order.\nAnswer: 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from aooooaalla?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (92*d - 46*d - 47*d)*(5 + 31 + 0) + 2*d - 3 + 3 to the form u*d + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zhnhzhzzznzzh. Give prob of picking 2 n.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of 0 - 7*j**2 + 1\/4*j**4 + 7\/3*j**3 + 0*j. Let o(x) = -2*x - 5. What is -4*f(h) - 11*o(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 733 + -729. Let r = 44 - 42. What is the smallest value in r, s, -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 88 - 87.99937. Round g to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 649, 653, 657, 661, 665?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*f = 10*f - 162. Is 891 + 3\/(f\/4)*6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*z + 0*z = 138, 4*z = -4*c + 564. What are the prime factors of c?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/9)\/b**(-2\/5)*b**(-11)*b*b\/(b*b**(-1\/3)))**46 assuming b is positive.\nAnswer: b**(-19642\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 31\/2  (b) 4\/3  (c) -1  (d) -2058\/11  (e) -0.3  (f) 5  (g) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.193, -171\/8, -9.3?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 390 and 197860.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*s**2 - 9*s**2 + s**2 to the form r + q*s + k*s**2 and give k.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-3)\/(-4))\/(54\/144). Solve 9 = -l - i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 63306*t**3 - 4*t**2 + 3*t + 4. Let g be f(-6). Let b = 8174254 + g. What is b rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -292.6 + 285.6. Put 8.5, -4, g in ascending order.\nAnswer: g, -4, 8.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 10\/(-25)*(-50)\/(-3). Let l be ((-3)\/(-12))\/((-20)\/40). Which is the third biggest value?  (a) i  (b) l  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -837.1, 98, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - 0.5. Sort o, 0.1, -3 in descending order.\nAnswer: 0.1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 (base 9) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2020103 - 112?\nAnswer: 2013331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2*3\/(-6) + 6. Suppose 5*a = -0*b + 3*b, y*b - 16 = 3*a. Solve -b - 1 = 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*g + 155696 = 89*g - 4*t, 0 = 3*g - 5*t - 155695. Is g a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2576 + 6955. What is the greatest common factor of 706 and u?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g**2 + 26414125*g + 79242420 = 0. What is g?\nAnswer: -3, 5282828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 528 - 292. Suppose v - 15*a = -19*a + 77, -2*a = -4*v + u. What is the remainder when v is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + i - 2*i)*(93*i - 93*i - 2*i**2) + i - i**3 - i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4802.491 millilitres to litres.\nAnswer: 4.802491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15491293 + 4601212.\nAnswer: -10890081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) -2\/5  (c) -9  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (((-2)\/(-2))\/1)\/(3\/(-99)). Let f = r - -32. Does -1\/34 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178133?\nAnswer: 53, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -141 + -1?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -16250208 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q + 14. Let w be i(-6). Suppose -147 + 957 = 15*p. Suppose -u - 5*t = -48, -t - p = -u - 6. What is the greatest common factor of u and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1810801)\/(-16003) - (24\/39)\/4?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1246237 to the power of 1\/2, to the nearest integer?\nAnswer: 1116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 2*s - 5*n, -5*s + 78 = n - 38. Calculate the remainder when 94 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 40 - 58051.88633.\nAnswer: -58011.88633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3*w. Let o(c) = -8*c - 1. Let g(d) = -6*o(d) - 17*t(d). Does 6 divide g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000072423 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the third derivative of a**6\/120 + a**5\/60 - a**4\/24 - a**3\/6 + 2*a**2. Let h(i) = 10*i**3 + 9*i**2 - 9*i - 9. What is -2*h(z) + 18*y(z)?\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a**2 + 6*a + 6. Let m(c) = -c**2 + 20*c - 82. Let r be m(14). Let p(x) = 2*x**r - 381*x + 190*x + 186*x - 5. Determine 6*p(d) + 5*v(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46*z - 46*z - 56*z**2)*(4*z - 3*z + z)*(-1 - 2 + 2)*(-4 + 5 + 0 - 42*z).\nAnswer: -4704*z**4 + 112*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -174.9605 - -175. What is p rounded to three decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400\/(-2100)*7\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 9, u: 2, j: 1, m: 4, a: 3}. Give prob of sequence aa.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**0*h)\/h**(-2)*((h**(-1\/5)\/h)\/h)**(24\/7))**33)**(-2\/7) assuming h is positive.\nAnswer: h**(8184\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + -3 - (83 + -176 + 62).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -65, -144, -223?\n\"Answer: -79*u + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7505796187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -15*h**2 + 2*h + 4. Let q(s) = -3*s**2 + 9*s - 2. Let f(c) = -5*c**2 + 20*c - 5. Let a(o) = -4*f(o) + 9*q(o). What is 13*a(m) - 6*p(m)?\nAnswer: -m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, w: 1, n: 1, e: 3, z: 6}. What is prob of sequence za?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (86\/(-3))\/((-2442)\/(-333)) - -4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -462 - -464. What is the highest common divisor of d and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-1 - -2) + (-15 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 268 - 274. Let v(u) = -u**3 + u**2 - u. Suppose 0 = 3*k + 2*k - 5. Let x(y) = -5*y**3 + 13*y**2 + 1. Let i(p) = k*x(p) - 6*v(p). Determine i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1c7 (base 16) in base 3?\nAnswer: -121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 476110, 476088, 476066, 476044?\n\"Answer: -22*m + 476132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o*(((o\/(o\/o**(-1)))\/o)\/o)\/o*(o\/(o*o**4*o))\/o*o**(-5\/6)\/(o**(-3)\/o*o) assuming o is positive.\nAnswer: o**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + 1. Suppose -l*d + 148 + 76 = 0. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19974 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-7\/2)*x**(2\/5) assuming x is positive.\nAnswer: x**(-31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 41054 - 40551.09. Let c = -324.42 + a. Let w = c + -180. Round w to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y**2 - 4*y + 4. Suppose -19 = g - 8. Let w(n) = -14*n**2 - 11*n + 11. Calculate g*s(m) + 4*w(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1530, -6091, -13684, -24309?\nAnswer: -37966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*d**5 - 882*d**3 + 2806*d**2.\nAnswer: 180*d**2 - 5292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1860281230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, a: 3}. What is prob of picking 3 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1590850 - 7019.28601\nAnswer: -1597869.28601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -193496 divided by 1444?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 387 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-25)\/40*5\/(50\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 - 14*f + 27. Let k be l(-17). Let y be (6\/(-1268))\/(12\/k). Is 1 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -5*c. Let d(f) = f - 439. Give d(r(b)).\nAnswer: -5*b - 439","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bb (base 13) to base 6.\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/6 + 21617675*f\/3.\nAnswer: -f*(f - 43235350)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (-51)\/18 + (-66)\/(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -o**2 + 7*o. Let h be a(7). Let u be 6\/(h + 1 + -3). Let n(v) = 4*v + 4. Let c(i) = i + 1. Calculate u*c(w) + n(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -164, -179, -218, -293, -416, -599, -854, -1193?\n\"Answer: -2*r**3 - r - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 6626, 12, -30 in decreasing order.\nAnswer: 6626, 12, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2107159 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*a**2*g**3*h*v - 26300*a**2*h**2*v + 101*a*g**3 + 2*a*h*v - 35*g**2*h**2 - 10*h**2*v wrt a?\nAnswer: 8*g**3*h*v - 52600*h**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -38*l - 79. Does 10 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1494  (b) -4\/5  (c) 1  (d) -4\/3  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 1)\/((-3)\/(-3)). Suppose r*m - 5 = -5*m. Is m at least as big as -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 184 - 180. Let d(t) = -6*t - t**2 + h*t - 5*t + 2 - 8. Determine d(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = -0*m - 15. Suppose 4*v = m*v + 6. Suppose 0 = -t - 2 + v. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50463 divided by 7.\nAnswer: 7209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 5*m + 53 = 8, -l - 3*m = -7. Let r(h) = -h**3 - 5*h**2 - h. Let c be r(l). Suppose 0 = -a - 3, 2*a - c*a + 245 = 2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3795*m - 2 = -k + 3793*m, 5*k + 7 = 7*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 2 = -j - 4*j, 0 = -4*q - j + 6. Suppose -5 = -k + 7. Let i = k - q. Calculate the remainder when 29 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -4*z - 488. Let p(b) = -4*b**2 - 8. Determine m(p(c)).\nAnswer: 16*c**2 - 456","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**5\/r)**(-17) assuming r is positive.\nAnswer: r**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -206091820 to the nearest one million.\nAnswer: -206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(-42649*r**3 - 85 + 1178 + 146976*r**3 - 1093)*(-2*r**2 + 2*r**2 - r**2).\nAnswer: 208654*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 454 - 435. Calculate the remainder when 340 is divided by y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -78931357*o**2 - 148*o + 718931?\nAnswer: -157862714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q**3 + 121040*q**2 - 968060*q + 1452000 = 0 for q.\nAnswer: 2, 6, 24200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 9*w**3 + 12*w**2 - 21*w + 6. What is the least common multiple of 22 and f(2)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 38641784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y + 5*y = -6. Suppose -6*g - 364 + 412 = 0. Let k(s) = s**3 - 9*s**2 + 7*s + 9. Let f be k(g). Solve 3 = -y*a + f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f\/f**2)\/f))**(-2\/25)\/(f**(1\/2)\/(f\/f**(2\/11)*f)) assuming f is positive.\nAnswer: f**(593\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - 27\/(-6) - (-15)\/30. Let k = 14 + -7. Suppose 4*f = j*f + k. Calculate the greatest common factor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*8\/40 + 1\/(-3). What is the third biggest value in -0.108, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 208144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -15*k**2 + 981*k - 3391. Give g(62).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 14*m + 36*m + 0 - 49*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, v: 2}. What is prob of picking 2 g and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*o = -7*o + 111, -f + 2*o + 37 = 0. Solve n + 5*z = -0*z + 22, -4*n - f = -5*z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - -2. Let z = o - 4.5. Let u = 0.49996 - z. Round u to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6*2\/(-18)*-3. Suppose -2*c = 4*i - y, 5*c - 17 = -0*c - 4*i. Suppose -c*x - x + 84 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -89685, -179341, -268999, -358659, -448321, -537985?\nAnswer: -627651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*o + 0*o - 2*o + (6 - 2 - 2)*(-4*o + 4*o + o))*(-7 + 3*o**3 - 35017*o + 35017*o) + 35*o**4 + 23*o**4 + 17*o**4.\nAnswer: 84*o**4 - 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 699614, 699616, 699618?\nAnswer: 699620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**4 + 4*z**4 - 3*z**4 + (-4 + 4 - 4*z)*(4*z**3 - z**3 - z**3) + 2*z**4 - 7*z**4 + 0*z**4.\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 413 - 374. What is the remainder when 168 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6155889km in nanometers?\nAnswer: 615588900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 2473\nAnswer: -2\/2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from {y: 2, q: 3, r: 2, d: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 8 = -p - 2*h, 0 = 2*h - 8. What is the remainder when 16 is divided by p - ((-14)\/3 + (-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**3 + 4*l**2 + 2*l + 5. Let z be f(-3). Solve -5*k + 13 - z = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-637)\/22295)\/(4\/(-42))\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1353, 1290, 1179, 1014, 789?\n\"Answer: -p**3 - 18*p**2 - 2*p + 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**3 + 60*i**2 + 395*i + 510.\nAnswer: -5*(i - 17)*(i + 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 - 2*i**2 + 3*i - 2. What is j(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*i*r*v + 8981*i*r - 33*r*v - 2*v wrt v?\nAnswer: 7*i*r - 33*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1782 divided by 138696?\nAnswer: 297\/23116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/((80\/48)\/(8\/(-12))).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 216306 and 528354?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -159*d - 128. Let f(h) = h**2 - 16*h + 29. Let t be f(12). Is m(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(-9)))\/a)\/(a\/(a*a*a*a*a**(-2\/33)))*a*a\/(a*a*a*a**(-2)\/a)*a**7*a*a assuming a is positive.\nAnswer: a**(724\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 31, 2 in ascending order.\nAnswer: -2, 2, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -5*r**2 + 1. Let m be s(1). Let x = 6 - 3. Let k be x\/2 + 1\/(-2). Put k, m, 2 in ascending order.\nAnswer: m, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 2*x - 11 - 3, -2*j + 4*x - 4 = 0. Suppose -j*n - 255 = -7*n. What is the remainder when n is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 19*m**2\/2 - 4*m + 1. Let l = 3 + 0. Is p(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 18*y + 75. Let z be b(-4). Put -2, z, 5, 1 in decreasing order.\nAnswer: 5, z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*z + 7*z - 156, 16 = -4*u. Suppose -2543 + z = -9*d. Suppose -d = -3*m - 0*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 155\/40 - 2\/(-16). Solve -g = -0*g - x, q*g - 5 = -x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 6*x**3 + 9*x**4 + 131*x - 131*x + 3*x**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/7, 0, 33.1, 1?\nAnswer: 33.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.35 - 0.05. Let g = -925 - -926. What is the nearest to g in s, -2\/11, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - u - 8185 = 0, u = 5*s - 0*u - 10232. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 12\/5*j**3 - 9\/5*j**2 - 3\/5*j**4 + 0*j + 0 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 equal to 158\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3783.4 - 3434. Let z = j + -349. Sort z, 36, 4, 1\/6 in ascending order.\nAnswer: 1\/6, z, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 9456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3 + 2.7. Let c = -9.192 + 9.172. What is the nearest to x in 0.4, -5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -876876 - -876876. Find r such that -1\/2*r**2 + 0 + 3\/4*r**3 - 1\/4*r**4 + j*r = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -37. Let w = 18 - l. Solve 5*b - 31 = -7*o + w*o, 5*o - 20 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = i. Suppose -3*k + 136 + 68 = 48*k. Factor 0*d + 0 + 3\/4*d**k + i*d**2 + 0*d**3.\nAnswer: 3*d**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 5*k**3 - 2*k**2 - 2*k - 2. Let o(j) be the third derivative of j**6\/12 - j**5\/12 - 5*j**4\/24 - 5*j**3\/6 + 20*j**2. Give -2*o(t) + 5*x(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-44)\/(-6))*(-46)\/(-621)*-18. Sort -1, -5, 0.4, o, 0.5.\nAnswer: -5, -1, o, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1207*a - 640*a + 2063*a + 7104*a in the form z + x*a and give x.\nAnswer: 7320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -8, 94, 302, 652, 1180, 1922, 2914?\nAnswer: 4192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of -s**5\/20 + s**3\/6 - 4*s**2 - s + 1. Let l(u) be the first derivative of v(u). Let n = -31 + 31. Calculate l(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -94 and 5.97.\nAnswer: -88.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gnnn when four letters picked without replacement from nvnvgvkvkvgvn?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5146 + 3*c + 5146.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 1  (b) -1  (c) 4  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 less than -47.4643?\nAnswer: -47.4543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 9 = -l - 2*l, 2*l - w = 5. Let o be (-28)\/13 - (5 + -7)\/l. Which is the nearest to -1?  (a) -3\/26  (b) -2  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -319840760 rounded to the nearest one million?\nAnswer: -320000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (59\/3 + 5)*3. Let d = c - 69. Solve 2*h = 3*h + 3, -d*n - 4*h = -13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 2456*h + 11 = -2453*h, 7*s - 5*h = -17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 9, -63, -195, -387?\n\"Answer: -30*z**2 + 18*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34593085920*u - 4*u**2 - 34593085920*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 56628\/1716*9\/44?\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7960 is divided by 996.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (152\/(-2) - -1). Let o be (-66)\/r*7*1. Calculate the common denominator of -9\/2 and 5\/o*316\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 8*v - 8, 2*k - 5*v + 26 = 0. Let o(t) = -88*t - 258. What is o(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1*-0.5.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69 = 104*w - 81*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93332.\nAnswer: 2, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eg when two letters picked without replacement from {f: 8, g: 1, e: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 - 3\/(-6)*5*-2. Solve 0 = d - a + 7, 5 = -2*d - b*a + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of -t**4\/12 + 7*t**3\/6 - 3*t**2 + t - 48. What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 10*o + 54 = 0. Let x = o - -9. Let u = x - -4. Which is the second smallest value?  (a) 0.3  (b) u  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 4*b + 1. Suppose 0 = 3*f - 9 + 3. Suppose -s + 0*s = -f, 5*h - 14 = 3*s. Suppose x + x = 2*q + 2, -x = -h*q - 10. Determine l(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.0002 rounded to two dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16193.\nAnswer: 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 23393194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6190 divided by -1238.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -4*x - 15, 5*m - 8 + 7 = -x + 24 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8538 is divided by 844.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 - 7*y**2 - 3*y. Let z(g) = g**3 + 6*g**2 + 2*g + 1. Let j(p) = 3*x(p) + 4*z(p). Is 5 a factor of j(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.11 and -478.692.\nAnswer: 52.65612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -5200 take away 22?\nAnswer: -5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-6) + 37\/(-2). Let z be (-40)\/f + 14\/(-63). Suppose 4*g - z = 4*r + 6, -2*r + 4*g - 8 = 0. Which is greater: r or -8\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.65 + -0.6499914. Round s to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.81844998 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 16.768*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 86*o**2 + 2*o - 4.\nAnswer: 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 5 + -10 + -19 + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*n + 7 + 42. Let w be 23*-1*n\/35. Let v = -29\/15 + w. Which is the fourth biggest value?  (a) -2  (b) -2\/3  (c) v  (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468747296 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 121*h**4\/3 - 362846*h**3\/3 + 275265061*h**2\/3 - 1622317452*h + 7256607372.\nAnswer: (h - 9)**2*(11*h - 16394)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*x - 42*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 13*i + 2. Let g(w) = -12*w - 1. Calculate 4*g(a) + 3*p(a).\nAnswer: -9*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14 - -404640655?\nAnswer: 404640641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -6. Let l(m) = 0*m**2 + m**3 + m**a + 6 + m + m**2 - m**3. What is l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (3\/(27\/(-115827)))\/(100\/(-300))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - -5)\/(-72 - -79).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5076 is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2 + -1 + -2 + sqrt(128))*-5)**2.\nAnswer: -72000*sqrt(2) + 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1314 - 396 = 9*w. Let a = -78 - w. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 10*a - 6*a = -45907, -i - 3*a = -15285. Suppose i + 2630 = 13*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/((-80)\/12))\/(12\/(-10))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 6*g**2 + 8. Let t be o(9). Suppose 6*j = -59 + t. Calculate the remainder when 415 is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence km when two letters picked without replacement from kmgmkgkmmkgmkg?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 3  (b) -23  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/122 and -31\/22?\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 141 = 6*v + 3*q, 48 = 2*v + 4*q. What is the greatest common factor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1092*r**6 + 518*r**2?\nAnswer: 131040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-10*s - 12*s + 18*s)*(-s**3 + 0*s**3 + 2*s**3)*(14 + 32 - 58) in the form t*s**4 + f*s**3 + g*s**2 + m + v*s and give t.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23.035 - 0.035. Let c = d - 22.983. What is c rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**3 + 4. Let q be b(0). Suppose -k = 3*k - 20. Suppose 2*w = k*w. Put 3, q, w in increasing order.\nAnswer: w, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 47 + 161 = 0. Let i be (-4)\/5 - g\/(-10). Is 20 a factor of 180\/14*28\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 122487501?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9979529 divided by -259.\nAnswer: -38531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyjyjjyy. What is prob of picking 2 j and 1 y?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 92 or -4900?\nAnswer: -4900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {s: 3, h: 2, c: 10, d: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zuzu when four letters picked without replacement from {u: 9, z: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 2287 - 822. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11583, 46349, 104295, 185421, 289727, 417213?\nAnswer: 567879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*h**3 + 10*h**3 + 562 - 4*h**3.\nAnswer: -3*h**3 + 562","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -7. Suppose -3*s + x*z + 8 = 3*z, 3*s + 3*z - 6 = 0. Suppose -d + 2*d - s*w - 37 = 0, 4*d - 5*w = 134. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6 + -9a3?\nAnswer: -9a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 12 - 19)*(6 + 0 - 2)*(3*y + 4*y - 5*y) to the form l*y + x and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 - 8*q + 6. Is a(9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 - 6*m**2 + 5*m - 6. Let z be 9\/3*1 + (-20)\/5. Let h(o) = -14*o - 9. Let n be h(z). What is q(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 99 + -99. Solve -3*t - 2 - 4 = p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -l**2 + 4*l + 3. Let z be c(5). Let o be 3\/2*(-8)\/6. Is (-1)\/(z\/(o - -360)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 94280502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34.28777 years to centuries.\nAnswer: 0.3428777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 AM and 8:35 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -0*m - 3*m + 1, 0 = -b - m + 1. Suppose -36 = -4*u - 0*u. Let h = -8 + u. What is the greatest common divisor of h and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -968*a - 203269. What is z(-210)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 50.61928 tonnes in kilograms?\nAnswer: 50619.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 2116 + 2054 = -4*f, 2*f - 27 = -5*y for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 19d4aa56 + -1?\nAnswer: 19d4aa55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/60 and -123\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.07  (b) -5  (c) -0.4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 - 1 = 5*u - 5*f, 3*u + 7 = 2*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1 + 1*((sqrt(891) + 4*sqrt(891)*-2 - sqrt(891)) + -5)*-2 + -2)**2.\nAnswer: 2016*sqrt(11) + 228145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((0\/1)\/((-22)\/(-11)))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 - 3. Let a = -12.7 - -12.771. Let k = 0.031 - a. What is the second smallest value in -0.5, t, k, 1\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -7*b + 3. Let y be 0 + b + (4 - 3). Let l(f) = -4 + 5*f**2 - 4*f - 3*f**2 - 2 - f**y. Calculate l(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 91 * -16604.6\nAnswer: -1511018.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4890516*-53.\nAnswer: -259197348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*p + h = 4*p + 70641, -2*h = 6. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 + -52 + (20 - -34)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j**4 + 2*j**4 + j**4 + 3*j**4 + 0*j**4 - j**4 + (-3 - j**3 + 3)*(3*j - 2*j + 0*j))*(-73*j + 9*j + 2 - 38*j).\nAnswer: -612*j**5 + 12*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 764 and 48681316?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 288 = -8*z. What is the remainder when 112 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 483 is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 2*j = -4*s + 46, -3*s = -3*j - 42. Suppose 0 = s*w - 8*w. Suppose 1 + 6 = -g + d, 0 = 3*g - 2*d + 19. Sort w, 4, g in descending order.\nAnswer: 4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + 16*k**2 + 23*k - 106. Calculate u(-14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5492 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -2*o + 23. Let m be u(42). What is the second smallest value in m, -3\/7, 2, -1\/5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11240.72ml to litres.\nAnswer: 11.24072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -3930628 divided by 4?\nAnswer: -982657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 21*h + 5. Let u be a(5). Let i(q) = q**3 + 7*q**2 + 5*q - 2. Let t be i(-6). Let j = t - -6. Calculate the greatest common divisor of j and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-133 - -133)*1\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 10, z: 4}. Give prob of sequence zzwz.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3181 to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/(-28) - (2 - (-57)\/(-28)). Let x(j) = j**2 + 52*j - 415. Let z be x(-59). Sort 2\/55, z, n, 0.4 in descending order.\nAnswer: 0.4, n, 2\/55, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 (base 14) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 34 = 3*a, 4*h + 5*a - 1327674 = -1327724 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a - 23*a**3 + 1689*a**2 - 1689*a**2 + 36*a**3.\nAnswer: 13*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z - 124*z**2 + 9*z + 122*z**2 to r + v*z + b*z**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 14*v**2 - 13*v**2 - 2*v + 6 - 5*v. Let y be l(6). Suppose y = 6*m - 134 + 20. Is 17 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -908 - -912.9. What is the nearest to -1\/2 in -1, v, -1\/5, 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - 5 - (36 + 72)) + 27?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-13 + 6) - -1 - (-1 - 3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 28 + 12 = -g, u - 5*g = -16. Let a(x) = x - 18. Let o be a(19). Solve 0 = -2*s + u - o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-742)\/(-56) - 13)\/4*6. Put k, 0.078, -10, 6 in descending order.\nAnswer: 6, k, 0.078, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.171 + 8.929. Let x = n + -5.644. What is x rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-83)\/(-996) - (-1 + 62\/72). Put 0.4, -2, 7\/2, -0.1, q in descending order.\nAnswer: 7\/2, 0.4, q, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 54819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*x - 204006 - 73903 = 0. Does 56 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58b0 (base 15) to base 16.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 251 = -4*j - 563, -600 = 3*j + 5*v. Let g = j - -295. What is the greatest common factor of 225 and g?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -322 - 110 = -12*n. What is the least common multiple of 36 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 7*l**2 - 50*l + 176. Let h be c(4). Suppose 5*s + h = 2*r - 355, 5 = -s. What is the remainder when r is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 279651 is divided by 7557.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 74687, 149339, 223991, 298643, 373295?\n\"Answer: 74652*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1018\/9 - 113. Let i(q) be the first derivative of -1\/12*q**4 + 1\/6*q**2 + u*q**3 - 1\/3*q - 2. Solve i(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b - 10. Let v be p(6). What is the third smallest value in -2, v, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*m**2\/15 + 514816*m\/15 + 7514182\/3.\nAnswer: 2*(m + 73)*(m + 257335)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + 2. Let r = 31.0011 - i. What is r rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 12*t**2 - 162*t + 12. Let u be v(-10). Calculate the greatest common factor of 48 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-160)\/36)\/4*1476\/(-328)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -5*w**2 + 7*w - 4. Let t(c) be the third derivative of 3*c**5\/20 - 13*c**4\/24 + 7*c**3\/6 - 14*c**2. Determine -7*r(v) - 4*t(v).\nAnswer: -v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -13*g - 77. Let l be q(-6). Let s be (0 + -3)*-227*l. Let m = s + -46. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 61651195.2ms to weeks.\nAnswer: 0.1019365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2678313859 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 15 = -5*z. Let h(u) = u**3 + 2*u**2 - 4*u - 2. Let c be h(z). What is the closest to c in -3, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z + 5*z = 0. Let x(n) = -2*n**3 - 7*n**2 - 19. Let o be x(-4). Is o >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, 17\/10, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(51)\/sqrt(3) - (-2 + sqrt(153)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 plus 24.2?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23522954*b*d**2*x**2 + 30367*b*d*x**2 - 2*b*d*x + 27*b*d - b*x**2 + b*x - x**2 wrt d?\nAnswer: -47045908*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 161366 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + 14*n**2 - 131*n - 1858. Let m be t(-12). Put 4, 43, 5, m in decreasing order.\nAnswer: 43, 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 15.6, 0.2, -0.1, 1\/3, 1\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -10*i**2 + 9*i + 2. Let h(f) = 9*f**2 - 8*f - 2. Let q(l) = -6*h(l) - 5*x(l). Let a(y) = -5*y**2 + 3*y + 2. Determine -3*a(k) + 4*q(k).\nAnswer: -k**2 + 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 28369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, z: 5}. Give prob of picking 3 z and 1 p.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -5*k**3 + k + 2. Let u(z) be the second derivative of 3*z**5\/10 - z**3\/6 - z**2 + 16*z. What is -7*c(t) - 6*u(t)?\nAnswer: -t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 10:16 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k + 3978 = -86*k - 146*k for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (20\/24)\/(1590\/(-954)). Let r = 3 - -2. Which is the closest to l?  (a) -5  (b) r  (c) -0.08  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 564480 and 68448?\nAnswer: 402474240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3890 = -2*c, -5*c + 3*b = 4644 - 14329. Calculate the greatest common factor of c and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - -2. Suppose -8*a - 29*a + 2331 = 0. Suppose a*l + 16 = 67*l. Solve -4*x - 24 = 2*c, 0 = -x + l*c + r + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:40 PM and 3:28 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -335*3191220.\nAnswer: -1069058700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 28*g - 103. Let j be x(5). Solve -12 = 40*s - j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 735 - 526. Let f be (-2)\/((-2)\/135*-3). Let a = f + 64. Calculate the highest common factor of a and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26.3 + 25.3. What is the closest to x in 0.2, 0.5, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -43.1 + 42. What is the nearest to k in 2, -1\/4, -2\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 times -4?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -h**5\/360 + h**4\/36 - 31*h**2 - 35. Let d(m) be the second derivative of o(m). Solve d(l) = 0 for l.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 97195065 and 12705.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52267?\nAnswer: 52267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(3\/4)*l)\/((l**(-2)*l)\/l)*(l\/(l**(-1\/3)*l))\/(l*l**(3\/4)))\/((l\/(l\/l**(-6)))\/(l**(-2)\/l)*(l**(2\/7)*l)**(-48)) assuming l is positive.\nAnswer: l**(1429\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 + -5. Let n be 39\/15 - (-4)\/10. Let j = -3 + 3. Solve -l = -n*x - j*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 13*x**2 - 6*x - 13. Let k be (-2)\/(-3) - ((-336)\/(-18) - -1). Let g = 25 + k. Is z(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(750) - (sqrt(750) - (sqrt(750)*2 + sqrt(750)))*-6) + sqrt(750)))\/(-1*sqrt(70)\/sqrt(7) - sqrt(80)\/(sqrt(8) + sqrt(24)\/sqrt(3))).\nAnswer: 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -2*t - 11. Let l be z(-7). Suppose 2*y + 0 = 6. Suppose 0 = -5*g + 2*i + 22, -y*i = -2*g + i + 12. Solve 5*b - 4 - 1 = -4*h, -l*b - g*h = -11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (11\/(-44))\/((-9)\/(378\/(-285))). Are 0 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/2765 and 24\/747103.\nAnswer: 3735515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -12*w**2 + 596*w + 213. Let y be a(50). Solve t = 11 - y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/5 - 268*d\/5 - 2493\/5.\nAnswer: (d - 277)*(d + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away 634368.6?\nAnswer: -634373.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-12))\/(2*(-3)\/(-90)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*d**2 - 58*d**2 + 13*d**2.\nAnswer: -85*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 6*d + 27. Let l be w(9). Suppose -7*z + 0 - 14 = l. Let j = -3 - -4. Which is the nearest to z?  (a) -1\/2  (b) -1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 74 divided by 19121?\nAnswer: 74\/19121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1088197*o**2 + 557 - 3084 + 2192*o**4 + 1088197*o**2 wrt o.\nAnswer: 8768*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 2 - 3. Let x(o) be the first derivative of 0*o**2 - 2 + 2\/15*o**3 - 1\/15*o**6 + 1\/10*o**4 + 0*o - 2\/25*o**m. Factor x(a).\nAnswer: -2*a**2*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102938153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -29410*c**2 + 38 - 9007*c**2 - 38 in the form r + n*c + d*c**2 and give d.\nAnswer: -38417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0982 and -0.3?\nAnswer: -0.02946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(2 + -2 + -6). Suppose n*m - 2*m = 108. Let q = 399 - 392. What is the remainder when m is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.0042 rounded to one dp?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from owoooowowooo?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t - 16. Let u be q(-8). What is the units digit of u\/(-14) - 24\/(-84)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2091*c + 1 + 0 - 8*c - 52*c as y*c + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f - 40. Let a be l(-56). Calculate the highest common divisor of a and 608.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -30, -127, -332, -699, -1282?\n\"Answer: -9*k**3 - 34*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i = q - 121, 0 = -474*i + 472*i + 3*q - 21 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by 7078161?\nAnswer: 8\/7078161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 88 and 0.0713.\nAnswer: 88.0713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 606, 1208, 1810, 2412, 3014?\nAnswer: 3616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -3004644526\nAnswer: 3004644525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 0)\/(-3 + 5). Let j be (-4 - -2)\/((-4)\/(-4)). Which is the second biggest value?  (a) j  (b) 1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/4*(-40)\/4. Solve 10 = -l*t - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from veaalevaaelvvmeeeav. What is prob of picking 1 a and 1 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -371 (base 10) to base 12.\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*b*i**3 + 2*b*i**2 - 6*b*i + 486948*i**3 - 196*i**2 + i - 26 wrt i?\nAnswer: -150*b + 2921688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32859588 and 167.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -l**6\/40 - 5*l**5\/12 + l**4\/24 + 573*l**3 - 260*l**2 + 4*l. Differentiate i(d) wrt d.\nAnswer: -9*d**2 - 50*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 12:39 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1642549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 4*t - 209, 0 = 2*t - 4*z - 80 - 22. Let l = 22 - t. Let j = 42824 + -42856. Is j <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 2 - 2 + (-22 - 8 - 24)*(-14 + 14 + 36*a).\nAnswer: -1943*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 14*n**2 + 13*n + 37. Let d be k(-5). What is the greatest common factor of d and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1624\/28)\/(-29)*(-1)\/((-16)\/10)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 6*u - 12. Let x be n(3). Let y be (8\/x)\/4 - 12234\/(-18). Suppose -3*q = -y - 52. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - x**2 + x + 4. Let i be a(0). Suppose -5*m + 10*m = 25, -i*y + 11 = -m. Suppose -65 = -y*w - q, -3*q = w - 0*w - 30. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 20 + -15. Let p(g) = -1 - 5*g + 4 - g + 4. Give p(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 23545 + -23536. Solve r*o = 13*o + 4*p + 40, 5*p = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q + 7. Let c be f(-5). Suppose -c*j - i = 3*j + 11, 0 = -4*j + 2*i - 6. Is 19 + 0 + (j - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 77272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106 + 61 = -9*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 125  (b) -0.15  (c) 140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 808, 792, 776, 760, 744?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1010334388, 2020668775, 3031003162, 4041337549, 5051671936, 6062006323?\n\"Answer: 1010334387*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12 + -101221222?\nAnswer: -101222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**2*f**3 - 1265*d**2*f - 8*d*f**3*h + 7*f**3*h - 18*f**3 + 2*f**2 + 5*h - 3 wrt d?\nAnswer: 4*d*f**3 - 2530*d*f - 8*f**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*r**2 - 6*r - 9*r**2 + 4*r**2 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 0. Let d = s + 2. Suppose -g = -4*v + 12, 5*v + g - 33 = -0*v. Put v, 0, d in increasing order.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2 + 82*g - 241. What is q(38)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 168.143 - 168. Let d = t + -0.1429772. Round d to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -20889, -40500, -57557, -70782, -78897, -80624?\n\"Answer: 213*x**3 - x**2 - 21099*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 1 - 1)*(-40 - 25 - 22)*(4*s**4 - 2*s**4 - 3*s**4) in the form i*s**4 + a + j*s**3 + x*s**2 + r*s and give i.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/48*(-3072)\/3328*12\/9\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*h**4 + 40*h**4 - 61*h**4 + (-3*h + 6*h - 4*h)*(-2*h**3 - 3*h**3 + 4*h**3) to the form u*h**4 + t*h + i*h**3 + o + l*h**2 and give u.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**5 - 10618*u**4 - 1383680*u**3 - 44539904*u**2 = 0. Calculate u.\nAnswer: -64, 0, 5437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + (-28 - 5) + -2 + -2 + 2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve i**5\/4 + 46121*i**4\/4 - 103795*i**3 - 115325*i**2 = 0.\nAnswer: -46130, -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-63)\/(-9)*(-2)\/(-7). Suppose -4*b + 0 + 2 = l*i, -5*i + 5*b = 55. Let f(p) = p + 8. Give f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((m**2 + 0*m**2 + m**2)*(-4*m + 4*m - m) + m**3 + 0*m + 0*m)*(-10 + 26 + 32) + 4*m**2 + m**3 - 4*m**2 as c*m**2 + o + p*m + v*m**3 and give v.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + o - 15955 = -15974, 3*o = -3*z + 33 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.044 - 0.012. Let v = 2.582 - i. Round v to 1 dp.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 PM and 10:25 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 9*t = 4*t + 123, 0 = 4*t - 12. What is the remainder when q is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12312 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27 - 24 - (2 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, q: 19}. What is prob of sequence qqq?\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 270 != 1351\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 756, 1473, 2190, 2907?\n\"Answer: 717*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36 - 22. Suppose -9*k + h*k = -10. Which is the closest to k?  (a) 0.2  (b) -0.3  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*h + 223 = 0, 9*x + 3*h + 660 = 12*x. Which is smaller: 225 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*f**2*j**2 - 17*f**2*j - 49*f*j**2 - 2*f*j - 55*j**2 - 201*j wrt j?\nAnswer: 8*f**2 - 98*f - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1469366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 divided by -2979?\nAnswer: -277\/2979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 446 - 251. Suppose -213 + h = -3*w. Solve -3*u = v - 9, w + 10 = 4*v + 2*u for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -3*t + 31, -3*t - 3*g + 10 + 56 = 0. What is the remainder when 48 is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 6 = -3. Let a be (4\/(-4) - -3) + o. Let s be 7\/(a\/16*-4). What is the highest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 61*r**5 - 33*r**5 + 55*r**5 + (4*r + 8 - 6 - r)*(-2*r**4 - 1 + 1).\nAnswer: 77*r**5 - 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6079*q - 6106*q = 1053 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -56 + 74. Suppose -4*v + 5*l = -108, -8*l = -4*v - 6*l + 96. Let z = 42 - v. What is the smallest common multiple of f and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 10 = r. Let l(b) = b**2 - 3*b. List the prime factors of l(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of c**7\/35 - c**6\/8 + c**5\/15 - c**3\/2 - 146*c**2. What is the third derivative of y(t) wrt t?\nAnswer: 144*t - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 - 17628232*b - 77688640861456.\nAnswer: -(b + 8814116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 - 7*k + 1. Let f be c(-6). Let r(y) = f*y**2 + 9*y**2 + 3*y**2. Let p(j) = j**2. What is p(r(w))?\nAnswer: 361*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 96178732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r = 57574 + 33638. Let t = -3864 + r. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(-5 - -2) + 11844\/84. Calculate the highest common factor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**15\/(g*g**(-2)*g))\/(g**(-11)\/g**9) assuming g is positive.\nAnswer: g**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 0*m + 36 = -5*m, 5384*r + 7*m = 5384*r - m - 16 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -553\/5 - -111. Let z = 0.02 - -0.28. Which is greater: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*k**5 + 5*k**2 - 18*k**5 - 9*k**2 - 11*k**2 wrt k?\nAnswer: -780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 47618018*p**2 - 22088845*p wrt p?\nAnswer: 95236036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 13809a - 4?\nAnswer: 138096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 10*w - 13*w = 24, -4*w = -5*q + 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39846437 and 1167.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -h**4\/36 - h**3\/6 - h**2\/3 - 9*h. Factor z(r).\nAnswer: -(r + 1)*(r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide ((-24)\/2)\/((-9)\/102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001021916 to seven decimal places.\nAnswer: -0.0001022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 - 5*r**2 + 22*r + 46. Let u be q(-3). Suppose -j - 54 = b + 2*j, 3*j = -15. Let t = u - b. Solve -2*n + 7 = -t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9.17 - 1.93. Let u = y - 367.9. Let b = u - -379.00000161. Round b to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 0 + 2*m + m**3 - 10 to j*m**2 + f + w*m + y*m**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1820707?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 + -12. Let i(z) = -4*z**3 + 2*z**2 - 2*z + 1. Let x be i(1). Let s = 648.6 - 649. Sort x, s, b in increasing order.\nAnswer: b, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -11, -3\/5, -0.03 in decreasing order.\nAnswer: -0.03, -3\/5, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 70, 120, 190, 286?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.3, 5, 0.0827?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 349 - 999 = -v, 439 = 2*b - 5*v. What is the remainder when b is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 798957 and 126?\nAnswer: 11185398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*c = 28, 2*c + 44 = -l + 5*l. Suppose 5*m + 102 = l. Let t = m + 31. What is the remainder when 25 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 2*j - 3. Let o be w(-4). Suppose -21*t = -183 + 78. Differentiate 3 - t*a + 2 + o*a + 6*a wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 43628.\nAnswer: -43627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2)*(0*l**5 - 3*l**5 + l**5) + 181388*l**2 + 65*l**5 - 181388*l**2 + 4*l**4.\nAnswer: 69*l**5 + 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) 4\/7  (b) -2\/81  (c) 0.1  (d) 1271\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q - 132 = 2*c, -175 = 6*q - 77*c + 96*c for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2662 and 3872.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3403177, 3403156, 3403129, 3403102, 3403081?\nAnswer: 3403072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 531.3791ml in litres?\nAnswer: 0.5313791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c**3 + c**4 - c + 0*c**3 - 4*c**3 + 2*c**3 to l*c**4 + q*c**3 + m*c + x + z*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 9:47 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*l - 71928, 3*i + i + l = 143853. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrrvvrvrrrrr. Give prob of picking 1 r and 2 v.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-20))\/((-54)\/(-8)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*b + 152 + 178 - 22 = 0. Solve -23*n = -b*n + 48 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1557, -1458, -1389, -1344, -1317, -1302?\n\"Answer: c**3 - 21*c**2 + 155*c - 1692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -330204 + -108136. What is w rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + 3*n + 4*z - 33, -5*z = n + 6. Let t be -1*(-345)\/(n\/3). Suppose 0 = q + 69885 + t. What is q rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.56762, -0.2, -1, -1\/3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, -12, 4, 15, 5994.\nAnswer: -12, 4, 12, 15, 5994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/26, -2.15, 0.2.\nAnswer: -2.15, -1\/26, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 - 11*d**2 + 15*d + 30. Give h(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43794 is divided by 10893?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, e: 1, b: 3, w: 4, i: 7}. Give prob of picking 2 w and 2 i.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -1\/2  (b) 8  (c) 1\/6  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*x + 138 - 32. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/(-2 - 3\/(-3)). Suppose -5*l + 18 = -0*l - 3*n, 0 = -n - 1. Suppose l*q - 5 - 4 = 0. Sort u, 2, q in ascending order.\nAnswer: 2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8997504*a**2*q*u - 2*a**2*q - a**2*u - 2*a + 7884298*u wrt q.\nAnswer: -8997504*a**2*u - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/(-18))\/5*(-24)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12385*a**4*v**3 - 187*a*v**3 + v**3 wrt a.\nAnswer: -148620*a**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -57*w + 1441 - 187. Let l = 50 + -18. Calculate the smallest common multiple of w and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a**2 + 4*a**2 + 0*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2471471 is divided by 599?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 4 + 1)*(3*x + 2*x - 6*x) + (2 - 2*x - 2)*(-5 + 3 + 4) + 4*x - 2*x + 0*x to p*x + i and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4192761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 24 + -40. Let f be t\/7 + (-6)\/(-21). Sort 0, 7, f in descending order.\nAnswer: 7, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h + 4. Let w be v(-2). Let p(y) = 6*y. Let i(c) = 5*c. Let l(f) = 5*i(f) - 4*p(f). What are the prime factors of l(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of 0 + 0*h + 0*h**4 + 151*h**2 - 109\/30*h**5 - 113\/60*h**6 + 0*h**3. Find the third derivative of a(q) wrt q.\nAnswer: -1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2814979?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (-28 - -23) + (0 - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 16684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2888*u**2\/17 - 1368*u\/17 + 162\/17.\nAnswer: 2*(38*u - 9)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.8, 2 in increasing order.\nAnswer: -0.8, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13.82 + 14. Let m = 0.08 + -0.2. Let h = g - m. What is the closest to -1 in h, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of d**5\/20 + d**4\/2 - d**3\/6 - 3*d**2\/2 - 2*d. Let s = -42 - -45. Let z = -9 + s. Determine o(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 81.59 - 82. Let x = 2.41 + u. Let r(l) = -l**2 - 6*l + 17. Let p be r(-7). Which is the smallest value?  (a) 1  (b) p  (c) x  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-25)\/(-3))\/((-19)\/57). What is the remainder when v\/(-5) - -163 - 3 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 3*s + 15. Calculate the remainder when l(12) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -6*d**2 - 8*d**2 + 18*d - 8 + 23*d**2 - 8*d**2 - 3*d**2. What is a(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40331.677 rounded to the nearest one hundred?\nAnswer: -40300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*u**4 - u**4 - 2*u**4 + (48*u + 420*u + 487*u - 2)*(-u**3 - 1 + 1) to the form m*u**2 + a + w*u + p*u**4 + o*u**3 and give p.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = 3*r, -5*y = -2*r - 2*r - 2. What is the third derivative of -15*f**2 + 13*f**2 + y - 2 - 3*f**3 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-6)\/(-180)*(62\/8 - 1). Let x(c) be the second derivative of 5\/84*c**7 + 1\/12*c**4 + 0 + 1\/5*c**6 - 3*c + 0*c**2 + 0*c**3 + w*c**5. Factor x(d).\nAnswer: d**2*(d + 1)**2*(5*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21 - (5 - -20)) + (-123)\/(-24)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - m + 3*m = 18, d - 6 = -2*m. Let o = -100 + 96. Sort o, d, 0 in descending order.\nAnswer: d, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppkrkirpkprkk. Give prob of sequence krki.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 780, -1\/7, -2\/7, -7, -13 in increasing order.\nAnswer: -13, -7, -2\/7, -1\/7, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from uyyuyyuyyyuyuy?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 363006 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 537*a = 1487*a - 45600 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 876456 divided by 146076\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4886207377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 132 and 20724.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.8  (b) 8.6  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.69152044 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5813*g**3*v**3 + 2*g**2*v**3 + 2*g**2*v**2 - 37*g*v**2 + 6*g*v wrt g?\nAnswer: 34878*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from frsfzrrrrffrsrzzrzz. Give prob of sequence zf.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -a + 2*t, 0 = -a - 0*a + 4*t + 17. Let s = -5 + a. Solve -s*k = 7 + 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -24 - 97 - (-4 - -6 - 9)) + 3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5684 times -13932\nAnswer: 79189488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 150745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/21 + 0 + (276\/27)\/((-280)\/(-84))?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k - 61. Determine y(-21).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 5*i + 1. Let n(g) = 6*g + 1. Suppose m = 5*m + 28. Let w(q) = m*u(q) + 6*n(q). Let j be w(5). Put j, -3, 0 in decreasing order.\nAnswer: j, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = 3*o + 15, 9*o + 15 = -4*r + 6*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 110094946937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -109 - -110. Let j(f) = -4*f**2 - 3*f - 5. Let h(v) = -v**2 - v - 1. What is z*j(w) - 3*h(w)?\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 17 in 4, -9\/2, -3\/4, -2, -1\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 841 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -273\/8 + 111\/4. Let w = 11614\/1245 - -2\/415. Find the common denominator of v and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t**2 + 7*t - 6. Let l be o(5). Suppose l*y + 92 = -j, -j - 116 = -y + 6*y. Calculate the remainder when (16\/(-6))\/(4\/y) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 5. Determine r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of 0*f**2 - 1\/3*f**3 + 0*f - 15. Let w(b) = 5*b - 6. What is g(w(l))?\nAnswer: -25*l**2 + 60*l - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/7*(-12)\/576*-56*(-3)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.2  (b) 3\/7  (c) -1  (d) 2\/7  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*z**2 + 119*z**2 + 123*z**2 + 27*z - 399*z**2.\nAnswer: -z**2 + 27*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -22406 divided by -153\nAnswer: 1318\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 568.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-764)\/187 + 3 + 450\/2550?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*k - 118*k = 253 + 3 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -7*d. Calculate s(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*m - 221*m = 76 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -3*d - 8. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 59a4?\nAnswer: 59a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/41385 and -143\/82770?\nAnswer: 82770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 2810*y - 342942. Give g(122).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 25  (b) -4  (c) 1  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 4, 1, -2, -7 in increasing order.\nAnswer: -17, -7, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the first derivative of 56*k**3\/3 - 4*k**2 + 24*k + 115. Calculate the remainder when r(2) is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 2716 = -4*j, -i - 5*j + 281 + 422 = 0. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -508 - 4?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16, -1\/14, 0.00151?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 590 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 50 - 7. What is the remainder when x is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 8) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -4*l + 2*l. Let a(d) = -5*d**2 + 40*d + 3. Let w be a(8). Calculate the greatest common factor of l and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3197853*d**2 + 16484*d - 182?\nAnswer: -6395706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -709*x + 265 + 87 = -698*x. What is the remainder when 179 is divided by x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from {o: 6, t: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of l**7\/84 - 4*l**6\/15 + 8*l**5\/5 - 53*l**4\/12 + 79*l**3\/12 - 11*l**2\/2 - 2*l - 121. Solve r(c) = 0 for c.\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -93\/7 - -95\/7. What is the smallest value in -3, h, 1\/9, -2\/7, 0.09?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3149 divided by 30.\nAnswer: 3149\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 3154140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9274*b**3*c - 190*b**2*c**3 + 7425700*b*c**3 wrt b.\nAnswer: -55644*b*c - 380*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 15 = -5. Let i be 1 + (-2 - 0 - n). Solve -i*v = 6 - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**8)\/(o**(-3)\/o)*(o*o**(-2\/11))**(-35) assuming o is positive.\nAnswer: o**(-172\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7182 divided by -1.\nAnswer: 7182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 15*z**3 - 2*z**2 - z + 2. Let a be n(2). Suppose -1314 + 264 = -25*t. Calculate the highest common divisor of a and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251907 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -591 + 645 = -27*g. Sort -259, 1\/5, g in descending order.\nAnswer: 1\/5, g, -259","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36338\/5 + -7267. Suppose 9\/5 + 36\/5*q**2 - 18\/5*q**3 - 6*q + o*q**4 = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.011  (b) 0.3  (c) 0.09035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/51 and (7\/((-7854)\/(-39)))\/((-8)\/40).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15*f**3 - 113*f**2 + 27*f - 21?\nAnswer: -90*f - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t**3 + 8290*t**2 + 2090945*t + 2082660 = 0 for t.\nAnswer: -1348, -309, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1371?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 310503, 620998, 931467, 1241898, 1552279, 1862598?\nAnswer: 2172843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000212767 to 6 dps.\nAnswer: 0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43 + 184*c - 175*c + 93.\nAnswer: 9*c + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -160*q - 23225. Give o(-168).\nAnswer: 3655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 8*o - 23. Let v be q(9). Let s be (-183)\/12 - 1\/(-4). Let u = v - s. What is the closest to u in -2\/7, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125 = -4*j + 5*g, -6*g - 10 = -4*g. What is the remainder when 162 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.4 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(5\/4)*(z\/((z\/(z\/(z*z**(2\/5))))\/z*z))\/z)**(2\/13))**(-18))**(1\/15) assuming z is positive.\nAnswer: z**(9\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(640)*2)\/(sqrt(5) + -2*sqrt(320))*2.\nAnswer: -32*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = y - 77, 0 = 4*p - 5*p - 1. Let c(o) = -o**2 + 25*o - 64. Let r be c(22). Find the second derivative of -5*s + 60*s**r + 21*s + 0*s - y*s**2 wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wlehlhelleleelnl. What is prob of sequence hhn?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 103\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (7\/4)\/(1869\/2136). Solve -g + 10 = 2*d, 0*d + x*d = 5*g - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 606164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g - g - g + 4 + 7*g. What is the units digit of l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103667045, -207334086, -311001123, -414668156?\nAnswer: -518335185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 2*c + 1. Let s(h) be the second derivative of -h**3\/2 - 7*h. Let l be s(1). Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 6, e: 4, t: 6, x: 1}. Give prob of sequence teyx.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1826 + -1093. Calculate the remainder when b is divided by 49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618151 is divided by 153441.\nAnswer: 4387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6632 is divided by 6004.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -19*h**2 + 11*h - 7. Let s(p) = 10 + 24497*p**2 - 9 - 4 - 24506*p**2 + 5*p. What is -5*s(t) + 2*x(t)?\nAnswer: 7*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3372 + 4856. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c**5 - 1496*c**4 - 16304*c**3 - 66492*c**2 - 119502*c - 79596 = 0. What is c?\nAnswer: -737, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 16*t = 5*v - 2590463, 4*v - 2072386 = 2*t. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 m, and 1 r when four letters picked without replacement from {m: 2, j: 2, s: 4, r: 4}.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77706 is divided by 19405.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((10\/(-3))\/(-1))\/((-91)\/(-20202))?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the second derivative of -r**7\/15120 + r**6\/4320 + r**5\/360 - 5*r**4\/12 + 7*r. Let s(c) be the third derivative of q(c). Factor s(l).\nAnswer: -(l - 2)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 + -12. Let x = 15 - v. What is the derivative of -3*t + 8*t - x - 5 + 5 wrt t?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -5 - (-4 + (12 - 6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 14744*p**2 - 14*p + 14*p + 10096*p**2 as l*p + m + z*p**2 and give z.\nAnswer: 24840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1)\/p)**(-32))**(5\/6) assuming p is positive.\nAnswer: p**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19636, 19652, 19668, 19684?\nAnswer: 19700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*n + 77*n - 430. Solve -n*r - 11 = 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.284519 millilitres in litres?\nAnswer: 0.008284519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (5 + (-6 - 26) - -82).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 28*l - 31*l + 76089 = 0, 5*c - 190242 = -l. What are the prime factors of c?\nAnswer: 3, 11, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g**5\/9 - 106*g**4\/9 - 764*g**3\/9 - 1528*g**2\/9 - 1136*g\/9 - 256\/9 = 0. What is g?\nAnswer: -2, -1, -2\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8434 is divided by 30?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + 8*g**2 - g - 4. Let b be l(-8). Let t = 4 - 2. Suppose -t*j + 3*j = b*w + 22, 2*w + 96 = 3*j. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/17 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -1, 12798, -5 in descending order.\nAnswer: 12798, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 - 8*w + 4. Let g be h(8). Let k(b) = b + 2*b + 4*b**2 + 1 - b**3 - 6 - 1. Is k(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0\/9)\/(10\/(-5)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-3*sqrt(972)*6 + sqrt(972) + sqrt(972)))\/(sqrt(120)\/sqrt(5)*4*-3).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 103703314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1, -2\/7, -0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1057 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.1 - -6.1. What is the biggest value in 0.4, -4, p, -1.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 4*x + 2. Let w(h) = 1386*h**2 + 60*h + 30. Calculate 15*n(j) - w(j).\nAnswer: -1401*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 157204530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2633*f**6 - 2*f**2 - 92*f - 2 wrt f?\nAnswer: -315960*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 16) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -713 + 2646. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from evevqus. What is prob of sequence veq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5106*v + 69376 + 267341 = 72939 - 236610 for v.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - (-16 - -19)) + (-11 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 173 - 168. Suppose -3*x = -f - 11, 2*x = 3*f + 2*f + 3. Solve 5*n = o, 5*y = x*n - 13 + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 180552c (base 13) to base 10\nAnswer: 7809021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the third derivative of -s**6\/120 + 19*s**5\/20 + 39*s**4\/8 + 59*s**3\/6 + 1036*s**2. Solve m(g) = 0.\nAnswer: -1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -64 and -1.86.\nAnswer: 119.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 30262014 divided by 44?\nAnswer: 15131007\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -631, 3?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 12311011 (base 4) to base 16\nAnswer: 6d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-32)\/(-72) + 506\/(-693) + 39\/315*3.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*5\/(-45) - 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*h + 3395904 = 82*h - 25*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 186 - 22. What is the remainder when b is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.003 + 0.797. Are -16 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -484, -569, -654, -739, -824?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11 + -8. Let v = -167 + 166.7. Let a = 481\/2 + -245. What is the second biggest value in a, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-45)\/54*(-4)\/10. Let w(y) be the first derivative of k*y**3 + 0*y + 0*y**2 + 2 - 2\/5*y**5 + 0*y**4. Find the third derivative of w(s) wrt s.\nAnswer: -48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - (1 + 2))\/(193 + -192).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 392*r**2 + 3938*r + 182. Give t(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3128 + 3131. Suppose 2\/7*c**v - 4\/7*c**2 + 2\/7*c + 0 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = m - 15, -4*m + 498*j - 499*j + 16 = 0. Solve s + 7 = 4*x - 2*x, m*x = -3*s + 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*a**3 - 18*a**3 + 26*a**3 + (0*a**2 + 0*a**2 - 2*a**2)*(2*a + 0*a - a) + (-2*a**2 + 0 + 0)*(-a + 5*a - 2*a).\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 13\/9 + -2 - -1. Suppose -2*g + 20 = 3*g. Suppose g = 4*t + 8. Is t greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**3\/9 - 3952*m**2\/3 - 980084*m - 5833176.\nAnswer: -4*(m + 6)*(m + 1479)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.216 - -89.784. Let v = -78 + j. Let d = 11.9918 - v. What is d rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2594 is divided by 856.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r**3 - 5*r**3 + 0*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -48 + 73. Suppose -6*l = 82 + 110. Let v = l + 46. What is the remainder when t is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*p - 7*p + 51*p + 8*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.38223 - 0.18223. Which is the nearest to t?  (a) -1  (b) 2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -34*p + 256. Let b be r(7). Let j(s) = -3*s. Let g be j(-1). Solve -g*m - 3*c + b = 0, -3*c + 2 = m - 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5610142 at most as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 21 = d, 6*d - c = 4*d + 49. Suppose d = 5*g - 2*g. Suppose -13893 = g*x + 20507. Round x to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (6 + 2\/(-2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 4. Let w be (-5)\/1*(9 - (-564)\/(-60)). Let z = -7.1 - -2.1. Which is the smallest value?  (a) z  (b) w  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.1516 + 0.1516. Which is the third biggest value?  (a) s  (b) -496  (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 188 + -126. Calculate the remainder when i is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32036070?\nAnswer: 2, 3, 5, 11, 193, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 833392 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -22407\/817 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (4 + 28)) + -5\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 12) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335 is divided by 219.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -0.010967916\nAnswer: -0.032903748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(7) + sqrt(21)\/sqrt(3))**2 - sqrt(77)\/(sqrt(55)\/sqrt(5)) - (2*sqrt(77)\/(sqrt(1331)*2))**2.\nAnswer: 11*sqrt(7) + 4470\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.479991l in millilitres?\nAnswer: 4479.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 10:50 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) be the second derivative of -2*z**3\/3 - 10*z**2 - z. Does 4 divide y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 104562321 + 44?\nAnswer: 104562365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -52 + -1 + -8 + (-26 + 1 - -11)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of j**4\/12 + 3*j**3\/2 - 15*j**2\/2 + 12*j. Let n be d(-8). Let w = 23 + n. Is -1\/2 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 PM and 4:06 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1082 times 339\nAnswer: -366798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1619 + 2550. List the prime factors of o.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*h**3 + 2*h**3 - h**3)*(9 - 9 - 6*h) + 2 - 2 + h**4 + 0*h**4 - h**4 - h**4 in the form v*h + m*h**4 + s*h**3 + a + t*h**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302764*d + 122 = -302770*d - 4*n, 4*d = 4*n + 132 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*y**2 - 627*y**2 - 6*y**3 + 0*y**2.\nAnswer: -6*y**3 - 574*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 482387 is divided by 136.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 247437744 and 1788?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-6) - 1)\/(5\/(-15)). Suppose 2*h + 6050 + 15085 = q*c, 4*h - 12681 = -3*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/15)\/h)**(-15)\/(h\/(h**(-12)\/h)*h*h**(-9)) assuming h is positive.\nAnswer: h**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6753620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -36*b - 281. Calculate the remainder when v(-16) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29 - 174*i**5 - 5*i - 735*i**3 + 108 + 735*i**3 wrt i.\nAnswer: -3480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2157 + -575. What is the highest common factor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 4, d: 6, e: 3}. Give prob of picking 2 d, 1 e, and 1 p.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6697393 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 698.0896 days to milliseconds.\nAnswer: 60314941440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of c**2\/2 + 32*c + 23. Calculate the remainder when 54 is divided by a(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 4*b - 255, -39*r + 36*r = 4*b - 207. Solve -2*x = -3*l - 24, -r*x - 6 = -79*x for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -9*y - 105*y**2 - 37 - 103*y**2 + 209*y**2. Let h be i(12). Which is the nearest to 8?  (a) -6  (b) -0.1  (c) -4  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000030056 to 7 dps.\nAnswer: 0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-7)\/(-2) + (-3)\/6. Suppose 0 = s*m - 6, 3*w + w + 3*m = 202. Suppose -5*n - 3*z + 57 = z, -3*n + 5*z + w = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/2367 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**6 - 2*j**4*q + 17*j**3 + 76*j**2 + 16*j*q wrt j.\nAnswer: 120*j**3 - 48*j*q + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 11:32 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -5*m + 22 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 97 - 59. Calculate the remainder when 146 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -113023551?\nAnswer: 113023550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2804\/10 + (-20)\/50. Let n = 10 - -18. What is the highest common factor of n and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.18  (b) 2\/5  (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 1. Let i(o) = 3*o + 1. Give -4*h(t) + i(t).\nAnswer: 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(80)*-1 + -1)**2 + sqrt(80))*-5 - (-6*(sqrt(80) + sqrt(80) + -2 + 3))**2.\nAnswer: -11961 - 636*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 459 - 455. Let i be 1*27 + 4 + -6. Solve -g*m - i = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8207?\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a**5\/5 + 512*a**4\/5 - 11272*a**3\/5 - 2786048*a**2\/5 - 2016252*a\/5 + 4032758016\/5 = 0 for a.\nAnswer: -81, -64, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*(1 + (-20)\/15). Suppose 6*v - z*v - 7 = k, -4*v - k + 17 = 0. Let o(x) = -4*x + 3*x + 8*x**2 + x**v - 8*x. Determine o(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 346396.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-26)\/(-39) - (-4)\/(-6))\/(-3). Let o(h) = -h**2 - 4*h + 100. Let i be o(8). Solve k = -b + i*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(539) + 0.\nAnswer: 2 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 209635 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 11143091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -153, 259, 1239, 2787, 4903?\nAnswer: 7587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {c: 2, v: 1, b: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 5:13 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 13 = -3*w. Differentiate -w - 1 + 17 + 6*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 457 and 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + n + 2. Let y be s(-1). Solve -4*q = -y*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 488979479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2430 + 41?\nAnswer: -2356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1945007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.2 and -19344195?\nAnswer: 23213034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 89\/3 + -30. Let p = -3 + 2. Let i = 1 + p. What is the closest to i in 2\/13, -2, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.2, -5, -1, -54?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 6449?\nAnswer: -644.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2211333321 (base 4) to base 13.\nAnswer: -1aa633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 7 = 4. Let q(y) = -y**2 + y. Let s(x) = -12*x**2 + 9*x. Suppose 5*j = -0*w + 4*w + 25, 0 = 4*j - 3*w - 21. Determine j*q(c) + m*s(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 3*(3*sqrt(1300)*3 - sqrt(1300) - (sqrt(1300)*-1 + sqrt(1300) + -4)).\nAnswer: 8 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/sqrt(54)*-3.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -444 + 443. Put i, 10, 7 in descending order.\nAnswer: 10, 7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 6, o: 12}. What is prob of picking 3 l?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 12*r. Let d(q) = -22*q**2 + 6*q + 3. Let b(f) = 41*f**2 - 10*f - 5. Let p(k) = -3*b(k) - 5*d(k). Calculate p(v(i)).\nAnswer: -1872*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**3 - 8*c**2 - 21*c - 77. Suppose -10*h - 103 + 33 = 0. Let q be v(h). Solve -4*k + q = 13 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 268*q + 1483 = 7439 + 2888 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 243, 519, 819, 1125, 1419, 1683, 1899, 2049?\nAnswer: 2115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, e: 1, k: 5, h: 5, j: 1, f: 2}. Give prob of picking 1 k and 1 j.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-n + 0*n + 0*n)*(3 + 3 - 5)*(-3 - 19 + 4)*(4 - 2*n**3 - 4) as m*n**2 + s*n + w + f*n**3 + x*n**4 and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14634 + 14634.027. Which is the fifth biggest value?  (a) 0  (b) 0.3  (c) -2  (d) -4  (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the second derivative of r**5\/30 - r**3\/3 + 10*r**2 - 24*r. Let f(a) be the first derivative of z(a). What is f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 42 = 4*c, 2*c + c = 5*t + 142. Let n = 50 - t. Let l = n - 68. Solve -s = s + l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b + 1. Let t(r) = -6*r + 53. Give -4*h(g) - t(g).\nAnswer: 2*g - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkkgkkkkkkkk. Give prob of sequence kgk.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.4 - -4.5. Which is the nearest to q?  (a) 0.2  (b) -1\/5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1722780 by 6.\nAnswer: -287130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 156, 605, 1354, 2403, 3752, 5401, 7350?\n\"Answer: 150*y**2 - y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/2046 + 47828\/1364 + -35\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 6) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w - 2. Let u = -6085 + 6075. Let j = 0 - 2. Let d be j\/(-8)*u*-2. Determine o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 27 - 26. What is the closest to -1 in p, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -3*v - 225, -53 = v + 3*t + 22. Let w = 72 + v. Is (-1889)\/w - (-20)\/(-30) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -379*b - 443 with respect to b.\nAnswer: -379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (277635\/(-10458))\/223*(-1)\/((-30)\/(-4))?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 3 = c, 4*c - 4*l = 13 + 7. Let f(d) = -d**2 + 2 + c*d**2 - 1 - d. Let j be f(1). Solve -8*g + j*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + q + 2098 - 2085 = 0, 5*x + 4*q + 8 = -0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 65 + -52 + 5*958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -126 divided by 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 3 + 1 = 0, -5*w - 98 = -3*b. Let q = w + 37. Let z(k) = k**3 + 41*k**2 - 45*k - 114. What is the smallest common multiple of z(-42) and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmmfmmfmmmf. What is prob of sequence mfmf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6127?\nAnswer: 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1366464807 to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -655 - 153264?\nAnswer: -154252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 29*d + 1. Let r be s(-1). Let z be (-15)\/r + 2\/(-7). Suppose -2*a - 4*m - 4 = 4, -10 = -3*a + 5*m. Is z > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 743 is divided by 150.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1166\/(-870) + (0 - -1). Let w = -6\/29 - v. Which is the biggest value?  (a) 5  (b) w  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-3 - (-80)\/(-12))\/((-1)\/3) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 + 90. Let b = -79 + y. Sort -1, -2, b, -0.4.\nAnswer: b, -2, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z = 0, -2*m + 87*z - 6 = 85*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -o - 8*o + 22*o.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2312 and 57800?\nAnswer: 57800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 200422102 + -1?\nAnswer: 200422101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the second derivative of -o**4\/48 + 5*o**3\/12 + 11*o**2\/8 + 461*o + 1. What is x in u(x) = 0?\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -11  (c) 22\/7  (d) -18  (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*c - 44 - 17 - 25 = 0. Let v(s) = -3*s - 30. Let n(y) = -y. Give c*v(h) - 2*n(h).\nAnswer: -h - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (60\/(-8) - -9)*-2*1\/(-10)*5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9425 divide 5342556343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, x: 5, p: 2, u: 8}. What is prob of picking 2 u?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v = 3997 + 3491. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-4 + -13 + 11 - (44 - 6))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1994659 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 7*h + 4696. Is 44 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 145.9007 micrometers to centimeters.\nAnswer: 0.01459007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4457\/13 + 343. Which is the biggest value?  (a) p  (b) 5\/2  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 5283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 2, 1657 in decreasing order.\nAnswer: 1657, 2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3458*j + 443586 = 1667*j - 2610*j - 5037*j for j.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 30\/(-9 + 4)*-10. Let g be (f\/42)\/(2\/28). Solve 5*b - 30 = z, 5*z - b + 2*b + g = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101020110210 + -11?\nAnswer: -101020110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 5.4. Let g = n - 1.4. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 77*k - 9 + 129*k - 198*k. Calculate n(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and -51734.8396.\nAnswer: -51735.3396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114) - -2*sqrt(114) - sqrt(114))*3*-4*-1)\/((sqrt(4356)*1)\/(sqrt(672)\/sqrt(7)))*2.\nAnswer: 192*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 187858.\nAnswer: 2, 11, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h**3 + 7*h**2 + h + 1. Let i(o) = 2*o - 40. Let y be i(17). Calculate the remainder when 36 is divided by d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -5) + 240\/(-112)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 + 5*m + 2. Let b be s(-4). Let z be 4\/((-2)\/b*2). Let p be -3*(z\/(-6) - -1). Is -3\/4 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -956 divided by 4.\nAnswer: -239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-1))\/(-44) + ((-390)\/(-55) - -2) - -71.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 2003533?\nAnswer: -2003540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -65324 + -5?\nAnswer: -65329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-4\/3)\/(c**(14\/3)*c))\/((c**(17\/3)\/c)\/(c\/((c**9\/c)\/c)*c*c)) assuming c is positive.\nAnswer: c**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -139 - -160. Let n be 1 - (-6 + 2) - 2. What is the greatest common divisor of t and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-8))\/(84\/112)*(-12)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 407756279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the second derivative of 0*r**3 + 0*r**2 + 0 - 10*r - 5\/6*r**4. Let i(z) = -3*z. Determine i(b(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 87 - 225. Let t = -240 - c. Let m = t + 102.71. Round m to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1105043, 2210061, 3315079, 4420097?\n\"Answer: 1105018*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 60 = 10*m. Solve -f - 3 + m = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1130098282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/7 + (-4)\/14. Let y(u) = -f - 1 + 7*u + 4. Let m(q) = -15*q - 2. Let s be 1\/((-6)\/80) + (-2)\/(-6). Determine s*y(a) - 6*m(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 53046645 to the power of 1\/3, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/4*(-1)\/(-11*7\/(-308)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllllllqqq. Give prob of picking 3 q.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 1349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 AM and 4:38 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 15, b: 5}. What is prob of sequence bbg?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -3*n - 115. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 11480 = -29*g. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, -0.05, 0.2, -3, 2\/19 in decreasing order.\nAnswer: 0.2, 2\/19, -0.05, -4\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 267 and 15135607.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwnwnwwrwwmwwhzmwmm. What is prob of picking 2 n and 1 z?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2758*-1.\nAnswer: -2758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, -1\/2928, 0.4, -0.3 in ascending order.\nAnswer: -2\/5, -0.3, -1\/2928, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 73074, 292235, 657502, 1168875, 1826354, 2629939, 3579630?\nAnswer: 4675427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2588 + -269. What are the prime factors of h?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1297747 - 15*n**3 - 1297747.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16019?\nAnswer: 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -1 + 8*y**2 - 2 + 2 + 2. What is the units digit of h(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 2\/19  (c) 0  (d) 9\/7  (e) -272\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/5 + 76216*y\/5 + 726109832\/5.\nAnswer: 2*(y + 19054)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*x - 25*x + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -109 - -112. Solve -2*s - 10 = -4*b, 0 = -3*s + f*b - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 243 and 567.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -31 - 59. Let z = 49 - r. Suppose -9 - 3 = z*l. Which is the nearest to 1?  (a) -1  (b) -2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00016614035 rounded to five dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20220210 - 21211?\nAnswer: -21012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(5\/3)*q)**(-23) assuming q is positive.\nAnswer: q**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 4 - 92 = 0. Put -2, 5, r in ascending order.\nAnswer: -2, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1487943051 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from kcckkkcccc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28 - m**3 + m**3 - 66 - 2*m**3 + 26.\nAnswer: -2*m**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.7 - 4. Let k = -0.053 + -0.287. Let q = 0.44 + k. Sort -0.7, y, q.\nAnswer: -0.7, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/8*2)\/((-737631)\/15992).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 64629781113597 and 14?\nAnswer: 64629781113583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2147 at least as big as 2149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19802 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/24*-6*-1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*l + 5*l = -44 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 15 = -2*m - 2*j + 88, 13*m - 10*m - 8*j = -487 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 2 = 5*l. Let m be -1*7\/(-2)*l. Is m not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -638230, -1276442, -1914664, -2552902, -3191162, -3829450, -4467772?\nAnswer: -5106134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -26, -14, 12, 58, 130, 234, 376?\n\"Answer: g**3 + g**2 + 2*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/7*693\/396.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -71 (base 8) to base 3\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.05 and -125525.\nAnswer: -6276.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.9 - 8747599893.\nAnswer: -8747599891.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8*(0 - 3\/(-6)). Factor 3*y + 4 - 4*y**2 - j - 2*y**2 - 3*y**5 + 6*y**4.\nAnswer: -3*y*(y - 1)**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 28*u**2 - 3*u - 8. List the prime factors of o(5).\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66262.65 tonnes in milligrams?\nAnswer: 66262650000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 6*h - 5. Let w be v(-2). Which is greater: -18 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*d + 3*d - 6*d)*(25 + 10 + 12) to the form t*d + s and give t.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 434 by -14.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/((-36)\/(-8)))\/(2\/6). Solve r = 2*j - 0*j, o - 4*j = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w + 3*w + 3*w)*(1 - 3 + 0)*(2 - 10 + 1).\nAnswer: 42*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 2\/21  (b) 0.019  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2. Let b(p) = -3*p**2. Suppose 3*i - 2*i = -5. Let o(x) = 2*x**2. Let f(v) = i*o(v) - 4*b(v). Give z(f(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 8:07 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -308, -606, -890, -1154, -1392?\nAnswer: -1598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 442305 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in nineteen quarters of a hour?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 2*u, -12*u = -16*u + 6*o + 30 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 2\/17  (b) -11  (c) 158  (d) -68  (e) -2  (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -313*f*g**2*z**3 - 2*f*g**2*z + 38*f*g*z**2 - 9*g**2 + 3*g*z**3 wrt z?\nAnswer: -1878*f*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 486 (base 10) in base 4?\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + 14 + -3 + 1 + -4 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2646 = -b - 17*b. What are the prime factors of (-2)\/((-8)\/198) - b\/(-98)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/14 in -1, -4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2120 - 50413?\nAnswer: -44253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 56095237?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.0638?  (a) 26  (b) 2\/9  (c) -3  (d) 0.9  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.6 - -0.6011. Round n to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -48 + 65. Calculate the remainder when w is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 58481, 124555, 190629, 256703, 322777?\n\"Answer: 66074*i - 7593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**2\/9 + 1071544*f\/9 - 119060.\nAnswer: -4*(f - 267885)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-23))\/(49\/(-161))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 + 7*t - 9. Let h be k(4). Let l(u) = -u - 7. Let b be l(-10). Solve -3*f - 3*n = 0, -h*f + b*n - 8 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 14*b + 0 + 1\/36*b**4 + 2\/3*b**2 - 5\/18*b**3. Factor s(i).\nAnswer: (i - 4)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11011\/63 - (-2)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 128 - 135. Is o < -78\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q - 7766*q**2 - 3*q - 7806*q**2 - 7161*q**2 + 23304*q**2.\nAnswer: 571*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = 2*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1890018, 1890020, 1890024, 1890030, 1890038, 1890048?\n\"Answer: h**2 - h + 1890018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3451888379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 211263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6 (base 10) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(-10\/9)\/y)\/y**7)**(-18))**21 assuming y is positive.\nAnswer: y**3444","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 25 = 0, -g - 3*h = -42 - 23. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (13 - (1 - (-1 - -4) - -12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m**(8\/5)\/m*m**(3\/13))\/(m**(-12)\/m**4))**1 assuming m is positive.\nAnswer: m**(1224\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -40, -59, -82, -109?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2\/9, 4, -2\/15 in decreasing order.\nAnswer: 4, 2\/9, -2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -7*d + 8. Determine s(9).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d - 1. Let m(s) be the first derivative of -s**2\/2 - 4*s + 2. Let u(t) = 4*j(t) - m(t). Let k(w) = 3*w**2. Determine k(u(p)).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*v**3 - 820*v**2 + 4705*v + 5530.\nAnswer: 5*(v - 158)*(v - 7)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 9. Let a = 5 - -5. Suppose 0 = -2*h + h + a. What is the lowest common multiple of h and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (0 + (2 + -2 - 2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes after 9:11 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y**2 + 6*y. Let h(z) = z + 5. Let f(i) = 2*i + 11 - i + 3 - 7. Let r(l) = -5*f(l) + 7*h(l). What is p(r(v))?\nAnswer: 8*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -119070502, -119070499, -119070496?\n\"Answer: 3*c - 119070505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -5*v + 3. Let d(r) = r**3 + 4*r**2 - 6*r + 5. Let j(m) = -2*m**3 - 8*m**2 + 11*m - 9. Let b(l) = 11*d(l) + 6*j(l). Let k be b(-3). Is o(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 239956 is divided by 2151.\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 523 + -522.99999124. Round d to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 125, 246, 367, 488?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*m - 38*m - 22 = 0. Suppose -m*y + 152 = -7*y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*j + 5000 = 4*h + 16*j, -h + 1244 = j. Calculate the smallest common multiple of 208 and h.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of -v**6\/60 - v**5\/60 + v**4\/24 - v**3\/2 - 50*v**2 + 4. What is u(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 108 = 3*u. Let i be (u\/(-27))\/((-4)\/(-6)). Let t be ((-153)\/(-36))\/(i\/(-32)). Calculate the highest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -340.428 * 0.1\nAnswer: -34.0428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.0715967t to micrograms.\nAnswer: 71596700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102123 - -1301123?\nAnswer: 1133000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 - 11*j + 10. Let h be y(12). Let b be (-2 + h\/(-1))*(-24)\/32. What is the greatest common factor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -539\/10 - -109\/2. Which is bigger: -1.2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53 - 45. Find the first derivative of 111*t**2 - 130*t**2 - z - 1 wrt t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o + 14. Let i be u(6). Let v be (46\/4)\/(10\/i). Let g = 68\/3 - v. Is 1\/3 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = -5*c + 28, -80*g + 5*c - 12 = -82*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llbblty. Give prob of sequence ltyb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 2207, 4394, 6581, 8768, 10955?\n\"Answer: 2187*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12.1 - 9. Let t = 0.1 - b. What is the nearest to -0.1 in t, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 15*y**2 - 131*y - 378. Give w(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5708 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 524*f**2 + f + 296?\nAnswer: 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -10. Let z be y*3\/(-6) + 3. Let o be (z + (-2)\/3)*-3. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 7 = 3*i, -38*i + 3*x = -33*i - 5. Sort -2, 8, i in ascending order.\nAnswer: -2, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -39\/2 - -20. Which is the nearest to 2?  (a) -4  (b) r  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*i**3 + 6*i**3 + 35*i**3 - 16*i**3.\nAnswer: 38*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:58 AM and 11:07 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -66 - -84. What is the lowest common multiple of 2 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 152.99 + -151. Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 48.31298 micrograms?\nAnswer: 0.04831298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (2 - (-3 + 3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/1157 or 1?\nAnswer: -6\/1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n**2. Let k(t) be the third derivative of 0*t + 0*t**3 + 0*t**4 + 0 + 23*t**2 + 13\/60*t**5. Calculate k(c(w)).\nAnswer: 52*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 248864 divided by 8.\nAnswer: 31108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 115696.2 litres in millilitres?\nAnswer: 115696200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**5\/5 - 36*z**4 - 696*z**3 + 5072*z**2 - 10752*z + 36864\/5.\nAnswer: -2*(z - 2)**3*(z + 48)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 3*q**2)*((4*q + q - 2*q)*(-2*q + 3 - 3) + 2*q**2 + 4*q - 4*q + (-3*q + 2*q - q)*(376 + 25*q - 376)).\nAnswer: 162*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -12.6. Let z = -264 + 5014\/19. Which is the second smallest value?  (a) 4\/7  (b) u  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j + 15. Let y be u(5). Solve -5*s + 4*x = x - y, 4*x - 20 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 1:58 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 56790733, 56790736, 56790741, 56790748, 56790757?\n\"Answer: r**2 + 56790732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11169 - -11899. Calculate the greatest common factor of c and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/(-390))\/((-4)\/40). Let i = 11706\/13 - 900. Solve 4\/13 - c*l**2 + i*l = 0 for l.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -32 - 63 - h - 27 in the form t + s*h and give t.\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2685 - 29532\/11. Sort 8, i, 5, -2.\nAnswer: -2, i, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of g**2 - 13*g + 31. Calculate s(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 3*r + 19. Let n be a(-26). Let x be (21 + n)*(0 - 1). Which is bigger: x or 36?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203*z + 160056 = -185*z. What are the prime factors of z?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7974 + 13386. Is c a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/3 of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 262308 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 455.0439 hours?\nAnswer: 27302.634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -1\/6  (b) -4  (c) 0.1  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 - 2 - 7)*(51*u - 36*u**3 - 51*u)*((-3 - 3 + 5)*(-3*u - 2*u**2 + 3*u) - 343*u + 343*u - 11*u**2).\nAnswer: -7452*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of 213*v**5\/5 + 3*v**4\/2 + 2*v**3\/3 + 6433*v - 2111. Find the first derivative of d(o) wrt o.\nAnswer: 852*o**3 + 18*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l + 1. Let t(a) = 8*a - 2. What is -3*s(p) - t(p)?\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 5*o = 33, 0 = -15*o + 20*o + 15. Let q = 1 - 2. Put p, q, -2 in descending order.\nAnswer: q, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 26724365?\nAnswer: 26724372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3243 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/4*(-1)\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(216) + sqrt(216)*2 + sqrt(6))*-1.\nAnswer: -sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*p**2 - 2*p**2 - 9*p**2 - 10*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-10))\/(w\/(w\/(((w*w\/((w*w\/w**8)\/w))\/w)\/w))))**(-1\/29) assuming w is positive.\nAnswer: w**(16\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5\/284 - -623\/3124. Let n = 5 - 8. Let c = 4 + n. What is the second biggest value in b, c, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*x - 2*x. Let t(y) = y**3 - 2*y**2 + 5*y + 4. Let n be t(0). Solve s + x - n = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 0. Suppose -w + n + 1 = -j*n, 0 = -5*n. Let f(o) = o**2 - 7*o + 1. Let r be f(6). Put r, 5, w in decreasing order.\nAnswer: 5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 14*r**2 - 15*r - 19. Suppose 29 = -3*k - 4*d, k = -0*k - 5*d + 5. Calculate q(k).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-49)*(4 + -3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of -6*y - 5\/6*y**3 + 0*y**4 + 0*y**5 + 0 - 2\/15*y**6 + 0*y**2. What is the second derivative of m(g) wrt g?\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -715 - 3aa5?\nAnswer: -470a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 624*k - 3827. Does 5 divide z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-77)\/22)\/((-49)\/42). Let p(s) be the first derivative of -14\/5*s**5 + 0*s - 5*s**2 + 0*s**a + 0*s**4 + 13. Find the second derivative of p(d) wrt d.\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 68\/18 + 10\/45. Suppose 2*y - 26 = -2*i, -y - m*y = -2*i + 26. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145863372 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 6, -1\/4, 58799, -2?\nAnswer: 58799","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-10)*(-26)\/(1456\/(-196))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - 4*d**2 + 1416563*d + 5666250. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(14\/5)*j)\/(j**(-3)\/j))\/(j**1*j)**(-3\/23) assuming j is positive.\nAnswer: j**(1042\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**4 - 21000*y**3 + 105090*y**2 - 147160*y + 63075 = 0.\nAnswer: -4205, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from kdbbikvukvbvivkkikbk.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 12:48 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**4 + 2*g**2 - 2*g**2 + (-2 + 2 - g**2)*(4 - 6 - 2)*(g**2 + 2*g**2 - g**2).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a + 2. Let t = 3 + 0. Suppose 0*z = -t*z. Let s(o) = -9 - 4*o + z*o - 5*o - o**2. Give 2*s(n) + 9*y(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 6 + -25 + 14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -125 + 145. Suppose 4*u = -u + 640. Let i = -69 + u. What is the remainder when i is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1042357394.\nAnswer: 2, 13, 40090669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36464 - 1996 + 6083 = -2050*x - 10699 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18762*c**2 - 1 + 16892*c**2 + 1 + 1874*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**2 - 3*c - 5*c**2 - 23 + 3*c**2.\nAnswer: -2*c**2 - 3*c - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1523 - 1518. Solve 3*j = -5*r - 0*r + 11, z*r - 7 = -j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 3*d - 36, -u - 3*d - 31 + 43 = 0. Sort -7, u, 4\/9, -0.2 in decreasing order.\nAnswer: u, 4\/9, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 14369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/9 + 3289*o**2\/9 - 1907824*o\/9 + 34199104.\nAnswer: -(o - 2601)*(o - 344)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -9, -4, 2, 4 in decreasing order.\nAnswer: 4, 2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*h, 3*l + h = 60 - 58. Which is the closest to 1\/28?  (a) 5  (b) l  (c) -1\/3  (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -269155.93 and 22.\nAnswer: -269133.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 + 3 - 3)*(-3*q + 5*q - 3*q) + (-3*q**2 + 3*q**2 - 2*q**4)*(0 - 1 - 1).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 181\/26640 and 46\/5439.\nAnswer: 1305360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*u**2 + u**2 - 2*u**2 + 1 + (2*u - 3*u + 0*u)*(-u - u + u).\nAnswer: 6*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3989787 is divided by 1076?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-4 + (sqrt(50) - sqrt(200)\/sqrt(4)) - (sqrt(450)\/(sqrt(18)\/sqrt(2)) - sqrt(50)))*-1 + 0)**2*1.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 167808 divided by 1?\nAnswer: 167808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3353\/115 + -666\/23. Let l(i) be the first derivative of p*i**5 + 3\/4*i**4 + i**3 - 5 + 0*i + 1\/2*i**2. Factor l(b).\nAnswer: b*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 6:35 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2484*s = -2532*s + 192. Solve -5*b - 19 = -3*n, 5*n = -s*b + 10*n - 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17478*x + 427*x**2 - 17478*x + (-3*x**2 - 4*x + 4*x)*(2 + 0 - 4) as y*x**2 + h*x + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (144\/225)\/((56\/(-35))\/(-4)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 20.66115 to two dps.\nAnswer: 20.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7, g: 3}. What is prob of sequence xgg?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 12\/(-1) - (160 - 172). Let m(o) = -o**3 - o**2 - 2*o - 24. Calculate m(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/3*(-4 - -1). Suppose -x + 0 = -o. Let g(k) = k - x*k - 4*k. Calculate g(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*w + 151 - 95 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 23391*i**2 - 18*i - 163. Is h(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2*l = 10, -2*l + 13 = 3*f + 5. Let u(s) = -s**2 + 2*s**f + 0*s**2. Let g(w) = -3*w. Give g(u(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -556*n = -562*n + 2556. Is 71 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2*x + 3*n = 16, 0 = x + 5*n - 5. Does -5 = x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2148, 4296, 6444, 8592, 10740, 12888?\nAnswer: 15036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**4 - 16*h**4 + 2*h**4 + (-9*h**3 + 2*h**3 - 2*h**3)*(2*h + h - h) to p*h**2 + f*h + b*h**4 + c*h**3 + g and give b.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2 = 4*k. Find the third derivative of -k*u**6 + 3*u**2 + 3*u**2 + 3*u**6 + 2*u**6 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(57\/(-133)*7)*(12\/5)\/4\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 208 + -1874\/9. Put -2\/5, 1, -0.3, d in decreasing order.\nAnswer: 1, d, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 250607 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and 86869?\nAnswer: 17373.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 83 + -81. Solve 3*f = l*a + 3, -2 = f - 2*a - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wbwbbbwwbwbwb. Give prob of picking 2 w.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*u - 53*u + 6463 = 270*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -26*r**2 - 4*r + 2. Let o = -6128 - -6124. Let j(c) = 25*c**2 + 3*c - 1. Give o*j(f) - 3*y(f).\nAnswer: -22*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.33629483 rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.77718km in micrometers?\nAnswer: 39777180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**2 + 166*r - 5729. Let j be w(49). Put 43, j, 14 in ascending order.\nAnswer: j, 14, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 253 and 10.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 695*m**2 + 81*m - 240. Is g(3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p. Suppose 3*r + 6 = -0. Let s be (-2 - r) + (0 - -3). Let c(a) = s*a - 3*a + 23*a**2 - 27*a**2. Give k(c(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 5*q**2. Let t(l) be the first derivative of -16*l**2 - l - 112. Calculate r(t(n)).\nAnswer: 5120*n**2 + 320*n + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -10*x**3 + 240*x**2 + 3*x - 68. Let l be g(24). What is the greatest common divisor of l and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-5)\/((g**(-7)\/g)\/g)*g**(-2)*g*g\/(g**2\/g)*g*g)**(-27) assuming g is positive.\nAnswer: g**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 8622300 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:25 AM and 2:36 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*5*176\/220?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12485820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54508 + 29492 = -3744*k + 1119*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0\/(2 + -1) - 15. Let b = h + 39. What is the greatest common factor of b and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53.004 - 53. Let c = 0.004 - v. Sort -2, -0.2, c in descending order.\nAnswer: c, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4080*n**3 + 3 + 12245*n**3 - 4084*n**3 - 3 - 4080*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 102 and 654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 2875 + 7*s - s + 0*s.\nAnswer: 6*s - 2854","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1443*q - 195*q - 117407 - 87868 = 2387*q for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 923, 2\/21667, -2\/7?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 + -25.8. Let g = 0.7 - t. Let k = 994\/221 - 60\/13. Which is the smallest value?  (a) k  (b) 4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1154*o**2*z**3 + 1734*z**3 wrt o.\nAnswer: 2308*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/5, 9\/7, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n**3 + 138*n**2 + 61*n + 5590. Determine b(70).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 8. What is the third smallest value in 0.3, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qddq when four letters picked without replacement from ddddddqddqqddddddd?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*y - 16*y - 5*y + 22*y + 248.\nAnswer: -8*y + 248","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22160*v**2 - 2691*v + 2.\nAnswer: -44320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u**3 + 9*u - 15. Suppose 17 = 5*y - 3. Let h(x) = 5*x**3 - x**2 + 18*x - 31. Let w(g) = y*h(g) - 9*q(g). Is 17 a factor of w(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 m when three letters picked without replacement from vakavavamk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -7  (b) 0.3  (c) -10  (d) 5  (e) 16\/3  (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = r + 3. Let z be p(0). Let m = 48 - z. Let j = 66 - m. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3096 - 2016. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.044387 decades in months?\nAnswer: 1085.32644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xgoxoxxngoxxox. Give prob of sequence gnxg.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*u - 3*u - 3*u + (4*u - u - u)*(-3 + 1 + 4) - u - 4*u + 6*u + 8*u - 2*u + 6*u)*(-6*u + 0*u + 24*u).\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 640*z - 637*z = -444, 0 = 2*h - z - 298. What is the least common multiple of h and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 15) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 784409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -74 + 96. Does 46 divide (-162 - j)*(-2)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -299 divided by 8?\nAnswer: -299\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*d = -16*d + 72. Let t = 62 + d. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 3*x**2 - 2*x - 4. Let o be v(-3). What are the prime factors of (-660)\/15*o\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -18*o**5 + 2*o**2 - 2*o + 8 wrt o?\nAnswer: -360*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j. Let f be 2\/6*-3 + 89 + 3. Let i(x) = -56*x + 77*x + f*x. Calculate i(d(m)).\nAnswer: -112*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -184, -5, -1, -18.\nAnswer: -184, -18, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -43304980 - -43304987.0000066. Let i = w - 7. What is i rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3759 = -3*m - 3*x, -x = -0 - 2. Let c = m + 4941\/4. Find the common denominator of c and 12 + (-11)\/924*741.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 11 = p, 5*p = q - 2*q + 29. Let l be (-1)\/(-4)*56\/49. Which is the biggest value?  (a) q  (b) l  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 165417 and 2112.\nAnswer: 116453568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = -31*r, -190*r + 7 = 5*c - 188*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1902 and 0.2?\nAnswer: 1902.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, 8, 38, 807?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 353 + -495. Let b = r - -145. Suppose 2*d = -2 + 6. Solve -5*h + 14 = -d*f, 0*h = b*h - 2*f - 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -613c (base 14) in base 12?\nAnswer: -980a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 335*g - 333*g - 4*f + 26, -3*f - 8 = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -3. Let b = 173.899 - -0.101. Let f = b - 174.5. What is the closest to 0.3 in 1, c, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6a570 (base 12) to base 16.\nAnswer: 22ca4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 - -11003?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -509, -2077, -4691, -8351, -13057, -18809?\nAnswer: -25607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26752 and -4.82?\nAnswer: 128944.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30874.413 - 31057.5. Let r = n - -183. Round r to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3331654283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**4\/11 + 1346*x**3\/11 - 5430*x**2\/11 - 9458*x\/11 + 13540\/11 = 0. Calculate x.\nAnswer: -677, -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2349579 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-2)\/(-8))\/((3\/2238)\/(11 + -7)) is divided by 84?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**5 - 24*j**4 - 321*j**3 - 942*j**2 - 1032*j - 384 = 0.\nAnswer: -4, -2, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -12*y - 8. What is the nearest to -0.1 in y, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 17944758*c**3 + 1010*c**2 - c + 42?\nAnswer: 107668548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4*j**3 + 3. Let o(v) = 9*v**3 - 7. Let m(k) = -7*c(k) - 3*o(k). Let d(i) = -7*i**3. What is d(a) + 4*m(a)?\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.04 + 2.04. Let u = 4 - g. Let d = 1.5 - u. Which is the closest to 1?  (a) -0.1  (b) -3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*v**4 + 793*v**3 + 6*v**2 + 4*v - 1868704 wrt v.\nAnswer: -8*v**3 + 2379*v**2 + 12*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5\/6, 2\/7, -6\/875?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33913144 and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1833 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - -1. Let c(f) = 5*f**2 + 5*f - 3 - 3 + j + f**3 - 3. What is c(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = k - 3*k - 18, 2*j - 1329*k + 1326*k = 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 - 3. Let j(w) = -w**3 - 10*w**2 + 6*w + 14. Let a be j(-11). Let x = 77 - a. What is the remainder when g is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42.9 - -42.9. Which is smaller: w or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1070 = -684*f + 674*f. Calculate the remainder when 1067 is divided by f.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1758788\/10)\/((-60)\/400). Let r = l + 70607741\/60. Let q = r + -4272. Calculate the common denominator of q and 69\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, o: 3, m: 7}. Give prob of picking 1 m, 1 o, and 1 t.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8*(-2)\/((-2640)\/(-486)) - -3. Is 1 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 8 = -r, 4*r = 239*u - 244*u - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6599046.85597 - -56.85597. Let w = -6598990.7200059 - v. Let y = w - -0.72. What is y rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3*k + 3 + 2*k)*(0 + 2 - 8)*(2 - 4 + 1).\nAnswer: -6*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = -6*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-64 + 14 + (-4 - -8) + 7).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1 + sqrt(99) - sqrt(99)) + ((sqrt(99) + 2 + sqrt(99))**2*-4 - sqrt(99)) + -5.\nAnswer: -1604 - 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.842 - -0.158. Which is greater: t or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/54)\/((-3)\/18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fkkky. Give prob of sequence fky.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6\/11  (b) -1\/3  (c) -1  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-9) + 5\/3. Let l be 3 + (2\/2 - k). Let v = l - 2. Is 1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-19833)\/(-21) - 1\/((-21)\/12)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-71 + -23 - 4) + (22 - 1)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y**2 - y + 1. Let t be a(1). Suppose 4*w = -3*h + 15, -3*h = t*w - 3*w - 30. What is the remainder when 26 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10122131111 (base 4) to base 9.\nAnswer: 2153028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12868356 divided by 6.\nAnswer: 2144726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/16*((-168)\/36*-2 - 10).\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 3*l - 4. Let w be v(-4). Let u = w + 17. What is the highest common divisor of u and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 - ((-45 - -32) + -22).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - p - y = -108, 4*p - 4*y - 128 = 0. Calculate the greatest common factor of 28 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 91 divide 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31822968 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 31 + -24. Let x be z\/(21\/6) - -10. Let v be 6\/(-15)*(-15)\/x. Put -9, v, 1\/3 in decreasing order.\nAnswer: v, 1\/3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.101 smaller than -6\/279997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -13)*(-1)\/(-2) + 2429 + -2441?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34940.92 hours in minutes?\nAnswer: 2096455.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 - 185\/(-2))*(-14976)\/(-336). Suppose 31*t - i = 748. Suppose 4*k = 3*f + 164, -6*f = -2*k - f + 82. Calculate the remainder when t is divided by k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -11.4  (b) -11  (c) 19  (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -37 + 35. Let j be 2 - (1 + 0) - 5. Which is the smallest value?  (a) j  (b) -3\/7  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 19*l + 23. Let g(b) = b - 5. Let n be g(-13). Let k be o(n). Suppose -2*p + 2 = -p. Solve k*m + 5 = -5*d, -11 = p*m - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10496 + -5726. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10)\/6 - (-4)\/(-12). Let s = -18 - -13. Let t = y - s. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 3*j**5\/2 - 142503*j**4\/2 + 356229*j**3 - 427464*j**2 = 0.\nAnswer: 0, 2, 3, 47496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 11755313 to the power of 1\/2, to the nearest integer?\nAnswer: 3429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, l: 2, k: 2, v: 1, e: 1}. What is prob of sequence lv?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29891 - 4*k**2 - 29891.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 8*i**2 - 8*i + 9. Suppose 3 = 4*d - 5*v + 7, -3*d - 2*v + 20 = 0. What is the hundreds digit of u(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-232))\/(18\/339) - (-1)\/2. Is -1 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/40 - (-102)\/408.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 14. Let o be 1*21\/(-28)*-28. Suppose 0 = -3*b - 2*m + w, b - 5*m - o = -2*m. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(26) + 1*sqrt(26)*-5)\/(-2*sqrt(18)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 95 + -88. Suppose -l - 3*d + 20 = -c*d, 0 = 4*l + 5*d + 4. Solve 0 = 2*p + p - l*t - 15, -2*p + 3*t + 10 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-146)\/(-1971) - (-1047)\/81?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2232 (base 5) in base 11?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(720) + ((5 + sqrt(720) + 1 + sqrt(720))**2 - sqrt(720)) - -2*sqrt(720)*-2*2.\nAnswer: 192*sqrt(5) + 2915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*2*(3 - 2). Let s(r) = -r. Let b be s(p). Let a(n) = -2*n**2 - 2*n - 2. Calculate a(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 234926 (base 13) in base 10?\nAnswer: 838610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vjtk when four letters picked without replacement from {v: 2, j: 1, t: 2, c: 1, k: 1, x: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d + 2*d + 2*d)*(9 + 7*d - 9) + 2*d**2 + 0*d + 0*d + d**2 + 2*d**2 - d**2 + (-3*d + d + d)*(-3*d + 4 - 4) as f + y*d**2 + h*d and give y.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -0.2  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -17\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 221717?\nAnswer: 221717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -7*g - 13. Let c be v(-5). Suppose c*r = 7*r + 375. Solve -5*m + 0*m = -r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1462361*k - 1859634.\nAnswer: -1462361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - j - 5*g = 0, -3*j + 5*g = -8. Let n = 23 + j. Suppose -21*m + n*m + 166 = 0. List the prime factors of m.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/5))**(-24)*(d\/((d*d*d**(-9))\/d))\/(d*d**(-8))*d**(-4)*d\/(d**(-2\/7)*d*d)*(d*d**(-1))\/d**(1\/8) assuming d is positive.\nAnswer: d**(1781\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(325) + sqrt(13) - sqrt(13))**2 + (2 + sqrt(468) - sqrt(468)) - (3*(sqrt(143)*2 + sqrt(143)))\/(5*(sqrt(11) + sqrt(275))).\nAnswer: -3*sqrt(13)\/10 + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 7*w**2 + w. Determine m(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 1131 - 1091 = 0. What is the remainder when 119 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-15)*20790\/(-14553)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t + 7504*t**3 - 7391*t**3 - 3*t.\nAnswer: 113*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -65205, -130203, -195185, -260151, -325101, -390035?\nAnswer: -454953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a millimeter in nanometers?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/9, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 10\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/18 and 149\/510.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.79 + -0.7. Suppose u - 7 = -2*k, 2*u = -3*k + 19 - 9. What is the second biggest value in 4, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1035, -2056, -3075, -4092?\n\"Answer: i**2 - 1024*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.4, -4, 0.22 in ascending order.\nAnswer: -4, 0.22, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(189\/(-10))*25\/((-2250)\/(-324))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -264 by 29.\nAnswer: -264\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1736a50 + -5?\nAnswer: -1736a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -2*p - 36. Suppose -p*t = -4*h + 62, -h + 27 = 4*t + t. What is the highest common factor of h and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*v = 2*v + 20. Suppose 4*a = -0*a - v. Put 0, 4, a in ascending order.\nAnswer: a, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -18114*w + 2856. Let d(b) = 6038*b - 958. Let s(p) = -14*d(p) - 5*t(p). Differentiate s(o) with respect to o.\nAnswer: 6038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2725 + 4072. Suppose 428 = y - 2*p, 3*p + l = 4*y - 355. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1207 divide 11958277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20005884 or 20005885?\nAnswer: 20005885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.3, -66, -0.1 in decreasing order.\nAnswer: 0.3, -0.1, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 157973483 to the nearest integer?\nAnswer: 12569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -119 - -161. Suppose 0 = -n*k + 48*k - 12762. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 2*f + 3. Let p be l(0). Suppose 25 = p*v - 5*d, -3*v + 2*d + d + 15 = 0. Solve -o - 2*z - 10 = -4*o, v = -4*z - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**2 + 3*u**2 - 3*u**2)*(0 + u + 0)*(-5*u + 4 - 4).\nAnswer: -10*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 496675 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + -2. Suppose t = -2*s - 2*s + 6960. Let n = s - 19126\/11. What is the common denominator of n and 1\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e3 (base 15) to base 5.\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-5 - 0) + 8 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -33\/35121842 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 866?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.28 - -0.22. Let a = 3.5 - y. Let u = 0.1 - 0.2. What is the third smallest value in -0.3, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 p, and 2 t when four letters picked without replacement from {p: 1, t: 3, r: 3, y: 2, c: 3, f: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-13)\/2)\/(3\/6). Let w = 8 + t. Let m(z) = -2*z - 4. Let n be m(w). Calculate the greatest common divisor of n and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -96117946267\/2160 - -44499047. Let s = -1\/432 + h. Which is bigger: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000732785 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18974512 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8\/7, 1\/43, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.138511 times -5.12?\nAnswer: -0.70917632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -256, 32, -749.7 in descending order.\nAnswer: 32, -256, -749.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 8 = 5*z. Let w = 1.91 + -2.1. Let r = w - -0.09. Which is bigger: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7.82*4.\nAnswer: 31.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (1 + sqrt(252) + sqrt(252) - sqrt(252) - sqrt(252))*-3)**2 - ((((-2 + sqrt(252))*2 - sqrt(252) - sqrt(252))**2 - sqrt(252)) + 2).\nAnswer: 6*sqrt(7) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 24 = -i - 4*p, -2*p - 6 = -4*i. Let b(w) = w - 1. Let l be b(i). What is the tens digit of 49 + 1 + l + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -151050, -151086, -151202, -151440, -151842, -152450?\nAnswer: -153306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 5*b = -17, 82*b + 527 = 2*f + 125 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1233 - -1230. Sort 1, q, 8, 2.\nAnswer: q, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 2*(-28)\/(-8) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.90245 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 + k + 1. Let m(d) = -101*d**2 + 4*d - 15. Let s(l) = 4*f(l) - m(l). What is the derivative of s(r) wrt r?\nAnswer: 186*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/(27\/282))\/((-2)\/12). Suppose 5*h - t = -168. Suppose 0 = -5*b + h*q + 12889, -2*b - 2*q + 5155 = -3*q. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 != 394\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 + 95 = 4*g + t, -3*g = -3*t - 135. Suppose -2*d = -2*p - 2*p + 34, 35 = 5*p - 4*d. Calculate the highest common divisor of p and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 15 = -2*f - 8, 0 = 2*f + 5*l - 27. Suppose -p = -2 - f. Find the third derivative of 3*i**p + 2*i**4 + i**2 - 3*i**3 wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 3412*b + 12814*b + 6593*b + b**3 to the form j*b + g*b**2 + p + o*b**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from zfcssc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*r - 11*r = 60. Solve 2*g - 30 = 6*k - k, -5*k - r*g = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 377765*d. Let u(h) = h + 2. What is u(l(y))?\nAnswer: 377765*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -363576, -363578, -363598, -363642, -363716?\nAnswer: -363826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -3.38 != 1.52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**2\/4 + 1135*s + 4539\/4 = 0 for s.\nAnswer: -4539, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 672 and 623954184?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 117 is divided by (-59 - -50)*(1 + 8\/(-3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -36*d - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70603?\nAnswer: 13, 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150 is divided by 123.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*n + 6*n**4 - 7*n**4 - 18*n + 1 + 13*n + 2*n**3 - 2*n**2 - 27*n as y + p*n**2 + u*n + g*n**4 + h*n**3 and give u.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -146698400 to the nearest one million.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the second derivative of n**3\/3 - 5*n**2\/2 + 423*n. Determine h(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 512106.\nAnswer: 2, 3, 7, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 13*i + 35 + 20*i**2 - 33 - 19*i**2. Calculate x(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (34\/(-119))\/((-40)\/(-42))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r**2 - 9*r + 18. Let i be s(12). Suppose 4*d - 2*d = i. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 7 - 5*(-16)\/(-20). Solve 7 = -2*k - g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2581, -5138, -7673, -10186, -12677, -15146, -17593?\nAnswer: -20018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 9*m**3 - 15*m**2 - 31*m + 4. Let c be f(3). Solve d - c = 5*j, -13*j - 8 = -10*j - 4*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1681 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = l + 1196. Let f = l + 2591. Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 12, n: 3}. Give prob of sequence nnvv.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h. Let w(z) = -z**3 + 14*z**2 + 17*z - 20. Let a be w(15). Let q(i) = -i + a*i + 10*i. Calculate y(q(x)).\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (488 + 1)*330\/(-198). Let r = l + 830. Suppose -x + 9 = -5*k - 4, -2*x = 4*k + 2. What is the highest common factor of r and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -609*o**4 + 2*o**3 + 45*o - 19.\nAnswer: -7308*o**2 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -9, 37240, 5 in decreasing order.\nAnswer: 37240, 5, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/((-4)\/9))\/(15\/(-20)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 589270.\nAnswer: 2, 5, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 482\/10 - (-10)\/(-50). Suppose -3*n + 61 = -4*k, -3*n + p = n + 3*k. What are the prime factors of (5\/n)\/(1\/372)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -51.496334 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3109288 a multiple of 802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/13, 1.29, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9\/36 + ((-6035)\/(-4))\/1?\nAnswer: 3, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/9460 and 79\/12650.\nAnswer: 1087900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -29042 <= -18478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1621 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 m(b) = -9*b - 9. Let y(g) = 4*g + 5. Suppose 30*r - 34 = -124. Calculate r*m(o) - 5*y(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38766 at most as big as 38451?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1484*z + 1482*z + 3*g + 5, -4*z - 35 = 3*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 2\/9, -2\/4335, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 4 = 5*j + 25, -w + 6*j - 2*j + 27 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - w = -4*w + 19, 0 = 5*w - 5. Solve -2*u - 2 - 4 = a, 0 = -s*u - a - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/120 and -89\/600?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 64*b - 267. Give i(6).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -7 + (-3 - 0)\/(-1). Let v be (u + 1)*(-2)\/3. Solve -10 = -v*j + 3*x + 5, 0 = -4*j - 2*x + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 7 = -h, -8 = -3*h + 5*b + 16. Suppose -5*x = -h*x - 88. Is x equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18 or 7.7?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**20)\/a**(-26)*((((a*a\/a**(-4))\/a)\/a)\/a)\/(((a*a*a*a**21*a)\/a)\/a) assuming a is positive.\nAnswer: a**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 11781990 to the nearest 10000.\nAnswer: 11780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 + -14. Suppose -s - b = s. Let x be 6\/s + 3 + 4. Solve -l - a - 6 = -0*a, x*l = -3*a - 20 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2*(-1)\/(-2)*-3. Suppose -z*d = d. Suppose 4*v - 5*i = 25, -5*v = 2*i - 7*i - 25. Is v at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, 2486, -1, 0.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ottt when four letters picked without replacement from sotsssstoto?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 60735 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19\/109 + -2934\/1199. Let d be (-2)\/(4\/6) - (-1806)\/301. Find the common denominator of b and (-34 + 49)\/((-192)\/d).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33.9 - -34. Let g = 0.06 - -0.94. Which is the third smallest value?  (a) g  (b) s  (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 0*i**2 + 1 + 62*i**3 + 24*i**2 - 33*i**3 - 30*i**3 as l*i**2 + b*i + h*i**3 + v and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(3) + sqrt(96)\/sqrt(2)) + (-5 + (1 + sqrt(396) - sqrt(396)))**2 + 0.\nAnswer: sqrt(11)\/5 + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -799982*h - 742975*h - 8 + 8.\nAnswer: -1542957*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 + 16*h - 13. Is 2 a factor of f(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -3*r**3 + 189*r**2 + 164*r - 9379. Calculate l(63).\nAnswer: 953","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66092 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 366053.5 years in decades?\nAnswer: 36605.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99695866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**6*l**(-23)*(l**(-1\/14)*l)**(-17) assuming l is positive.\nAnswer: l**(-459\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 5*k - 2. Let z be g(1). Suppose 0 = z*q + q + 56. Let b = 26 + q. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 7 = -37. Let o = k - 5. Differentiate -9*j**3 - 6 + 208*j**2 - o*j**3 - 208*j**2 with respect to j.\nAnswer: -78*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 6 = k. Solve -6*v - 9 = -3*v - t, 26 = -5*v - k*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/15)\/(415\/75 - 5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -645*v + 668*v + 3*v**3 - 25 - 18 - 3*v**2 - 3*v**3 + v**4 as g*v**3 + d + t*v + u*v**4 + f*v**2 and give d.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -26181*v + 471. Let x(t) = 1190*t - 21. Calculate -2*l(o) - 45*x(o).\nAnswer: -1188*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes before 9:58 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(-4)\/24*123\/1681.\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 - 21*z - 10. Let p be q(-10). Which is bigger: p or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-315)\/45*44\/77.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*n + n + 29*n**2 + 17*n**2 - 69*n**2.\nAnswer: -23*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**3 + 580*v**2 + 8708*v + 31164 = 0?\nAnswer: -7, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + 2*l + 1. Let k be v(-1). Suppose 0 = -160*z + 46*z + 684. Solve 0 = -5*n + 4*b + 3, n + 3*b - 6*b + z = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02477 take away 7221276099?\nAnswer: -7221276098.97523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 247\/3 + -84. Let z = 114.2 + -114. Let j = -0.8 + 2.8. What is the nearest to z in 1\/9, h, j?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*t + 44 = 49*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((n*(((n**(-4)*n)\/n)\/n)\/n)\/n)\/n)\/n*n*n**8*n)\/(n\/((n**(4\/5)*n*n)\/n)*(n\/(n*n**6))\/n))\/(n**9*n**(-1\/20)*n*n)**27 assuming n is positive.\nAnswer: n**(-5717\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 150 and 400.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 5*j = 2*y + 5, -5*y - 4*j - 4 = 0. Factor y + 12\/5*r - 3\/5*r**2.\nAnswer: -3*r*(r - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -22*t + 40. Let c = 86 + -89. What is the remainder when k(c) is divided by 32?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + 1 + sqrt(1377) + 0 + -3).\nAnswer: -10 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3816 - 3816.3. Let x be (-30)\/(-20) - (-2)\/(36\/(-35)). What is the closest to 4 in b, 11, x, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000072718145 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rpzrzzjzyrr. Give prob of sequence yp.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -12702928 and -12702929 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*b**3 + 2 - 58*b**4 + 8*b**3 - 125*b + 37*b**4 + 23*b**4 as m + f*b**2 + y*b**4 + a*b**3 + k*b and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 2362972?\nAnswer: 3\/2362972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-15))\/((-88)\/(-33)). Let q be (-87)\/(-54) + (-6)\/4. Which is the biggest value?  (a) -8  (b) s  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6010004 (base 7) in base 9?\nAnswer: -1288538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2900 divided by -580.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 169457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -280, -289, -312, -355, -424, -525, -664, -847?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 211121.3 nanograms?\nAnswer: 0.0002111213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -3*t - 9 + 3, -4*t + 34 = 2*i. Suppose -i = -2*j + 11. Let f be 971998\/(-9) - j\/45. Round f to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*l*o*q**3*v**2 - 2*l*o*q**2*v**2 - 1206*l*o*v**2 - 16*l*q**3*v - 3*o*q**3 wrt q?\nAnswer: 48*l*o*v**2 - 96*l*v - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 0 + 2 + 1. Suppose 3*l - 2*g - 202 = 0, -2*l + 3*g - 113 = -4*l. Suppose -s = 3*s - l. Calculate the highest common factor of m and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 3*c - 8*c + 3*b, 11*c - 5*b - 3 = 24*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 60656.\nAnswer: 2, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 37 + 110ed?\nAnswer: 11124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -111*c**2 - 7*c - 12. Let x(i) = -i**2 - 16*i - 8. Let p = 21 - 36. Let a be x(p). Let r be n(a). What is r rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 divided by -6743664?\nAnswer: -37\/2247888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 3*j = -7, -j = -2*t + j - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.39845423 + -5.058?\nAnswer: 27.34045423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nppwwbwwwa. Give prob of picking 2 p and 1 w.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 7:01 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3039909?\nAnswer: 3, 619, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0, -18, -35, 1 in descending order.\nAnswer: 7, 1, 0, -18, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1350, -5409, -12180, -21669, -33882, -48825?\n\"Answer: -z**3 - 1350*z**2 - 2*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, 3, -2, 1\/7 in descending order.\nAnswer: 3, 2\/11, 1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56456 divided by -2.\nAnswer: 28228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11 * 5326\nAnswer: 58586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*t = 367*t - 9045 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 25309788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1364732 is divided by 1364714.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 29, 114, 299, 614, 1089, 1754, 2639, 3774?\n\"Answer: 5*z**3 + 20*z**2 - 10*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuauluajaujua. Give prob of sequence jl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.035  (b) 1\/3  (c) -5  (d) 2\/43  (e) -10  (f) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: What is 135532908 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 - -51\/2. Let k = 0.3 - 0.3. Sort c, -1\/5, k.\nAnswer: -1\/5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wvxmhhg. Give prob of sequence xh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -540 + 539.98. What is the second biggest value in -3\/4, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 57, -0.2, -0.0663?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 21614692?\nAnswer: -21614689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3661953 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3225?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 636*q + 3548 + 7900 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of j**4\/12 - j**3\/6 + j**2 - j. What is the remainder when v(5) is divided by 24\/2 - (-5 - -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t**5 - 7*t**4 + 13*t**2. Let g(s) = 3*s**5 - 3*s**4 + 6*s**2. Let u(h) = 7*g(h) - 3*w(h). Find the third derivative of u(q) wrt q.\nAnswer: 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 2*c = 40, 101*r - 103*r + 33 = 5*c. Solve r*p + 17 = -40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -3*d - 13, 0 = 8*d + f - 2*f + 4*f + 19 - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 20*v + 1. Determine p(2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 4*b + 8. Let c(y) = -y**2 - 5*y - 9. What is -4*c(h) - 5*k(h)?\nAnswer: 4*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-2880)\/(-15))\/32*2\/(-54)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 - 2*c + 2. Let g be n(-4). What is the remainder when 11\/(33\/15) - -33 is divided by (1 + g*1)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 24 = 17*f. Is 10\/13 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrrq when four letters picked without replacement from rrrrrrrrrrrq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 3*w. Let x(i) be the first derivative of -22 + 0*i + 5\/3*i**3 + 0*i**2. What is c(x(p))?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -183*n + 181*n + 4*p - 8 = 0, 5*p - 10 = -26*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 32*u**2 + 2 + 1.\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 4*y + 13 = 0, -10062*h + y = -10059*h - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -4*w - 4. Let f(c) = 13*c + 11. What is -2*f(s) - 7*m(s)?\nAnswer: 2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 48671 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 71 + 82. Suppose -3*u = 12 - a. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*d + 7 = -v - 35*d, 2*d + 2 = -v. Put -5, -27, 5, v in increasing order.\nAnswer: -27, -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 172 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 + 17*r**2 - 8*r - 4. Is a(10) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 279 and 5378221.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4\/(-1*1\/(-1)). Suppose -7*a + 8 = -3*a. Suppose b*j - a = 6. What is the smallest common multiple of 6 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/16349028 and 29\/710?\nAnswer: 81745140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the third derivative of t**5\/60 - 7*t**4\/24 - t**3\/2 - 34*t**2. Calculate j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 - 2)*(-4*v**2 + 4*v**2 + v**3)*(2 - 4 + 0) - 2 + 2 - 2*v**3.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/(-69)*90 - 4?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47494?\nAnswer: 2, 23747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -55*m - 87. Let i(c) = -81*c**2 - 5. Calculate t(i(d)).\nAnswer: 4455*d**2 + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -475473 and -0.1?\nAnswer: 47547.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 4*l = 6, 5*l + 18 = -5*u + 3. Which is greater: u or -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12036.\nAnswer: 2, 3, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -194 and 117775?\nAnswer: -22848350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -259856*3\nAnswer: -779568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jqibfmm. What is prob of sequence ifq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*37448.783.\nAnswer: -149795.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 n, and 1 y when four letters picked without replacement from {y: 2, o: 2, u: 2, n: 2, e: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -10 + (-4 - -1) + 4 - 13\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 819885679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 34\/(-14) - (-2)\/1. Let m = 0.45 + -0.42. What is the nearest to m in l, 1\/3, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 170154, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2 - z + 3. Let k be u(0). Let y = 5 + k. Suppose -7 = -5*a + 2*x - 5*x, a - 3*x = 5. Solve -a*o + y = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/2 and -49\/7170?\nAnswer: 7170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.475176 microseconds to hours.\nAnswer: 0.00000000179866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/16 at most as big as 304659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 21131231333 (base 4) in base 16?\nAnswer: 25db7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 141 or 139?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 173847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 48\/(-32)*140\/3. Let z = -7 - c. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/(-88))\/(95\/(-10) + 10). Sort -1\/5, z, 2\/23, 0 in ascending order.\nAnswer: -1\/5, z, 0, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (29 - 40) + -8 + -6 + 9 + -2 + 123.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + ad8?\nAnswer: ad8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*r + 3*r - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13984147*r - 13984251*r + 6344 = 0 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + -5 - (-26 - (-34879)\/52). Is f >= -649?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -81972578 + -0.02876?\nAnswer: -81972578.02876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/3 + (-104)\/(-84). What is the closest to 12\/11 in 1\/2, 0.2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 v, and 1 s when four letters picked without replacement from {s: 6, n: 4, b: 6, v: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(2420))\/(sqrt(1440)*2))**2 + 1*(-1 + sqrt(72)*-4 + sqrt(72))**2)*-5.\nAnswer: -234245\/72 - 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1012 - 993. Let y = 25 - 6. What is the highest common divisor of z and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2003 + -9c7?\nAnswer: -29ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.0001202 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -6, 4, -4, 38 in decreasing order.\nAnswer: 38, 4, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(243)*-2 + sqrt(12)\/(sqrt(4)*-4 + sqrt(4)).\nAnswer: -55*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f + 8*f - z = 15, -5092*f = -5081*f - 2*z - 32 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 + 0*u**2 + 5*u**2 + (0 + 3 - 2)*(3*u**2 + 3 - 3))*(109*u**3 - 111*u**3 - 14 - u**2 + 3).\nAnswer: -10*u**5 - 5*u**4 - 55*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1 + -2 + 1 + 2. Suppose 12 = o*j + 2*i, 0 = -2*i + 3 - 1. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74746679 is divided by 1153?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/30)\/((2\/(-12))\/1). Let k be h + (5 + -1 - 0). Let v be (-16)\/90 + 4\/10. Put v, k, 1 in decreasing order.\nAnswer: k, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*j + 389 = 352 - 347 - 391 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 132320954, 264641908, 396962862, 529283816, 661604770, 793925724?\nAnswer: 926246678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 413801753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 9:00 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n. Let o be u(-4). Let z = 0 - o. Suppose -4 = -z*r - 0*r. Solve 3 = -c + r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 41*v**2 - 4*v + 190. What is the smallest common multiple of 1848 and h(-39)?\nAnswer: 20328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 0.102, 0, -4\/11, 0.4, 3, 1468?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70)\/sqrt(10) - sqrt(7))**2 + -1 + sqrt(7) + sqrt(567) + 3 + ((sqrt(448) + -1 + sqrt(448))*-3*6)**2.\nAnswer: -10358*sqrt(7) + 580934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 196557887 - 71*x + 66*x - 196557885.\nAnswer: -5*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 5822348284 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 - ((-92 - -83) + (19 - 0) + 56)) + -1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*v**2\/3 - 212*v\/3 - 72.\nAnswer: 4*(v - 54)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100118 (base 9) to base 10.\nAnswer: -590588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1251556.\nAnswer: 2, 139, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -241 divided by -1029555?\nAnswer: 241\/1029555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.926 - -1.126. What is the nearest to -5 in m, 13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 129*i**4\/4 - 132231*i**3\/4 + 517893*i**2\/4 + 15386151*i\/4 - 358371\/2 = 0?\nAnswer: -9, 2\/43, 13, 1021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-75))\/((-1)\/2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 675, 1373, 2071, 2769, 3467?\nAnswer: 4165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2188\/19449 - -3\/2161. Let p = 6.2 - 7. What is the nearest to 2\/7 in h, -0.2, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (345\/(-230))\/((12\/(-432))\/((-1)\/3))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes before 7:47 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*p**4 + 0*p**4 - 5*p**4)*(3*p + 5*p + 0*p) + 2*p**5 + p**4 - 3*p - p**4.\nAnswer: -126*p**5 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 4:47 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5626 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 25019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53899 is divided by 453?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2799 and 13598475.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7388 and 20?\nAnswer: 36940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 12:26 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 2*y + 2. Let z be g(-2). Put z, 1, -5 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42262706459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**3 - 8*h**2 + 9*h + 5. Let r be s(-9). Solve -m + r*m = -8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5102*a**3*n + 8406*a**3 + a**2*n - 11*a**2 + 3*a*n - 1579*a + 9*n wrt a.\nAnswer: -30612*n + 50436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8352 is divided by 220?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3481210 and 1081770?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*d**2 - 2*d + 2*d)*(11*d + 11*d - 9*d)*(3 - 6 + 4 + (0 + 0 - 2)*(1 + 1 - 4) - 2 - 5 + 5 + 1 + 3 - 6) as n*d**2 + i + r*d + h*d**3 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 130 + -130 + (1 - 5) - 17\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 p when three letters picked without replacement from {p: 2, n: 6, a: 4, r: 3}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 72 = -4*x - 8, -4*x + 3*y = -84. What is the smallest common multiple of -6 + 5 - 1*-13 and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00051426 to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 3*l - 6, 2*l - 6*l = 12. Suppose 24 = -0*o + 3*o - 3*g, -2*o - j*g = -41. Solve -2*a + 3*k - 1 = 0, -3*a - 2*k + 5 = -o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**3)\/h)\/(h\/(h**(-7)*h))*(h**(-1\/7)\/h)\/(h\/((h\/(h**0*h))\/h)*h) assuming h is positive.\nAnswer: h**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 493.5961l?\nAnswer: 493596.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the first derivative of -4*k**3\/3 + 10. Let w = 23 - 21. Let j(u) = 6*u**w + 7*u**2 - 14*u**2. Give j(a(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m - m - 10*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m = -2*k + 2515 - 2398, 4*m = 3*k - 176 for k.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7818.392 millennia in centuries?\nAnswer: 78183.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + 13. Calculate the remainder when 38 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + w**2 - w + 12. Let m be i(0). Suppose -5*s = -k - 4, -3*k - s = -4*s + m. Let p = 17 + -13. Sort p, k, 5 in decreasing order.\nAnswer: 5, p, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -5*r**3\/3 + 45*r**2\/2 + 50*r - 183. Determine p so that g(p) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3*2\/(-15)*-6*55\/(-726).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**1\/(k*k**(-3)))\/(k*k\/(k\/(k*k\/(k\/(k\/(k\/(k*k**(-3)))))))*k**(-1\/7)) assuming k is positive.\nAnswer: k**(22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 204998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 181677, 726718, 1635117, 2906874, 4541989, 6540462, 8902293?\n\"Answer: 181679*n**2 + 4*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-9 - -5 - 22)*-2*2 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/6 - (-38)\/6. Let s(q) = 7*q + 2. Let a(z) = -2*z - 1. Let o(i) = 6*a(i) + 2*s(i). What are the prime factors of o(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y - 72 = 4*y. Let q be 3 - ((-6)\/2 - -2). Suppose 9*w - 4*w = 3*j + 15, 5*w - q*j - 10 = 0. What is the least common multiple of y and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 3)*(1493*r + 0*r**2 - 507 + 3*r**2 - 1495*r) to y + s*r + w*r**2 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1250, 1647, 2034, 2405, 2754, 3075, 3362, 3609?\n\"Answer: -m**3 + m**2 + 401*m + 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) - sqrt(14)\/sqrt(2)*4) + 5*sqrt(112) - (sqrt(77)\/(sqrt(33)\/sqrt(3)) - sqrt(77)\/sqrt(99))**2.\nAnswer: -28\/9 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, u: 2}. Give prob of sequence xux.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, s: 4, a: 11}. Give prob of picking 2 a and 1 k.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g + 168. Let v be w(0). What is the units digit of 2\/(-10) - v\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -102, -690, -1760, -3318, -5370, -7922, -10980?\nAnswer: -14550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**3 - 1 - 11*p**3 + 8*p**3. Let s(m) = m**3 - 3. Give -s(b) + 3*v(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149 - 135 - 3*p**2 + 284.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1960, -1959, -1958, -1957, -1956, -1955?\n\"Answer: a - 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2660 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -3  (b) 0  (c) 15284  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - 2*h - 2*h)*(65 + 31 - 22) - 3 - 2 + h + 1 + h - 2*h - h.\nAnswer: -75*h - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 28*t - 104. Give w(-22).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, 50.42, -0.28, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 365 and 52487.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -754*l**3 + 33*l**2 + 74*l + 11. Let q be u(-2). Calculate the highest common factor of 294 and q.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20 - 6. Suppose 0 = p*r - 18*r + 740. What is the remainder when r is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 19 = -1. Suppose -x*o + 22 = 3*p, -2*o + 0*o = -3*p + 29. Solve a = -2*a - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1558*h - 773*h - 783*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 198*j**3 - 4*j**2 + 4*j - 273. Let w(g) = 593*g**3 - 11*g**2 + 11*g - 819. Let q(t) = 11*i(t) - 4*w(t). What is the derivative of q(y) wrt y?\nAnswer: -582*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32 by -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-12*n + 5*n - 7*n)*(60 - 79 + 325 + 165) as a*n + o and give a.\nAnswer: -6594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -3\/4, 0.5, 15?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4839627, 4839645, 4839663, 4839681, 4839699?\n\"Answer: 18*q + 4839609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 48155483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 33\/7*o**3 - 32\/7*o**2 - 12\/7*o + 0 - o**4.\nAnswer: -o*(o - 3)*(o - 2)*(7*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -32?  (a) -24  (b) -3  (c) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.901 + -6.214. Let n = -0.313 - h. Which is the nearest to n?  (a) -7  (b) -2\/9  (c) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -0*c - 2*s - 114, -4*c + s + 113 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**3 - y**2 + 3*y. Let r(b) = -2748*b**3 + 2396*b**2 + 18*b. Let a(q) = -6*j(q) + r(q). Find the third derivative of a(c) wrt c.\nAnswer: -16560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -188456, -188461, -188478, -188513, -188572, -188661, -188786, -188953?\n\"Answer: -h**3 + 2*h - 188457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 1\/7  (c) -2\/7  (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 4423981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 739974, 5919782, 19979264, 47358258, 92496602, 159834134?\nAnswer: 253810692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 28*d**2 + 1003*d + 46. Let k be g(-36). Which is smaller: k or 231?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.035247995 to five dps.\nAnswer: -0.03525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.10437 rounded to 0 decimal places?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2499 - -2504. Put -150, -1, v in descending order.\nAnswer: v, -1, -150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*s**4 + 732*s**3 - 39888*s**2 + 519680*s + 2764800 = 0. What is s?\nAnswer: -4, 27, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 56 - 53. Suppose i*a - 12 = -3*w, -a = -2*w + 2*a + 3. Put -0.5, w, 4 in increasing order.\nAnswer: -0.5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.19 * 1448989.\nAnswer: -275307.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131707245?\nAnswer: 3, 5, 17, 516499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -76*(84\/16 - 5). Let t be 1 + -3 + (-2)\/(-1). Suppose t*i = i + 18. Is i not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 159 minutes before 8:17 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 588057 is divided by 293333.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*q**3 + q**3 - 3*q**3)*(28 + 8 + 0) + 0*q + q**3 + 0*q to the form r*q**2 + t + f*q**3 + k*q and give f.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*d = -7, -n = -0*n + 2*d - 3. Let y be -2 + 0 - (286\/(-33) + 4). What is the closest to y in n, 4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the second derivative of -3*a**4\/2 - 14*a. Let o(d) = -2*d**2. Calculate o(w(q)).\nAnswer: -648*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 4:03 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4110 = s + 5*a + 4142, 19 = 4*s - a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 5*w - 4. Let s be n(6). Suppose -100 = -5*k - s*y, 2*y = -2*k + 3*y + 49. What is the lowest common multiple of 14 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8505 - -5930. Let a = -2573.713 - s. Let t = a - 1.22. What is t rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -368a (base 12) to base 3\nAnswer: -22102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, f: 8}. Give prob of picking 2 f and 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -109 + 42. Let u = -65 - o. Suppose 0 + 0*a + 3\/2*a**u - 3\/4*a**4 + 3\/4*a**3 = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21210032 (base 5) to base 4\nAnswer: -223221033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 625657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**3\/4 + 417*k**2\/2 + 6085*k - 43962.\nAnswer: -(k - 862)*(k - 6)*(k + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-8))\/(h*h*h**(-13)*h)*(h*h\/h**(-4\/11))**(-39) assuming h is positive.\nAnswer: h**(-805\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 45 = -5*s, 5*s - 125 = 2*c + c. Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*155\/1488 + (-4920)\/96?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**2 + 150*k.\nAnswer: -5*k*(k - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -193 = -4*y + 115. What is the remainder when y is divided by 0 - 462\/28*3*4\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.9 - -2.1. Let s = p + 0. Sort 3\/7, s, -4 in decreasing order.\nAnswer: s, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*f - 3*f - f)*(4 - 4 - 3*f) + (-5*f + 6*f + 7*f)*(f - 3*f - 3*f) - 29*f**2 + 216*f - 216*f as c*f + r + m*f**2 and give m.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 470 is divided by 150.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 7  (b) -4  (c) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145 is divided by 27.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-3 + 4 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 6*g**2. Let u be p(6). Suppose u = 6*v - 14 - 16. Suppose 0*k + 4*k = 16. Is v equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 43 + (-6 - -2) + (-11 - -14) + -5 + 12?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 + 1.6. Let d = 0 - n. Let k(a) = a**2 + 238*a - 966. Let o be k(4). Sort d, o, 1 in descending order.\nAnswer: o, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the second derivative of 0 + 6*h - 1\/42*h**7 + 0*h**6 - h**3 + 0*h**4 + 0*h**5 + 0*h**2. What is the second derivative of v(w) wrt w?\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4893119 divided by 109\nAnswer: -44891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 0 = -4*l - 5*m, l - 11 = -5*m. Is 30 a factor of ((-18)\/(-24))\/(l\/80)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9044)\/(-190))\/17*40\/42?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58659 is divided by 595?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**3\/21 + 27064*o**2\/21 - 4306562*o - 2532993612\/7.\nAnswer: -2*(o - 6807)**2*(o + 82)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/15  (b) 341  (c) 1\/3  (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = -3*h - k, 0*h - 2*k + 60 = 2*h. Suppose 3*x + 5 = -3*d - 1, 5*x - 2 = d. Suppose -3*z + 50 - 2 = x. What is the highest common factor of z and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3520\/30163 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -35?  (a) 0.2  (b) 3\/13  (c) -8  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 606 + -601. Suppose 0 = 2*l + 4*g - 32298, l + 3*l - 64608 = -2*g. Suppose -f*q + 0*y + 16137 = 4*y, 0 = -5*q + 4*y + l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1866 = -1085*r + 2458 + 2663 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.418 - -4.418. Let n be 4\/(-14) + (-600)\/(-1071). Let z = n - 20\/51. Sort z, -3\/7, y in descending order.\nAnswer: y, z, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lb when two letters picked without replacement from {e: 1, q: 2, o: 5, b: 1, l: 9}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -42.5 and -40902.899?\nAnswer: 40860.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 + -1 - -4) + (-56)\/32.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 10. Factor 9*j**5 + 3*j**4 - 6*j**n - 46*j**2 + 46*j**2.\nAnswer: 3*j**3*(j + 1)*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 + 58. Let a(i) = -6 + 7*i - w*i + 7*i. Is 6 a factor of a(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-43 - -10) + 74.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*i + i - 2*i + (3*i - 2*i - 2*i)*(-3 + 4 - 4) + i - 2*i - 3*i to the form p + z*i and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 5*h - 131799 + 131929, 0 = 5*h + 130 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand x**5 - 2*x**5 + 2*x**5 + (2*x**2 + 4*x - 4*x)*(4*x**3 - 2*x**3 + 0*x**3).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) + -1 + sqrt(468))**2 + 4 + 2 + (sqrt(468) + 2)**2.\nAnswer: 2351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 171.462 to zero decimal places.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177080 is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/2*-2*-3. Let o = 21 - 17. What is the closest to c in -5, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.13462 + -0.03462. Sort 11, w, -1.8.\nAnswer: -1.8, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-34)\/(-8))\/((-5)\/(-20)). Suppose f = h - 5. Calculate the lowest common multiple of f and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10843 + 1194.8733.\nAnswer: 12037.8733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -4*b + 46. Let k be ((-6)\/4)\/((-12)\/80). What is the least common multiple of (-1293)\/(-39) + 6\/(-39) and j(k)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -349 = -32*s - 3*s + 4*w, 2*s = -3*w - 148 - 29 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -2\/65, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 40 + -14. Suppose -2*m + 22 = -2*a, 3*m = a + 11 + i. Which is smaller: m or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 69\/7 or -116?\nAnswer: 69\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 223705 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**3 + 2*a - 2*a)*(-6*a**2 - 3*a**2 + 1289 - 1317 + 0*a**2 - 4*a**2 + 5*a**2 + (3*a - 4*a + 3*a)*(0*a + 0*a + 2*a) - 1 - a**2 + 1 + a**2 + a - a).\nAnswer: 12*a**5 + 84*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-3)\/((j*j\/(j*j**(-3\/5)))\/j))\/(j**(-2\/5))**(-50))\/(j**(-2)\/((j\/((j\/(((j\/j**(-1\/12)*j)\/j)\/j))\/j))\/j*j)*(j**(-1)\/j)**(1\/8)) assuming j is positive.\nAnswer: j**(-304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12281*v**2 - 4075*v + 2.\nAnswer: -24562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1325\/5922 - 1\/658. Sort b, 1, -0.313, -0.5 in decreasing order.\nAnswer: 1, b, -0.313, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 982571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - ((-1 - 14) + 2216\/74)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*q + 3*s, 0 = q + 4*s + 15 + 2. Suppose 5*l + 62 - 192 = 0. Suppose 28 = 22*c - l*c. Put c, -0.3, q in decreasing order.\nAnswer: -0.3, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 597  (b) -4  (c) -2\/5  (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 5, 0.3, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -85596*t**2 + 85729*t wrt t.\nAnswer: -171192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 7*y**2 - 746*y - 315. Give q(107).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-1)\/6)\/((-13)\/312*3). Let r = -0.06 + -2.94. What is the closest to -2 in k, r, 3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 1\/3, 4, -3.32, 0.3?\nAnswer: -3.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3)\/(-15) - -3*134799\/315. Solve 0 = -12*k + o - 1212 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5894347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4250 + -23?\nAnswer: -4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010111 - 11?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 195549707 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/(-3) - -3)\/(-2). What is the nearest to -0.1 in y, -1\/6, -0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-1))**49\/(l*l**3*l\/(l*l**(-6)\/l*l)) assuming l is positive.\nAnswer: l**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 2*y + 4*m + 18, 2*m = -6. Solve y*c = 3*l - 1 - 2, -l - 2 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of -x**5\/20 + 7*x**4\/12 - x**3 + 2*x**2 - 3*x. Let l be d(6). Solve -1 = 5*n + l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/(-3*sqrt(120)\/sqrt(10)))\/(1*-4*sqrt(3)*-6).\nAnswer: -sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*f**2 + 5*f**2 - 6*f**2 + (2 - 4 + 1)*(-f**2 - f**2 + 3*f**2 - f**2 + 4*f - 4*f + (3*f + 2*f - 4*f)*(-f - 2*f + 5*f)) - f**2 - 4*f + 4*f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*o = -23*o + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1051 - 37633?\nAnswer: -36562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6827795?\nAnswer: 5, 13, 17, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 2 + 1 + 6. Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25104577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + -5. Suppose 4*p - n*p = 16. Solve -x = x + p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(30)\/((sqrt(70)*-1 - sqrt(70))\/sqrt(7)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -29878\/20751?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 + 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 161 - 38. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -47. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -1, 6\/35, -5 in descending order.\nAnswer: 6\/35, 1\/7, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of 0 - 47*p - 1\/120*p**4 - 144\/5*p**2 + 4\/5*p**3. Suppose u(r) = 0. What is r?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*v**2 + 15*v + 10*v - 14*v wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 2*k = -3*k + 2, 4*k + 39 = 5*a. Suppose 12 = 2*s - 2*l, 3*s - 3*l = s + a. Let d = 15 - -6. Calculate the remainder when d is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oe when two letters picked without replacement from qeoqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from bbblblylyybwby?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3153?\nAnswer: 3, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1919108297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8530120 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3\/20 - 1\/20. Which is the third smallest value?  (a) 0.1  (b) x  (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1672470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (37 - 9) + 30 - -16.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -6*b**3 + 19*b**2 + 5. Let c be ((-60)\/(-14))\/(((-2622)\/161)\/(-38)). Let w(h) = -h**3 - h**2 + 1. Calculate c*w(s) - 2*a(s).\nAnswer: 2*s**3 - 48*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -13070217.17 rounded to the nearest one thousand?\nAnswer: -13070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6704901941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1177 + -1788. Let b = u + 904. Suppose -5*o - 2*s = -1129, -2*s - b = -3*o + 394. What are the prime factors of o?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -324236656, -324236672, -324236706, -324236764, -324236852?\nAnswer: -324236976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/11)\/(r**(-4\/9)*r))\/(r**(1\/2)*r*r**(-5\/4)*r) assuming r is positive.\nAnswer: r**(-823\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101111001 + -10001001101010?\nAnswer: -10000011110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*j - 6*j. Suppose -j*i - i + 14360010 = -4*f, 3*f + 10770002 = i. What is f rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 449172781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:35 AM and 1:03 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3450 divided by -23\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1311648 a multiple of 1051?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 27.8 equal to 1\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6)\/(-21) - 2\/7. Let p(m) = m**3 - 3*m**2 + m - 6. Let f be p(3). Let t be (-76)\/57*2\/(-92)*f. Is t at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*p - 47*p + 4 + 5*p - 57*p + p**2 - 35*p to the form a + y*p**2 + d*p and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -36224 (base 8) in base 16?\nAnswer: -3c94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9472 and 345691.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ub when two letters picked without replacement from psubssu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 6128400 to the nearest 10000.\nAnswer: 6130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 1827560?\nAnswer: 1827560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2\/9)*b\/b**(1\/5))**(-39) assuming b is positive.\nAnswer: b**(-338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1\/2  (b) -9  (c) -2  (d) -1277\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -144.779 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*p = -298, 4*p = -3*a + 4*a - 96. Suppose 3*q - 2*r - 552 = -2*q, 3*r + a = q. What is the greatest common divisor of 32 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -2*p**3\/9 + 514*p**2\/9 = 0.\nAnswer: 0, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 26\/5 of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) - -5*sqrt(65)*1)\/(sqrt(5) + sqrt(20)*2) - (2*(sqrt(143)\/sqrt(176) + sqrt(13) - sqrt(104)\/sqrt(2)))**2.\nAnswer: -117\/4 + 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 576 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 672232542 - 672232542 + 0*r + 2*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 3*q = -90, -3*i - 38 + 121 = 4*q. Calculate the smallest common multiple of 51\/1 - -2 - (-24)\/24 and i.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 - -135464?\nAnswer: 135456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 388 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 4 + 4 = 0. Let q = n - -3. Does 8 divide (3 - 48\/2)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31654481.\nAnswer: 31654481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 j, and 1 z when three letters picked without replacement from ggagrrgjrrtzrtrt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + g + 1. Let x(q) = -2*q**3 - 4*q**2 - 3*q - 7. Let y(i) = -3*t(i) - x(i). Is 4 a factor of y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003970385 to 7 decimal places.\nAnswer: -0.000397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/6 and (7\/14)\/((-114)\/(-13))?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1651*g - 1630*g - 9324. What is the remainder when g is divided by 163?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 0*m**2 + 7\/3*m**3 + 2*m + 3\/2*m**4 + 1. Let t = 0 - 5. Let r(l) = 5*l**3 + 6*l**2 + 2. Give t*r(h) + 4*p(h).\nAnswer: -h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 3*g - 3*x, g + 3*x - 2 = -1. Which is the nearest to 0.2?  (a) -5  (b) g  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 51791*o*x**3 - 199*o*x**2 + 380*x**3 - 22427 with respect to o.\nAnswer: 51791*x**3 - 199*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -51 and -6.585.\nAnswer: 335.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -63.6 and -17?\nAnswer: 1081.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 472731 is divided by 3581.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 946884907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, i: 5}. Give prob of sequence ii.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + 35. Let t = -36 + a. What is the remainder when t is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.81 in -0.5, 1, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -1876*a**2 + 9*a - 8. Let t be (28\/10 - 2)*5. Suppose c - 12 = -t. Let d be l(c). What is d rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2ac22a (base 15) to base 11.\nAnswer: -1191233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.7 + -1.78. Let g = u + 0.08. Let j be 2\/4 + 3\/(-2). Put 5, g, j in increasing order.\nAnswer: j, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*n - 664 = -184. What is the common denominator of 87\/104 and n?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5240500 - 162?\nAnswer: -5240662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 48 = -5*f, 2*f + 3*j - 78 + 51 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**3 + 5*l**2 + 2*l - 6. Let p be g(5). Suppose 20 = 4*z, -42 = -5*t - 2*z + 13. Solve -p*r - t = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 389213 and 902?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4901294 divided by 218.\nAnswer: 22483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 252 (base 11) to base 13.\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119)\/(sqrt(21)\/sqrt(3)) - (-1 + sqrt(272))) + -3)**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 10 - 14a8?\nAnswer: -1498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the second derivative of -w**7\/21420 + 7*w**6\/3060 + w**5\/68 - 107*w**4\/4 - 310*w. Let t(g) be the third derivative of j(g). Factor t(l).\nAnswer: -2*(l - 15)*(l + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 72 + 70 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 + 48*n**2 + 258*n - 98. What is b(-42)?\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 309 - (0 - (-6 - -20)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 7:20 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -2*n**3\/13 + 254220*n**2\/13 + 4830866*n\/13 + 4576644\/13 = 0.\nAnswer: -18, -1, 127129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4581?\nAnswer: 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 + 20*u**2 + 53*u - 12. List the prime factors of c(-10).\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 6, 15*y = 10*y + b - 17. Sort 106, -5, y.\nAnswer: -5, y, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -0*i + i - 10, 4*k = 2*i - 20. Solve 14*x - i*x + 12 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 811 + 465 = 0. Let r = v - 113. Solve -5*h + 25 = -r*m, 5 = h - 8*m + 3*m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 - -9. Let s be (-4)\/(-6) + w\/18. Solve 2*x - h - 10 = s, -2*h - h + 5 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 4590653919 to the nearest 1000000.\nAnswer: 4591000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*o**2 - 3*o**2 + 0*o**2 - 4*o**2 - 9*o**2 - 41*o**2 + (2*o - 7*o + 3*o)*(2*o + 1 - 1) + 2*o**2 + 2*o**2 - 2*o**2.\nAnswer: -59*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**3 - 27*f**2 + 8*f - 452. Calculate k(26).\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00682991599 to seven decimal places.\nAnswer: 0.0068299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -3*z**2 + 2*z**3 + 2*z**2 - 3 + 2*z - 2*z**2. Suppose -2 - 4 = -3*b. Let y be b\/((-1)\/(-1)) + 0. Calculate v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - 0. Let i = 0.25 + 0.75. What is the second smallest value in i, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r - 2*r + 23*r)*(-1 + 3 + 0).\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -379 + 410.7. Let h = s - 31. Which is the second biggest value?  (a) 0.2  (b) h  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 5*z + 11 = 7, 5*z = h - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 3*n + 1. Let c be p(3). Let g = c + -5. Let s(v) = v**3 + 3*v**2 - 2*v - 3. Give s(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*3*(sqrt(171)\/(sqrt(45)\/sqrt(5) + sqrt(9)) - -4*(1 + sqrt(19)))**2 + 0.\nAnswer: 108*sqrt(19) + 4809\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*d**2 - 23*d**2 - 10 - 23*d**2 to the form x*d**2 + y + b*d and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 10*a + 41. Suppose -3*l + 33 = -2*b, 9 = 2*b - 3*b - l. Let g be q(b). Solve -3 = 4*p - h, 2*p - g = 3*p + 3*h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -4*r - 3*r + 0*r. Let b(o) = -o**2. Determine t(b(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -13 - -14. Which is greater: y or 4\/29?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -650 * -72\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -314685 - -1?\nAnswer: -314684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1029 - -1028.8. Which is the second biggest value?  (a) -4  (b) 23  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-seven halves of a meter in millimeters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*p - 3 = 0, -5*q = -2*p - 14 - 9. Suppose 38 = -a + 3*a - 2*g, 47 = q*a - 5*g. Calculate the remainder when a is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -45756*v**2 + v + 13643 - 3*v + 45757*v**2. Is k(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70154525?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -95040 or 0?\nAnswer: -95040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 48114954 a multiple of 2421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 3*y + 1732, 8*m - 7*m - 433 = y. Let p = m - 218. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 2918*q + 2915*q - 33 = 0, -20*u + 3*q + 57 = 6*u - 92 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - r)*(-14*r - 1 - 10*r + 2*r).\nAnswer: 22*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 17235 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/o**(-2\/9))\/o**(1\/10))\/(o**(-2\/7)*o*o)**(-25) assuming o is positive.\nAnswer: o**(28337\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 3 + 480*b**2 - 473*b**2 + 3*b + 2*b. Let w be h(-1). Solve -10 - 7 = -n + w*v, 5*n - 4*v = 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of -t**4\/24 + 3*t**3\/2 + 39*t**2 + 4*t. Let m(k) = k - 4. Suppose 3*i = 10*i + 35. Give i*m(x) - 2*h(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -a**6\/324 - 17*a**5\/135 + 7*a**4\/27 - 62*a**3 - 210. Let d(t) be the third derivative of y(t). Factor d(f).\nAnswer: -2*(f + 14)*(5*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffbbfff. Give prob of picking 3 f.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1051457 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 - 5*n - 8*n**2 + 3*n**2 - 3*n**3 + 7*n**2 as p*n**2 + i + v*n + j*n**3 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbtabbtkkzkzbk. What is prob of sequence bzzb?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 5*z = -137980, z + 4 = 2*z. What is q rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1086*m**5*y - 2*m**2*y**2 + m*y**2 - 1513*m*y wrt m?\nAnswer: -21720*m**3*y - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**3 - 2*l**3 + l**4)*(l - 3*l + l) + l**3 - 2*l**5 - l**3 + (-1 - 2 + 2)*(-6*l**5 + 3*l**5 + 5*l**5).\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 361 - -1035535?\nAnswer: 1036226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 2*v - 15. Let q be r(10). Suppose 0 = -5*o - w + 17, -5*w + 19 = -2*o + q*o. Let i = -4 - -2. Which is the smallest value?  (a) o  (b) i  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i - 2*i + 17*i**2 - 12*i**2. Let u(c) be the first derivative of c**3\/3 - c**2\/2 - 8. Let p(w) = -r(w) + 6*u(w). Factor p(m).\nAnswer: m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(-35)\/((-245)\/(-14))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 7 = 2*l. Suppose p + 2 - 14 = -5*s, 0 = 3*p + 3*s. Calculate the lowest common multiple of -2*((-37)\/6 - 2\/p) and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12848887?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**2 + 728995 - 728995.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*((-2)\/(-2))\/(12 - 9). Let a(z) = 2*z**3 - 2*z**2 + 0 + 6*z - 8*z**3 - 5. Let i(j) = -j**3 - j**2 + j - 1. Calculate g*a(u) - 5*i(u).\nAnswer: -u**3 + 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.4  (b) 2\/11  (c) -216  (d) 8  (e) 5  (f) -0.0706\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 2 q, and 1 s when four letters picked without replacement from qqhqs?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 4*v - 1. Let q(p) = 14*p - 12. Let x(j) = -4*d(j) + q(j). Give x(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 48 = -3. Suppose 14*g - j*g = 5. Is 600 + (-7 + 1)\/3 + g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -2*a + 1, 0*a - 5*p = a - 23. What is the tens digit of ((-10)\/a)\/(6\/(-240))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**2 + 63 + 2*j**2 - 2463*j**3 + 2*j + 1238*j**3 + 1237*j**3 to v*j + g*j**2 + l*j**3 + p and give p.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.88, 1\/4, -4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -98*q - 211572 = -222156 for q.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2730.\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 4:38 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-444*b**3 - 135296 + 135296)*(1 + b - 1).\nAnswer: -444*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 472.6763 - 3.8863. What is k rounded to zero dps?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12780?\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 104547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -37828f (base 16) to base 8.\nAnswer: -15701217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 8:46 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -55, 0.3, 3, -0.4, 0.5 in ascending order.\nAnswer: -55, -0.4, 0.3, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1000312231 + 1?\nAnswer: 1000312232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -6 + (-1 - -4) + 3. Suppose v*o + 3*o = 24. Calculate the lowest common multiple of o and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/2?  (a) -2\/3  (b) 4.5  (c) 1  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + 1 + -1)*(-2)\/8. Solve 3*f = 6, k*o = 3*o - 2*f - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**3 + 3*r**2 + 2*r. Let x be m(2). Let j(c) = -c**2 - 13*c + 4. Let i be j(-13). Suppose -g + h = -2*h - x, i = g + h. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 1661*r**2. Let l(q) = 1541 - 772 - 769 + 16*q**2 - 8*q**2. Calculate t(l(w)).\nAnswer: 106304*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 332531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*y + 3*p - 7, 16*p - 13*p = 4*y - 38. Which is the second smallest value?  (a) 1  (b) 2.637  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2172422287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (-1 - (2 - (0 + 5))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r - 751 = 10*r + 3*v, v = 3. Let a = -186 + r. Solve -z - z = 4*k - 14, 0 = -a*k + 5*z + 21 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 3*z**3 + 48*z**2 + 263*z - 29. Give m(-5).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-34)\/2 + (182151 - 182267)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -194 (base 16) to base 9\nAnswer: -488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 14566*o**4 - 796*o**2 + 127238605*o wrt o?\nAnswer: 174792*o**2 - 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*w - 2*w + w)*(6 - 3 - 1 + 3*w) to y*w**2 + o*w + u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 0 - 3\/40*b**5 + 0*b**2 + 1\/8*b**4 + 1\/60*b**6 - 1\/12*b**3 - 3*b. Factor i(o).\nAnswer: o*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 138 a factor of 24081414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(225) + 2*sqrt(225))\/sqrt(9))\/(sqrt(120)\/(sqrt(24)\/sqrt(4))).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 31 + -10. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5*r**3 - 84*r**2 - 2*r + 2. Let z(l) = 17*l**3 + 251*l**2 + 7*l - 7. What is -14*o(i) - 4*z(i)?\nAnswer: 2*i**3 + 172*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2381206 and 115130.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 19113 + -18997 - (-15 + -1 + -2 + 3 + 3)\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*i**5*k**2 - 5*i**4*k**2 + 2*i**2*k**2 - 218*i**2 wrt i.\nAnswer: -1860*i**2*k**2 - 120*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffmmmfmfmf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 u, and 2 h when four letters picked without replacement from {e: 2, u: 2, l: 4, p: 2, h: 3}?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31749*u - 31737*u - 24 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2\/5, -143110, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - (336273\/(-20904) - (-6)\/13).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6594.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3481, 5428, 7375, 9322?\n\"Answer: 1947*y + 1534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -19.0321 equal to 27\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/f**(-3\/4)*f*f*f**(9\/4)*f assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*((b**(2\/5)*b)\/b*b)\/b)\/b*b)**9\/(((b*b*b\/((b*b**(4\/7)*b*b)\/b)*b)\/b*b)\/b**(5\/4)) assuming b is positive.\nAnswer: b**(1739\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 375a5 + -4?\nAnswer: 375a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/14)\/(89\/(63546\/(-340))).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 - 10*v - 10. Suppose 0 = 14*k + 290 + 1404. Let d = k + 132. Determine m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 77*m - 73*m - 484. Let y = m + -117. Is 37\/8 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 302 a factor of 154810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -0*y + 4. Let a be 2\/7 + 36\/21. Suppose y*s - r - 48 = -5*r, 0 = a*s - r - 43. What is the remainder when s is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 7:05 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 4*y**2 + 2*y - 3. Let l be n(3). Let p be 4\/(-5)*(7 - l). Solve 2*m - 2 = p*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53\/33 + -2\/33. Which is bigger: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -108508404\/5005 + 21680. Let q = 4361683706 + -43660453976417\/10010. Let r = q + k. Calculate the common denominator of r and -29\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 357\/19 - 1747\/95. What is the closest to 15 in q, 4, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -355275 + 1?\nAnswer: -355274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29224.\nAnswer: 2, 13, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10.2 - -12. Let s = l + -1.7. What is the fourth smallest value in 4, 7, s, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 + 9. Find t such that 3*t - 11*t + m*t**3 + 0*t**2 + 3 - 3*t**2 + 5*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r**5\/6 - r**4 - 6*r**3 - 20*r**2\/3 = 0 for r.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34551, 69035, 103519?\nAnswer: 138003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or -527352350?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -58 and -1641\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 858 - 4286\/5. Factor 0 + 2\/5*p**2 + n*p.\nAnswer: 2*p*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 6*j + 2*j + 2*j)*(-7*j - 12*j + 18*j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -76*r + 74*r + 196*r**2 + 433*r**2 + 3 in the form d*r + w*r**2 + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.07, -1\/7, 41072?\nAnswer: 41072","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*n - j = 34*n + 22, -5*n + 6*j - 6 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 5:30 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3320\/7 or 1\/4?\nAnswer: -3320\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -g**3 + 147*g**2 - 39*g - 74917 wrt g.\nAnswer: -3*g**2 + 294*g - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = 6*o + 446. Let g = o - -240. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1257568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -3805190 divided by 761038\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-2)\/((-4)\/138). Suppose 4*k = 3*b + 1439, 0 = 2*b + 2*k - 7*k + 957. Let l = c + b. What is l rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of -a**6\/540 - a**5\/54 - 144*a**2. Let u(m) = 0. Calculate m.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 66744259 to the nearest integer?\nAnswer: 8170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(100)*-4)\/(sqrt(1715)\/sqrt(7)).\nAnswer: 16*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (32 - 76 + 32)*(-3*k**3 - 1 + 0*k**3 + 6*k**3) to the form i*k**2 + m*k + g*k**3 + a and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g**2 + 10*g + 8. Let k be n(8). Let w = 105 + k. Let o = -1.8 - -1.4. Which is the biggest value?  (a) o  (b) 0.2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**4\/4 + 3*h**3\/4 - 6*h**2 - 9*h = 0. What is h?\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttltlkktklll. What is prob of picking 2 l and 2 t?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5548, 81, 0.09?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 4, x: 6, m: 1, a: 3, b: 1}. Give prob of picking 1 b, 1 m, and 1 x.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*d**2)*(0*d + d + 3*d) - d**3 - d**3 + 0*d**3 + d**3 + 0*d**3 - 2*d**3 + (d - d**2 - d)*(2*d + 3 - 3) - 4*d - 10*d**3 + 5*d + 11*d**3.\nAnswer: -12*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -17239 + 26?\nAnswer: -17213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*r - 3*y - 10 = 52*r, 0 = r + 4*y - 3. Solve 5*q = r*q - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -1 - f + 0 + 2 + 2*f. Let v be s(1). Suppose -v*z = 4 - 12. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - ((-44)\/(-176) + (-3)\/(-12)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**2 + 2*r - 1. Let n(a) = 22*a**2 + 176*a + 2. Let v be n(-8). Give f(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 582 and 63?\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4349653 rounded to the nearest one hundred thousand?\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**4 + 0*l**3 + 3*l**3 - l**3 - 4*l**4.\nAnswer: -2*l**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -266 = -4*i - 3*w, 0*w - 3*w = 6. Suppose 0 = -3*m - m + i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**3 - t**2 + t + 1. Let r(f) = -6*f**3 + 29*f**2 - 33*f - 39. Let x(a) = 5*c(a) - r(a). What are the prime factors of x(33)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((2 - 0)*-2)\/(-2). Suppose -a*f - 2*n = -8, 1 = -3*f + 2*n + 3. Suppose -f*d - 12 = -6*d. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9860.428 centuries?\nAnswer: 11832513.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -60491921*k**3*s**2 - 357028*s**2 + 5*s - 2 wrt k.\nAnswer: -181475763*k**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12110392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -18 + 22. Solve -3*u = 2*h + 2*h + 20, -5 = -x*u + h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 36*m - 166. Give q(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 70\/9 or -487.7?\nAnswer: -487.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 + 8*t**2 - 8*t + 6. What is the remainder when 120 is divided by m(5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -13 + -30 + 39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 o when three letters picked without replacement from rrrrrorrrrrrrrr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 346\/2 + -2*(-15)\/(-10).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 45 - 2 = -2*i, -3*i = 4*o - 150. Let a(z) = -o*z - 204*z + 103 - 103 - 23*z. Let q(j) = -j**2. Give q(a(m)).\nAnswer: -70756*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/(4 - 1)*-35. Find the second derivative of -k*w**2 + 4*w**5 - 16*w + 35*w**2 wrt w.\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38\/14 - (-4 - -7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.044  (b) -1\/4  (c) -3\/2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pbp. Give prob of sequence ppb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 119771054.8 rounded to the nearest one million?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -519.9973 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(1\/10)*m*m*m**5)**(-4\/17))**(-1) assuming m is positive.\nAnswer: m**(142\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 45940077061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6627270 divided by 1325454.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17385*d - 34771*d - 1173*d**3 + 17386*d.\nAnswer: -1173*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 4*x - 8626, 9554 - 900 = 2*q - 3*x. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 143*d**6 - 21016*d**5 - 7968*d**2 - 111*d + 1 wrt d.\nAnswer: 17160*d**3 - 1260960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54\/6623 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229*r**2 + 960*r**2 - 207*r**2 - 211*r**2 - 243*r**2.\nAnswer: 70*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5347, 5281, 5215?\nAnswer: 5149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 553027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*w - 43 = -155 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-2\/27)\/u**(1\/8))\/(u**20\/u*u\/((u\/(u*u*u*u**(-7)\/u*u))\/u)) assuming u is positive.\nAnswer: u**(-3499\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -9231 divided by -6?\nAnswer: 3077\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 3635 times -0.1\nAnswer: -363.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(2\/3)*o**(-2)*o*o**(3\/7)*o*o**(2\/17)*(o\/(o*o**(-6)))\/o*o**(-2\/9)*o*o**(-2\/15)*o*(((o\/(o\/(o**(-5)*o*o)))\/o)\/o)\/o*o assuming o is positive.\nAnswer: o**(15301\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -410 (base 8) to base 3.\nAnswer: -100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 3*((sqrt(104)*1)\/sqrt(8)*1 + -4))*5 + 3)**2.\nAnswer: -1860*sqrt(13) + 6769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**5 + 10247470*c**4 - 30742398*c**3 + 30742394*c**2 - 10247464*c.\nAnswer: -2*c*(c - 5123732)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 28 = -14*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7 + 2 + 3)*(-23 + 11 + 17)*(-15 + 5 + 5)*(54 + 240*o - 31 - 23) to q*o + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**2 - 14*m - 3. Let g be k(-13). Suppose 7*t - 4*t - 12 = 0. Suppose g = -a - 4*p, -4*a = t*p + 4 - 0. Sort 9, a, 4 in descending order.\nAnswer: 9, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 381600 and 288?\nAnswer: 381600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 5)*(-7 - 7 + 211)*(-2*z + 2*z + z) + 0*z + 5*z - 2*z.\nAnswer: -982*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 21 = -3*a, -42*c + 3*a - 30 = -38*c. What is the third smallest value in -21, c, -37?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 5) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 4*k = -20, 6*l - 4*k + 5 = 5*l. Suppose l*y - 325 + 301 = 0. Solve -5*a + y*a + 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-1080.\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -153*z + 119*z + 34. Calculate the remainder when 187 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -6*v**4 + 32*v**3 - 355*v**2. Let m(o) = -13*o**4 + 65*o**3 - 711*o**2. Let n(r) = -3*m(r) + 7*u(r). What is the third derivative of n(z) wrt z?\nAnswer: -72*z + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.5 in -1\/2, -2\/11, -4\/3, 9\/4, 0.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is c in 2*c**3\/7 - 62672*c**2\/7 + 71471302*c - 145429482556\/7 = 0?\nAnswer: 302, 15517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-189)\/15)\/(-3))\/(((-20)\/70)\/(640\/(-168))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -37.88 * -0.09566.\nAnswer: 3.6236008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6030 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 5*f - 2*f. Let i(t) be the third derivative of 0 + 1\/3*t**f + 0*t - 1\/30*t**5 + 2*t**2 + 0*t**4. What is the first derivative of i(v) wrt v?\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38242 (base 15) in base 16?\nAnswer: 2bcbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 993308 = -76*m + 192*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41134019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 - -13. Let r = 22.9 + -23. Which is the nearest to r?  (a) 1  (b) 0.2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes before 12:16 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*o**2 - 5*o**2 - o**2)*(5 - 3 + 2) - o**2 + 3*o**2 + 1 - 4 as d*o**2 + s + c*o and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3684 + -1650. What is the remainder when w is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zm when two letters picked without replacement from mmeeezze.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 6 + 6 + -5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-5)\/(-4))\/(2\/(-8)). Let j = -108.241 - -107.941. What is the fourth biggest value in g, j, 0.2, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26092 is divided by 10577.\nAnswer: 4938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -36*w**2. Let d(v) = 3*v**2. Determine p(d(b)).\nAnswer: -324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 220058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 4 = -3*j. Let k(s) = 1 - 8 + 2 + j*s + 10*s**2 + 11*s - s**3. What is the tens digit of k(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 AM and 12:05 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 6. Let u be -3 - (-3 + 1*y). Suppose -111 = u*z - 13*z. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 319488 by 1024.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -756*p + 4893. Calculate w(6).\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 - 76 + 3*w + 3*w + 82. Calculate the remainder when 3 is divided by n(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(896) - -2*sqrt(896))\/(4*sqrt(2)*-6).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -3*q - 23. Let s(c) = c**3 - 39*c**2 + 31*c - 1196. Let m be s(39). Calculate a(m).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.07861 - 0.07861. What is the third biggest value in -24, 0, u?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.06 greater than or equal to -0.0342258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0004432223 rounded to six dps?\nAnswer: -0.000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 72.43155 seconds?\nAnswer: 72431550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-77)\/66*(-3)\/6*546\/(-147).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 517, 582, 737, 1030, 1509, 2222, 3217, 4542?\n\"Answer: 8*b**3 - 3*b**2 + 18*b + 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -5\/722176 and 11\/3159520?\nAnswer: 25276160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 1057.1222 to the nearest 10.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3116564.5 times -5\nAnswer: -15582822.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g**2 + 11*g - 1. Let l(o) = -5*o**2 + 24*o - 3. Suppose 22 - 7 = 5*d. Let u(s) = d*l(s) - 7*a(s). What is u(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(54\/16)*(13 + 7 - 17)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -51, -80, -109, -132, -143?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -65605 or -65604?\nAnswer: -65604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -7314\nAnswer: 29256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2211002 - 101221?\nAnswer: -10020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 4*b - 3*b = -6*x + 7, 93 = 30*x - 13*x - b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.062 and -7.\nAnswer: -0.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (22 - 8 - -51)) + 13 + (0 - 6).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -187, -4, -3, -1.\nAnswer: -187, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gmdymmzzmxzmzmx. What is prob of picking 2 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**3*s**3 + 84*i**3*s**2 + 3*i**3*s + 16*i**3 - 51*i**2*s**3 + 222*i*s**3 wrt i?\nAnswer: -6*s**3 + 504*s**2 + 18*s + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -22, 17, -1, 0.5, 811, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmmoobooooomoo. Give prob of picking 1 b and 2 m.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163*k = m + 510, 7*m - 1 + 18 = 5*k + 4*m - 31 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.39558 - 0.05558. Is -86 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 8) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xqq. Give prob of sequence qq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -15050000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 110000011000111011011 (base 2) to base 13\nAnswer: 436954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -52.89 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:06 PM and 10:43 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -230, -1318, -3144, -5702, -8986?\nAnswer: -12990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -1 - 0) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 195 - 176 - (-12 + -1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 157110479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 34 or -80?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 413 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 10)*(0 + 2 - 3*r - 1).\nAnswer: 33*r - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -296745*t**5 + 208588*t wrt t?\nAnswer: -5934900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -5*i + 30, -i + 6*i - 2*j = 16. Suppose 0 = -3*g - o + 17, -4*g + 10 = -o - i*o. Put 1, g, -1, -6 in ascending order.\nAnswer: -6, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 41357, 164645, 370119, 657773, 1027601?\n\"Answer: -n**3 + 41099*n**2 - 2*n + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11\/44934 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 82 + 470 = 0. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 - m**2 + m + 2. Let r be i(0). Let w(h) = -2*h + 3. Let b be w(r). Let g(l) = l + 9. Let f be g(-6). Put 0, b, f in decreasing order.\nAnswer: f, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -1194.98?\nAnswer: 3584.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**2 + 7*r + 6. Let p be q(-6). Let f be p\/(2\/3*3). Let k = -490.12 + 490. Is k less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5794?\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67 + -110. Let t = -93749\/10 + 9364. Calculate the common denominator of t and (-1)\/(-6)*(x - -8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in thirty-seven fifths of a second?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.1062142 rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-6))\/(115\/20 + -5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -24 + (56 - 12) + 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -5686 + 6*i + 5*i + 3*i + 5678. What is the hundreds digit of y(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*p**3 + 24*p - 75*p**2 - 109*p + 384*p wrt p?\nAnswer: 24*p - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 4) to base 9\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 2*r + 6*d, 5*r - 812 = -5*d - 842 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 37.98168 micrometers?\nAnswer: 37981.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 3 + 3)*(-4*u + 2*u + 3*u) + (3311 - 1541 + 2543)*(-3*u + u - 2 + 14) to j + x*u and give x.\nAnswer: -8628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 343.991 - 344. Let s = d + 5.009. Let n = 0 + -4. What is the third smallest value in -8, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 3470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1141180 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, v: 3, a: 3, j: 2, d: 2, o: 1}. What is prob of sequence vov?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4983*g + 3979*g + 73292 for g.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 - -6. Let v(m) = m**3 - 9*m**2 + m - 3. Let u be v(r). Let j = u - 4. Solve j*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 4, -21, 137, 3, -3, 1.\nAnswer: -21, -3, 1, 3, 4, 6, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -5433\/7, -286 in decreasing order.\nAnswer: -2\/9, -286, -5433\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/5 - 4*294\/(-60). Suppose z*r - 208 = 16*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7873602 divided by -2?\nAnswer: 3936801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12760291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -89 + 94. Put i, 2, -7 in descending order.\nAnswer: i, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27739 less than -1.5559788225?\nAnswer: -27740.5559788225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, x: 1, q: 1, f: 1, e: 1}. Give prob of sequence ofq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 8*t - 9. Let r be f(-7). Let v be (-5)\/r*92 + 1. Let g be (15 + -1)*(-9)\/(-6). What is the highest common factor of v and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(-81)*3*-1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 - o**2 + 2. Let t(b) = 385*b**3 + 6*b**2 - 14*b + 3. Let n(c) = t(c) + 5*w(c). Does 61 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53242503 is divided by 478?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 201835 is divided by 49605.\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b - 12*b - 33*s + 35*s - 120 = 0, -2*s = -2*b - 10 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -364 + 57. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 5*q + 7 = 0, 2*q + 136 = 3*x + 131 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1406461312.\nAnswer: 2, 10987979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 762509122*m**2 - 762508808*m**2 - 5 + 5.\nAnswer: 314*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -c**3*j*p**2 - 71*c**3*j*v + 4*c**3*p**2*v**2 + 3*c**3*p**2*v - 2*c**3*p*v**2 + 2*j*p**2 + 28*j*v**2 wrt v.\nAnswer: 8*c**3*p**2 - 4*c**3*p + 56*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*n - 9*n = i + 14, -i + 5*n - 29 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1820 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, -0.03, 2\/3, 0.05, 134\/7.\nAnswer: -0.03, 0.05, 3\/8, 2\/3, 134\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + l - 17 = 0, 2*f - f + 5*l + 36 = 0. Is 70101\/3*f\/(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - b + 115 = 0, g + 99 = 4*g + 5*b. Suppose -g*u + 1468000 = -32*u. Round u to the nearest ten thousand.\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4504607 to the nearest integer?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (309 - 181) + -58 + -4.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*y**2 - 24*y**2 - 30*y**2 + 78*y**2 - 24*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 416254, 1664849, 3745784, 6659059, 10404674?\n\"Answer: 416170*x**2 + 85*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4849 + 389. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 - 6*h**2 + 434*h + 7. Determine t(-24).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q**3 + 43*q**2 + 126*q + 245. Give g(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 231, 213, 195?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 11:31 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {u: 4, y: 6}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -l - 5*z, -l - z + 64 = -3*l. Let q be -2 + (-99132)\/189 + 2. Let v = q - -3705\/7. What is the common denominator of v and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 + 5*u + 8. Give i(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -3*j**2 + 2*j**2 + 2*j**2 + 5 - 6*j. Let l be b(5). Solve l*i - 4*i + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9536123 is divided by 3178701.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2390.9302817852 + -0.0458882148. Let h = y - -2391. What is h rounded to three decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v + 7. Let j be u(10). Let y be 10\/3*j\/2. What is the remainder when (1599\/65)\/((-1)\/y) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 892108499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*f + 114 - 6. Let l be (-9)\/(-81) + (-2)\/f. Factor v**3 + 4 + l*v**3 + 71*v - 9*v**3 - 4*v**4 - 63*v.\nAnswer: -4*(v - 1)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 11*a**3 + 4*a**2 - 3. Calculate the least common multiple of 16 and t(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-40) - (-35)\/(-44).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of -f**2\/2 + 1. Let r(c) be the first derivative of c**3\/3 - 1. Determine t(r(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4395 + -4406. Which is the closest to -3?  (a) -3\/7  (b) f  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-160)\/(-15) + (5\/(-3) - -2). Let f(z) be the first derivative of -z**3\/3 + 6*z**2 - 12*z + 50. Calculate f(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-958*s**3 - s**2 - s**2 + 955*s**3 - 2)*(4*s - 3*s + s) to the form c*s + l*s**4 + f*s**2 + m*s**3 + z and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 138789458 to the nearest integer?\nAnswer: 11781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -610*q**2 - 632*q**2 + 903*q**2.\nAnswer: -339*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = t**2 - 5*t + 6. Let j be c(5). What is the first derivative of 9 - a**2 - 4*a**2 - j + 0 wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 = -2*l + 7*l. Let g be ((-99)\/l)\/(1\/3). Solve -9 = 3*x - 5*n, -3*n = 4*x - g - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -420 divided by -105?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4660 - -35145. List the prime factors of m.\nAnswer: 5, 19, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -5 - 46\/(-10) - 17\/(-5). What is the least common multiple of -1 + (-64)\/(-4) + q and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1423 (base 5) in base 8?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 + 14)\/((-6)\/4) - (-230)\/345. Is f < -560\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -3 - 5 + 7 + 2*o**2 - 2*o - 7. Let f be x(-2). Suppose -f*m - 400 = -14*m. Is 40 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 + 4 - 4) + 5 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4696388639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(99)*4*-3 - (-2 + sqrt(99) + 3*sqrt(99) + sqrt(99))) + 1 + -5)*2 + 0)**2.\nAnswer: 816*sqrt(11) + 114460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.05 - 4.05. Let d = -4257147 - -4257143.000003. Let j = a - d. Round j to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at least as big as -3\/26734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xvx when three letters picked without replacement from pvxuvutxxuxxvvutx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3 - 0)*35\/126)\/(-5).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**3 - j**2 + 2*j + 4. Let u be d(-4). Suppose 0 = 103*z - u*z + 1050. Is z a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 480 + -480.00129. What is v rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9619 divided by 22?\nAnswer: -9619\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {m: 1, n: 4, q: 2, a: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 8*f - 8 + 2*f - 126*f - 63*f. Is u(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - q - 2 = g, -5*g + 3*q = 14. Sort 7, -3, g in descending order.\nAnswer: 7, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 21 - 9 + 5*u - 6 - 9. Let x be b(1). Suppose 10 = x*p, -8 = h - 3*p - 1. What is the greatest common factor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1399, 5464, 12207, 21628?\n\"Answer: 1339*r**2 + 48*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -0.2  (b) -1\/4  (c) -15  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = 7*r - 10. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5557 - 33241\/6. Calculate the common denominator of g and -71\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 564 minutes after 7:19 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k**2 + 12*k - 5. Let d(u) = u + 22. Let a be d(-17). Calculate the least common multiple of 12 and m(a).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 6*t**2 - 6*t - 9. Let f be q(2). Suppose 1\/2*y**2 + 0*y - 2\/3 + 1\/6*y**f = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6902.\nAnswer: 2, 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61381, -61682, -61983?\nAnswer: -62284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 51*c - 11*c**2 - 51*c + 26*c**2 in the form k*c + u + w*c**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.98 + -0.02. Let x = -2.0000045 - y. Round x to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 580056*q**3*u + 248*q**3 - 3*q**2*u + 6252*q**2 - q*u - 4*q - 2*u - 1 wrt q.\nAnswer: 3480336*u + 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 278581, 2228667, 7521767, 17829391, 34823049?\n\"Answer: 278585*u**3 - 3*u**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 830773 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e and 1 k when four letters picked without replacement from {e: 12, k: 7}.\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 1\/6*k**3 + 0*k**2 + 15*k + 0. Let i(g) = 15*g**2 + 33. Let x(p) = -p**2 - 2. Let t(v) = -4*i(v) - 66*x(v). Give w(t(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxek when four letters picked without replacement from {b: 4, u: 2, g: 1, x: 2, e: 1, k: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 AM and 4:13 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the first derivative of -w**2 - 2*w - 9. Let x be r(1). Let u = 9 + x. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from piupxaif. Give prob of picking 1 f, 1 p, and 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 0, -3.13, -75?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 260782793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**5\/2 + 2181*j**4\/2 - 406101*j**3\/2 + 3531543*j**2\/2 - 4661256*j + 3866430 = 0.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7931\/6 + -56849\/42. Let i = b + 32. Factor 0 + 2\/7*o**3 + 2\/7*o**2 - 2\/7*o**4 - i*o.\nAnswer: -2*o*(o - 1)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of -t**8\/168 + t**6\/36 - t**3 + 26*t. Let c(n) be the second derivative of f(n). Find the third derivative of c(r) wrt r.\nAnswer: -240*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) 44  (c) 192  (d) 1\/7  (e) -0.5  (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u - 3 + 5*u + 2)*(146*u**3 - 3423*u**3 + 67*u**3) as o*u**2 + f*u + d*u**4 + j*u**3 + l and give j.\nAnswer: 3210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the second derivative of -n**7\/11340 - n**6\/1080 - n**4\/3 + 3*n. Let r(k) be the third derivative of x(k). Suppose r(d) = 0. Calculate d.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24650920 and 143080?\nAnswer: 1799517160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of 3*d**2\/2 - 9*d - 3085. Let j(r) = r - 1. Determine -5*c(t) + 45*j(t).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = o - f - 5633, -5*f - 22523 = -4*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89140.99l in millilitres?\nAnswer: 89140990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxfxfxxxfx. What is prob of sequence xfxx?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -4*n**2 + 6*n. Let m(p) = -3*p**2 + 5*p. Let f(k) = -k**2 + k + 1. Let u be f(3). Let z(x) = u*g(x) + 6*m(x). Let d(t) = -5*t**2. Determine z(d(v)).\nAnswer: 50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 3*g - 144*w + 574 = 7*g, 0 = 2*g - 3*w + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-24)\/(-9)*26802\/24?\nAnswer: 2, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 0*f + 1\/2*f**5 + 0*f**2 + 0*f**3 - 1\/2*f**4.\nAnswer: f**4*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from iiliiiuuiiiiiiilliii?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that -56*s + 3*s**2 - 48*s**3 - 50*s**3 + 160*s**3 - 4 - 48*s**3 - 8 = 0.\nAnswer: -2, -3\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27835.52 millilitres in litres?\nAnswer: 27.83552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -73a0a (base 14) in base 6?\nAnswer: -5552110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 4, y + 4*o + 8 - 31 = 0. Solve -y*i + 12*i = 20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 182*w**4 - 4*w**3 + 75985*w**2 - 75985*w**2 + 2328 wrt w.\nAnswer: 728*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, u: 12, x: 5}. Give prob of picking 1 x and 1 g.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -6912867 + 849.51?\nAnswer: -6912017.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**3 - 6*z**2 - 5*z - 9. Let f be k(7). Suppose 3*c - 6 - f = 2*g, 2*g - 4*c + 16 = 0. Find w such that -2*w**3 + 1 + 3 + w**4 + w**g - 4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -8*(((-60)\/(-8) - -2) + 36\/(-4)). Let s(b) = 2*b**2 - 8*b - 4. Let o(f) = f**2. Let w(n) = -3*o(n) + s(n). Give w(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**3 - 13*y**2 - 13*y - 19. Let z be m(14). Let s = -2 - -2. Let n = 0 + s. What is the closest to -1 in n, z, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75 is divided by 56?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zigzgw. What is prob of picking 2 z and 1 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/9)\/((-4)\/1506). Let p = -2763\/11 + f. Let h = 0.4 + -1.4. Which is the nearest to h?  (a) 4\/5  (b) 5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3 * 0.1267.\nAnswer: -0.03801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 - -25. Solve 6 = -s + 2*i, -h*i = -4*s + 6 - 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3003 at least 21019\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 3*w**2\/7 - 804*w\/7 - 807\/7 = 0.\nAnswer: -1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jummomcjsjcmssossmmc. What is prob of picking 1 j and 1 s?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*h - 1695 = 60*h. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -246.\nAnswer: -73.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 191, 287, 397, 527, 683?\n\"Answer: l**3 + l**2 + 86*l + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 647 + 415 = -172*q - 486 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 552598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 292 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**5 + 0*m**5 + 4*m**5 - m**5 - 19*m**5 - 19*m**5 + (4*m - 2*m + m)*(m**4 + 3*m**4 - 5*m**4).\nAnswer: -41*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the second derivative of -1\/12*r**4 + 0 - 2*r - 1\/2*r**2 - 1\/6*r**3. Let w(b) = -2*b + 15*b**2 + 21 + 11 - 14 + 20*b. Determine -18*t(j) - w(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 1177499100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of g**3\/6 + 21*g - 283. Suppose a = -3 - 0. Calculate q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**5 - 108*r**4 + 104*r**3.\nAnswer: 4*r**3*(r - 26)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 12:00 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10529\/3390 + -2\/339. What is the common denominator of i and 1\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1154 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.843153 times -0.15?\nAnswer: 0.12647295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -5*v**2 - 9*v - 17. Let w(x) = -7*x**2 - 8*x - 16. Let a(n) = 3*q(n) - 2*w(n). What is a(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvuvvvvu. What is prob of sequence uv?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 513 <= -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 62332*b**3*q*r - 2*b**3 - 47*b**2*q*r + 8*b**2*r - 4*b**2 + 6*q*r - 3*r + 2272 wrt q?\nAnswer: 62332*b**3*r - 47*b**2*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -891, -846, -755, -606, -387, -86, 309?\n\"Answer: 2*m**3 + 11*m**2 - 2*m - 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 241 = 35*q + 239, 0 = -6*o - 17 - 17 - 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 9:03 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**2 + 5\/6*j**3 + 5 - 5\/6*j.\nAnswer: 5*(j - 6)*(j - 1)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - (-221)\/(-26))*-2 + (-3400)\/50.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.3 + -0.3. Let h = 5 - n. Let b = h + -2. What is the third smallest value in -0.2, -1\/6, b?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (12 - (20 - 1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 26122 (base 7) to base 13\nAnswer: 31c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -811*k + 1609*k - 802*k - 506.\nAnswer: -4*k - 506","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -504415 and 190.2.\nAnswer: -504224.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of -7*v**5\/5 - 7*v**3\/3 + 4. What is the third derivative of l(p) wrt p?\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1500 or -1054?\nAnswer: -1054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vhhv when four letters picked without replacement from vwhvvewvvuvevwvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14147875, -14147873, -14147871, -14147869, -14147867, -14147865?\nAnswer: -14147863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-14)\/(-10) - 6\/15. Let v = i + 2. Suppose 5 = -v*l + 4*l. Sort -5, l, 4 in ascending order.\nAnswer: -5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-26 + -38)\/64)\/(7\/280).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + q. Suppose 224 = 4*s - 0*k + 2*k, -5*s - 5*k + 275 = q. Is s a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4971688*n**5 + 7235793*n**2 wrt n.\nAnswer: 298301280*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2705923408.\nAnswer: 2, 169120213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4880 and 34.\nAnswer: 82960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -282 - -5355\/19. Let m = 25\/38 + v. Let y be 4\/16 - (-45)\/(-84). Which is the closest to y?  (a) m  (b) 4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 10:03 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52, -237, -720, -1397, -2268, -3333?\nAnswer: -4592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + 4 - 5 - 2*l + 4. Let s be p(-3). Suppose 0 = -3*u - 11 + 92. What is the highest common factor of u and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40934 by 9.\nAnswer: 40934\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 10 = -3*h, -5*i = h + 14 - 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*i = 29, -i = -4*i + 3. Which is greater: 17 or r?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 24*q - 64. Let f be n(5). Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 5*r + 5*r)*(-2 + 2*r + 2) + (-3*r**2 + 0 + 0)*(0 + 0 - 1).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (7\/14)\/((-2)\/(-68)). Find the first derivative of z*x**3 - 2 + 6 - 20*x**3 wrt x.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6}. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*k - 11*k**3 + 9*k**2 - 3*k - 9*k**2 wrt k?\nAnswer: -66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-360)\/(-50) + 4\/5 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 153247, 153470, 154005, 155008, 156635?\nAnswer: 159042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -147780*i**2 + 99591*i wrt i?\nAnswer: -295560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2132 is divided by 268.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = v - 2*s - 1, -4*v - 5*s + 4 = 0. Suppose -2*h - v + 9 = 0. Let y(q) = q + 0*q + h*q - q. Calculate y(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-14)\/(-35) - 27\/(-45). Let k(s) = s**2 - 5*s - 4. Suppose 3*p = 7*p - 24. Let r be k(p). Solve -l - 5 = r*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1482616 (base 9) in base 12?\nAnswer: -3378b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -l**3 + 6*l**2 - l - 3. Determine m(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**2 + 8*b**2 - 10*b + 6*b)*(4 + 0 - 3).\nAnswer: 5*b**2 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 349217983024\/117881 + -2962462. Let a = g + -358829\/305665433. Let t = 199673\/10372 + a. What is the common denominator of -5\/6 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + t)*(62 + 28*t**2 - 62)*(-2 + 0 + 0).\nAnswer: -56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from keseeeeksjssek. What is prob of picking 1 s and 1 k?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Total of 163152 and -649702.\nAnswer: -486550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -u**3 + 1308363*u**2 + 70*u + 1192822413 wrt u?\nAnswer: -3*u**2 + 2616726*u + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-16)\/4)\/(-8) - 146\/4. Let n = 40 + l. Suppose -2*c - 5*u = -n*c + 55, -3*u + 45 = 4*c. Solve 3*y + y - 5*j - 24 = 0, -3*j = -3*y + c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -4. Let f be 2 + (-1 - z) + 11. Suppose -4*q + f = 1. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 22.05217 and -12?\nAnswer: -264.62604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 70.346952s to hours.\nAnswer: 0.01954082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -242 + 319. What is the remainder when h is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16614.\nAnswer: 2, 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (157 - 140 - (0 + 23)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3*((-35)\/(-7))\/10*2\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 2*i**2 + 2*i - 3. Let u be f(-3). Suppose -5*g + 2*g + 6 = u. Put g, -0.4, -2\/19 in descending order.\nAnswer: g, -2\/19, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -838369, -838368, -838367, -838366, -838365?\nAnswer: -838364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9296b (base 14) to base 7.\nAnswer: 3000264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 660688 and 1632.\nAnswer: 3964128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 175*x**4 + 295*x**3 - 210*x**2 - 220*x - 40 = 0.\nAnswer: -2, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 70\/429 and -58\/273.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 345 - 2411\/7. Let f = -1.756 + 1.8. Let s = f - -0.056. Put u, -5, 3\/4, s in decreasing order.\nAnswer: 3\/4, u, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2130122100 (base 4) to base 8\nAnswer: -2343220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = 6*y - 7*y. What is the remainder when 34 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105*a - 12770 = -12455 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001214 rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 72438 is divided by 7243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 132*x - 1714. Let d be j(13). Solve -d*p + 11 - 5 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -66 + 57.8. Let a = z - -80.2. Let r = a + -71.99886. Round r to 4 dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - -1. Let x be (-6)\/14*z\/6. Which is the smallest value?  (a) -0.5  (b) x  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - -1ca?\nAnswer: 1c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-10))\/(((-2)\/3)\/(29\/(38454\/(-85))))?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*m = 25 + 140. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2121375 (base 12) in base 14?\nAnswer: b90dbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139334 = 3191*o + 2107*o - 393*o + 213826 for o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the third derivative of 1\/24*a**6 + 31*a**2 - 5\/6*a**4 + 1\/3*a**5 + 0*a + 0 + 0*a**3 - 1\/42*a**7. Factor f(z).\nAnswer: -5*z*(z - 2)*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 211022202220 (base 3) to base 8.\nAnswer: 1532176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -3*l - 5. Let r(q) = 11*q - 1. Let k(b) = -62*b + 6. Let s(u) = 6*k(u) + 34*r(u). Determine -5*s(y) - 2*w(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2 - 8. Factor -v**d - 392 - v**2 - 12*v + 68*v.\nAnswer: -2*(v - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -83*a**2 + 5*a - 27. Let k(t) = -374*t**2 + 22*t - 121. Calculate 5*k(n) - 22*p(n).\nAnswer: -44*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c**5 - 5*c**4 - 2*c**3 - c**2. Suppose 35 = k + 11. Suppose 4*p + 0*p = -k. Let h(m) = m**3. Let t(i) = p*h(i) - g(i). Factor t(d).\nAnswer: -d**2*(d - 1)**2*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 1 - 1 - 2*v. Let n(i) = 41 - 3*i**2 - i**2 - 41. Calculate c(n(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(70))\/sqrt(10))**2*1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1952 + 165 - 513 + 925)*(-2*o**2 + 3*o**2 + o**2) to the form n*o**2 + p + w*o and give n.\nAnswer: 5058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -641, -640, -639, -638?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39 - s + 47 - 35*s - 86 + s.\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + (9 - 3) - -1) + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94 = -2*w + 58. Let m be (-4)\/w + ((-3818)\/(-180))\/(-23). Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 793596.1 meters in micrometers?\nAnswer: 793596100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-4\/15)\/v**19)**(2\/41) assuming v is positive.\nAnswer: v**(-578\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*p - 5428952 + 5428952.\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99 = z + 4*j, 5*j - 354 = -3*z + 7*z. Let n = -33 + 74. Calculate the remainder when n is divided by (-5 - -1) + (-8)\/28*z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - g - 88 = g, 4*g - 88 = -2*k. Suppose 56 = -2*n - 4*b, b = -n - n - k. Suppose 0 = 11*a - 8*a + 57. Are n and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 35 by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*b - 4. Let u be 102\/(-170)*(-20)\/6. Suppose 0 = m - k - b*k - 17, -u*m + 28 = -3*k. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j + 468 - 480 = 4*d, j - 8 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 557043 = 4*p, 3*z - 334217 = -12*p + 10*p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 0 + 1)*(3 + 1 - 6)*(5*v**2 - 3*v**2 + 0*v**2) to the form w*v + k + u*v**2 and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**2 - 10*x - 14. Let y be k(-11). Let h = 43 + y. What is the greatest common factor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.02, 2, -0.69, -92, 4, 0.2 in decreasing order.\nAnswer: 4, 2, 0.2, -0.02, -0.69, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2373819 tonnes in grams?\nAnswer: 237381.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*r - 304 - 502 = -1334 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 155485 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.59413 to 2 decimal places.\nAnswer: -3.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 32*u**3 + 2*u**2. Let c be a(2). Suppose -c = -3*r - 30. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(204\/(-1105)))\/(60\/(-36))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 8*w**2 + 22*w - 4. Calculate the least common multiple of a(8) and 6.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -1066988\nAnswer: 4267952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 7*t. Let z(f) be the third derivative of -f**4\/24 - 2*f**2 + 658*f. Determine -d(i) - 3*z(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 482269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4900 divide 91512400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 472 = 3*v, 0*v - 304 = -2*v - 4*g. What is the greatest common divisor of 32 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8547 - -8546. Let i = -5 + -2. Let f = i + 4. What is the nearest to f in 3\/7, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 4686 = -4688. Which is bigger: r or 12\/379?\nAnswer: 12\/379","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23785698 - 2012990 = -8*u. Let r(w) = w**3 + w**2 + 2. Let m be r(0). Suppose -u = m*y - 1104836. What is y rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24343?\nAnswer: 11, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 259226.2 years in millennia?\nAnswer: 259.2262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.08 - -0.057. Let o = y - -44.023. Let z = o - 43.99999895. What is z rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 944288705?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 255 - 238. Suppose -m = -2*x + x. What is the remainder when 74 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35.116 + -1.656. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.1, -1\/5, -2\/5, 0.05, 231, -0.124?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of 2*z**3\/33 + 2*z**2\/11 - 1. What is w in v(w) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/(-1) - (-4 + 4)\/1. Calculate the highest common factor of k and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 18 = -5*u. Let z be (-17208)\/26 + 9\/(351\/u). Let b = -15 - z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dydgedvgvjdjjj. What is prob of sequence egyj?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = -3*x - 2486 + 2492, 0 = -4*x + 5*u - 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 135 = -119 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 22*x**2 + 134*x + 613. Let v be h(-16). What is z in -8\/9*z + 2\/3*z**v + 16\/9*z**4 - 16\/9*z**2 + 2\/9*z**3 + 0 = 0?\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 28*c**3 - 212*c**2 + 595*c + 21. Let w(t) = 25*t**3 - 211*t**2 + 593*t + 18. Let d(a) = -6*w(a) + 5*x(a). Find the second derivative of d(n) wrt n.\nAnswer: -60*n + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 261 + -256. Let r(o) be the third derivative of 1\/12*o**4 - 7*o**2 + 0*o + 1\/60*o**t - 1\/2*o**3 + 0. Suppose r(c) = 0. What is c?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -257246*w - 5184 = -257102*w for w.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 5*t - 29 + 7 = 0, 27*m - 22*m + 30 = -5*t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.835749 kilograms?\nAnswer: 835749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**3 - v**2 - 4*v - 3. Let g(n) = -3*n**3 + 3*n + 2. Determine 3*g(o) + 2*x(o).\nAnswer: -3*o**3 - 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8 - 7. Suppose 2*w = -2*m + 1 + 5, -w - 3*m + s = 0. Solve 5*z + w*o = 4, 4*z - 3*o + 2 = -o for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n - 12 = 2*m, -6*m = -3*n - 8*m - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-2)\/v)\/v**(-2\/7))**(-16\/7)\/((v**(-1\/3)\/v**(1\/2))\/((v**4\/v*v)\/v**3)) assuming v is positive.\nAnswer: v**(2363\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -5*y, 2*p - 15 = -y + 6*y. Let q = 10584 + -10581. Put 1, y, -6, q in decreasing order.\nAnswer: q, 1, y, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2*y = -p - 12, -4*y = 2*p + 16. Let f(w) = -204*w**2 - 211*w**p + 414*w**2. Let v(i) = -2*i**2 - 74*i. Determine f(v(q)).\nAnswer: -4*q**4 - 296*q**3 - 5476*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3608, -3870, -4318, -4958, -5796, -6838?\nAnswer: -8090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 7 - 27)*(-3*t + 2 - 2).\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7728 is divided by 221.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 8:28 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23\/5 + -31\/10. Suppose -2*u + 490 = 4*z, 6*u = 5*z + 3*u - 607. Let s = 120 - z. Sort s, -3\/8, -5, v.\nAnswer: -5, s, -3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292 a factor of 39407695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 42*p + 87 - 297. Solve y = 4*f + p, 2*f - 3 = y - 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 7.932252 millilitres?\nAnswer: 0.007932252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23807?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, 4, 11, 20, 31, 44, 59?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 + 0.5. Let b(p) = p**2 - 3*p - 4. Let k be b(5). Let w(u) = -u**2 + 5*u + 8. Let v be w(k). What is the second smallest value in j, -3\/4, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/153270 and -131\/1170.\nAnswer: 153270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2)*(-3*v - 2*v + 0*v)*(0*v**3 + 7*v + 2*v**3 + 1 + 0*v**3).\nAnswer: -20*v**4 - 70*v**2 - 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine quarters of a hour in seconds?\nAnswer: 44100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/b**(-1))**(7\/4)\/(b**(-2\/7)\/(b*b*b*b**(-3\/7)*b)))**(-24\/5))**(5\/14) assuming b is positive.\nAnswer: b**(-618\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 585859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**2 - 27 - 16 + 41 + 22*y)*(0*y - 3*y + 5*y).\nAnswer: -6*y**3 + 44*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - d = d + 180, 0 = -l + 5*d - 96. What is the common denominator of l\/(-90) + 12\/54 and 11\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 762298.\nAnswer: 2, 113, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 6)*((-6*w + 3*w + w)*(-2*w + 3*w + 2*w) + (0*w - 5*w + 3*w)*(-6 - 6*w + 6) - 4*w**2 - w**2 + 3*w**2 - 3*w**2 + 2*w**2 + 2*w**2).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 830*u = 1472*u + 3210 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 203 = -61*y + 81 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/2*-20*(-5)\/(-80).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187611 divided by 187611?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -603*k + 2 + 914*k + 319*k + (-4 - 2*k + 4)*(0 + 1 + 1) to the form o*k + c and give o.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*h + 10*h + 6*h + (91 - 91 - 2*h)*(2 + 7 - 3) to the form t + m*h and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 divided by -40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 125 divide 2565704125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 410545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1965010090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -0.29662.\nAnswer: 0.118648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1208, -1204, -1198, -1190, -1180, -1168?\n\"Answer: d**2 + d - 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 173\/1512 and -101\/2688.\nAnswer: 24192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*81\/(-30)*(-4390)\/(-1756)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 13*j - 2. Give v(-20).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/3)\/(((-6)\/2)\/27). Suppose -v*o + 3*a + 273 = -0*o, 3*o = -3*a + 273. Let x = 11 + 2. Calculate the greatest common factor of o and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 4. Sort 2, a, -2.\nAnswer: -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 PM and 12:30 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/5194 and -101\/1604946?\nAnswer: 1604946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - 1. Let p be 4\/2*8\/2. Let u be (3\/(-12))\/((-2)\/p). Sort w, u, 4 in descending order.\nAnswer: 4, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 - -53. Calculate the lowest common multiple of 34 and q.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2))**(-41)\/((f**(5\/2)\/f*f*f)\/(f\/(f\/(f\/(f\/f**(-2\/7)))))))**(-40) assuming f is positive.\nAnswer: f**(-21900\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -240, -376, -602, -918, -1324?\nAnswer: -1820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -22  (b) 15  (c) -332\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 7 + 3)*(-10*c - 7*c + 0*c)*(4 - 3 + 0)*(-c + 5 - 5).\nAnswer: -34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -0.02  (c) -40  (d) 0.6  (e) -0.1  (f) 1\/2  (g) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 348388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 12, 3*b + b + 48 = 5*a. Suppose 1 = i - a. Suppose 2*r + 5*v + i = 4*v, -5*v + 13 = -3*r. Which is smaller: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = 3*w + 6. Let j be w\/(-7) + 148\/28. Let t(h) = j*h + 2 + h**3 + 2 - 3 + 5*h**2 - 2*h**3. Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3 - -6*(-3)\/(72\/32). Put w, 1, -2, 5, -10 in descending order.\nAnswer: 5, 1, -2, w, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 977, 1\/11, -4 in ascending order.\nAnswer: -4, 1\/11, 0.4, 977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4 - -12) + -8 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 12912973 to the power of 1\/2, to the nearest integer?\nAnswer: 3593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199700426?\nAnswer: 2, 109, 916057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7776 - 8102. What is the third smallest value in 1\/6, z, -0.2, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.28 times 0.03\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h - h + 105. Suppose -2*x - h = -15. Let a(f) = -f + 3. Calculate a(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 248632*g - 5*g**3 - 6*g**3 + 9*g**3 + 4 - 1.\nAnswer: -2*g**3 + 248632*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 36\/(-27)*(-697)\/60. Let r = -155\/9 + j. Calculate the common denominator of -149\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 167434\/127 or 1317?\nAnswer: 167434\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2379660161 to the nearest integer?\nAnswer: 1335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7150.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(28\/(-150)) + (-2)\/(-7). Suppose 2*w = -p - 2 - 0, 3*p = -w - l. Solve 3*t + w = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 931769 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 3)*(-5 + 1 + 1)*(4*j - 4*j - 3*j).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2177883304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -1927*y**3 + y - 2*y**2 - y - 76*y**4 + 1927*y**3 - 1 as k*y**3 + s*y + o*y**4 + l*y**2 + c and give o.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-52*q + 3*q + 288*q)*(5 + 2 + 5 + 2*q) to m + r*q + n*q**2 and give r.\nAnswer: 2868","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*j**3 - 90*j**2 - 225*j.\nAnswer: -5*j*(j + 3)*(j + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -134 + 137. Let n(m) = -14*m**3 - m + 3*m**3 + 4*m**k + 2*m**3. What is n(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of 2*f**2 + 32*f - 18. Let w be n(-7). Solve 0 = -i + w*a + 4, 2*i + 2*a + 0*a - 8 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k. Let u(h) = h - 3. Let x = 8 - 11. Let o(y) = -2*y + 4*y - 4*y + 5 + y. Let i(m) = x*o(m) - 5*u(m). What is p(i(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12594334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 11 = -3*n - 1, r = -3*n + 2. Let y(l) be the third derivative of 0*l + 0 - 2*l**r + 0*l**3 + 0*l**4 - 1\/30*l**5. Let v(o) = 5*o. Give y(v(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 110723*k + 25199?\nAnswer: 110723","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 - 4. Let p be r(6). Let h = p + 72. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 + a**2 + 5*a**2)*(16*a**2 + a**3 - 16*a**2).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**2)\/(a\/a**(3\/4)))**34*a**(-5)\/(a*a\/a**(-2\/17))*a\/((((a\/a**(-6))\/a*a*a)\/a)\/a*a)*a*a**(-8)*a assuming a is positive.\nAnswer: a**(2529\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 2 t when three letters picked without replacement from rstt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 4:51 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 519 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 182*t + 404*t + 32*t - 120*t to the form h + j*t and give j.\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 236.3 from -0.6.\nAnswer: -236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1075)\/(-860)*(-32)\/(-10). Let p(t) = 27*t - 12. Determine p(s).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -1350*l**2 - 2. Let a(t) = 14636*t. What is f(a(k))?\nAnswer: -289186869600*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.5, 652, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 329.19 - 329. Let j = 2891\/2 - 1510. Let b = -62 - j. What is the nearest to -1\/4 in t, -1\/5, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3090 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 2*f**2 - 554122*f - 6649753. Determine x(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3 - 3 - s - 2 - 119*s**2 + 118*s**2 - 4*s. Let l(k) = -4*k**2 - 67*k + 11. Let p be l(-17). Calculate g(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (82\/12628*-1526)\/(7\/308*-4).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 139 - -9. Is 37 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, f: 5, i: 1, l: 1, h: 4}. What is prob of sequence ihg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes before 6:28 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2928 and 96144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 w when three letters picked without replacement from {m: 5, s: 3, k: 3, e: 2, w: 1, v: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4088 = -71*p + 1603 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15980 and 260145.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + (-22)\/6)*63 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in three eighths of a millisecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**2 + 5*v + 7. Let u be p(-3). Let t be (-92)\/(-20) - 6\/u. Let c = t - -2. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p**5\/4 - 15*p**4\/4 - 27*p**3\/4 + 147*p**2\/4 - 6*p - 45 = 0.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 11*c + 52. Determine i(-12).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 8*m**2 - 7*m - 4. Let f be w(7). Let c be (1 + f - -2) + 1. Solve -3*q + 8*q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8 = -s - g, -5*g + 5 = 0. Suppose -s*a = -4*a. Suppose -3*y - 1 + 37 = a. Calculate the remainder when 32 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3108 and 271136?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77) + sqrt(77)*2*-1 + sqrt(77))\/((-3*sqrt(28) + sqrt(28) + sqrt(28))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 666, 1598, 2536, 3480?\n\"Answer: 3*d**2 + 923*d - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 PM and 11:38 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*b + 11 = -77*b - 5, 3*f + b + 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6281 or 20791?\nAnswer: -6281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 2610, 2626, 2662, 2724, 2818?\n\"Answer: a**3 + 4*a**2 - 3*a + 2608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/h**(2\/5)))\/h**(2\/3))**(9\/8) assuming h is positive.\nAnswer: h**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -551926011*q**2 + 7713*q - 17542 wrt q.\nAnswer: -1103852022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/36 and 56\/549?\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-204*t + 248 - 248)*(0*t - 5*t + 3*t + (1 + 1 - 3)*(3 - 3 - t)).\nAnswer: 204*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(24)\/(1*sqrt(12) + sqrt(12)).\nAnswer: -2 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1730 - 1730.06. Which is the third biggest value?  (a) x  (b) 301  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 33  (b) -0.25  (c) -0.3  (d) -20  (e) -1  (f) 0.3  (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 118881 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*h**5\/4 - 18265*h**4\/4 + 329845*h**3\/4 - 1999435*h**2\/4 + 1156120*h - 899395 = 0. What is h?\nAnswer: -3671, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1200887?\nAnswer: 1200887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r**4 - r**4 - 4*r**4)*(-619*r + 439 - 618*r + 1235*r + 119).\nAnswer: 2*r**5 - 558*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -14. Suppose l*h = -20 - 8. Which is the smallest value?  (a) -2\/9  (b) 0  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - d = -1468. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-360)\/252 + -1 + 10\/7. Suppose 0 = 4*r - 2*r - 72. Let t be r\/17 + (-4)\/2. What is the closest to b in 0.4, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 + -5)*((-468)\/(-21))\/(-2). Suppose 2*l + l - 58 = -5*t, 5*t - 2*l - j = 0. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 - 6*z**2 - 5*z - 10. Suppose -l = 8*q - 13*q + 36, 5*q = 4*l + 39. Calculate c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g + 10. Let o(w) = 2*w - 11. Let u(t) = -3*l(t) - 2*o(t). Let k be u(-12). Which is the biggest value?  (a) k  (b) 1  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -116.587971 rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1556 (base 11) to base 3\nAnswer: -2201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 9*k + 4. Let g(m) = -19*m - 8. Let u(i) = 13*f(i) + 6*g(i). Let j be 55\/(-10) - 3\/(-6). Determine u(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -116234 - 3?\nAnswer: -116240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 124 and 4526.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sd when two letters picked without replacement from ddsssssssdsdd?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -297535 + 297536. Let m = 0.1 - 0.1. What is the third smallest value in h, m, -7\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-64)\/(-48))\/(-3 + 4292\/1476). Which is bigger: -14 or a?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7515165?\nAnswer: 3, 5, 7, 19, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 95 + -92. Solve 4*v - 4*n + 2 + 2 = 0, -a*n = -4*v - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (((-1)\/(-1))\/12)\/((-12635)\/1150 - -11) and 22*22\/2040 - 2\/3.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15 or -1550\/113?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 326, 304, 270, 224, 166?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 12*x**4 - 52297252*x**3 - 139459396*x**2 - 122026988*x - 34864856 = 0.\nAnswer: -1, -2\/3, 4358107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - 7. Let n(p) = 3*p - 1. Suppose 5*u + 2 = -3. Let x be n(u). Sort -3, b, x in decreasing order.\nAnswer: b, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 6*v - 13. Determine a(-9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from wymhs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 83 - 83. Suppose c*k = 3*d + k + 3099004, 4*d + k = -4132004. Round d to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 272 + -293. Let v be j\/126 - (-19)\/6. Which is the closest to -2?  (a) 5  (b) -0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10803 + 35670. Suppose 19*m = -8*m + a. List the prime factors of m.\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 45*h - 1 - 87*h + 41*h - h**3. Calculate l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 divided by -11321.\nAnswer: 37\/11321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:48 AM and 11:54 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 25 + -12 - (-3 + -8 + 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*m - 25*m = -44 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - -12. Suppose -2*f + r + 1 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1955639*y**3 - 66658235?\nAnswer: -5866917*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -471\/11 - -43. Put -2\/9, u, 3\/2 in decreasing order.\nAnswer: 3\/2, u, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 8*j + 37. Let y be t(-4). Suppose 22 = -4*s + 5*s + 4*n, y*s - 14 = 4*n. Let l(k) = -7*k + 3 - 2*k - k**3 + 7*k**2 + k. Calculate l(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21\/2 at most as big as -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19960 - 19959.8. Put -2\/11, -13\/4, -4\/3, -0.3, t in decreasing order.\nAnswer: t, -2\/11, -0.3, -4\/3, -13\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -30 + 3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -x**4\/4 + 11*x**3\/3 - 9*x**2\/2 - 8*x - 10. Suppose -47*o = -41*o - 60. What is the least common multiple of m(10) and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -21*f. Let g(y) = 780*y**2. Calculate g(m(t)).\nAnswer: 343980*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**2 + 7*p - 2. Let r be n(5). Suppose -l + r + 9 = 0. What is the remainder when l is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -45263\nAnswer: 22631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 650092 is divided by 4306.\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -r**6\/5 - 7*r**4\/3 - r. Find the third derivative of g(u) wrt u.\nAnswer: -144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1, 0, -1, -2, -3?\n\"Answer: -c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.36 + -4.5. Let y = p - 1.87. Sort 2\/15, -0.1, y, -2\/13 in descending order.\nAnswer: 2\/15, y, -0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8, -7, -4, 1, 8, 17?\n\"Answer: a**2 - 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19593?\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -439, -494, -549, -604, -659, -714?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**3*q**2 + 119*b**2*q**3 + 60*b**2 - 5243*b*q**3 + q**3 + 2*q wrt b.\nAnswer: 18*b*q**2 + 238*q**3 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-17\/2)\/(n**(-1\/6)*n))\/(n**17*n**(-22)*n) assuming n is positive.\nAnswer: n**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -94\/5 in 50\/7, 0.1, -6.8, -1\/3?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.887242 grams to kilograms.\nAnswer: 0.002887242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n = -55*t + 54*t, -19 = -4*n - 5*t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the first derivative of -2*t**2 - 3*t + 135. Let o be (-3)\/8 - (-63)\/(-24). Let l be o*(21\/(-9) - -1). Calculate r(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/13, -3, -0.5, 15739, 0, -5?\nAnswer: 15739","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.3, 0.26, -0.2, 27?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*x - 1570 - 1790. Calculate the greatest common divisor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -2\/7*o**2 + 52\/7 + 22\/7*o = 0?\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 26165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -16*a**3 - 1. Let w be u(1). Let v = -27 - -57. Let y = w + v. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 (base 14) in base 6?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 21883*v**2 - 47989.\nAnswer: 43766*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -1\/3*s**3 - 45*s + 0*s**2 + 0. Determine m(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of 2\/11*x**5 + 6\/11*x**4 + 0*x**2 - 2 + 0*x + 8\/33*x**3. Factor s(b).\nAnswer: 2*b**2*(b + 2)*(5*b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*s = -51*s - 4, -6*s - 20 = -3*c - 2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -7*u**2 - 8*u**2 + 17*u**2. Let x(y) = 8*y**2 - 35*y**2 + 6*y**2 - 18*y**2. Calculate x(m(k)).\nAnswer: -156*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 2:24 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 8 + 3 + -5 + 2. Suppose -a*h - 5 = -3*m - 4*h, 5*m + 3*h = 18. Let n(b) = 27*b - 4. What is the remainder when n(m) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (10\/8)\/(2\/8). Suppose -2*u + 208 = -5*n - 23, -z*n - 15 = 0. Calculate the highest common factor of u and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 111, 10, -5, -2, 1 in ascending order.\nAnswer: -5, -2, 1, 10, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -7284.\nAnswer: 5\/7284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/8  (b) 0.5  (c) -0.1  (d) -5  (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -58\/237554345 and 16\/69868925?\nAnswer: 1187771725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 2*h**2 - 2*h. Let w be d(-2). Let u(f) be the third derivative of 0*f**3 + 0*f + 0 + 1\/12*f**w - 10*f**2. Let c(a) = -5*a. Give c(u(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 5*a - 335. Let k = -17154 - -17218. Are a and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*f*y**3 - 38*f*y**2 + 2*f*y + f - 2*y**3 + y**2 + 3*y - 348 wrt y?\nAnswer: 24*f*y - 76*f - 12*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 6 + 0*d - d + 3*d. Suppose 0 = -5*r - 3*j - 7, r - 2*j - 1 = -5. Let x be c(r). Solve v = -v + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38124893 is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.81 - -0.19. What is the third smallest value in d, 1\/4, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*v - 3*y, -4*v = v + 4*y - 46. Suppose v = -2*l, 0 = g - l - 4 + 2. Let k be 98\/10 - g\/5. Calculate the highest common divisor of k and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/8?  (a) 1\/4  (b) 4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = l + 8 - 5, -y - 1 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/(((-50)\/35)\/((-12)\/21)). Let t(m) be the first derivative of s*m**3 + 3\/10*m**2 + 3\/20*m**4 + 4 + 0*m. Let t(z) = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 60 = 4*s, 0 = -5*s + y + 14 + 50. Solve s*b - 8*b = 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 23, 4, -15, -34, -53, -72?\n\"Answer: -19*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -8. Let a = u - -14. Let i = a + 27. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 51, -5, 5 in decreasing order.\nAnswer: 51, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + -4 + -4*sqrt(72)*3)**2.\nAnswer: 1296*sqrt(2) + 10449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 3*d - 1. Let x(p) = -2. Let k(v) = -q(v) + x(v). What is k(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1685*t + 3 - 16 + 13.\nAnswer: -1685*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 731 divide 962033281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 - 12*o**2 - 11*o + 5. Let v be z(14). Calculate the greatest common divisor of 27 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (406\/5075)\/(12\/10)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -112, -223, -340, -463, -592, -727?\nAnswer: -868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1054066?\nAnswer: 2, 13, 71, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -177, -4\/3, 0, -2, 2, 1\/3 in descending order.\nAnswer: 2, 1\/3, 0, -4\/3, -2, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -46544190.80999934 - -46544190. Let j = g + 0.81. Let m = j - 0. Round m to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 670775.6 plus 8997705?\nAnswer: 9668480.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 11:05 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 104315 (base 7) to base 4.\nAnswer: 10132202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38485503 and 20223.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10 + (-1712)\/(-176))*-11. Solve -3*w + 16 = -2*c - 6*w, -6 = m*w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 715745452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(12\/774))\/(636\/(-424)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*u + 2*v = -38*u - 1208, 0 = -u + 5*v + 636. Calculate the greatest common divisor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -14*k + 17. Let z(h) = 30*h - 34. Give 9*g(f) + 4*z(f).\nAnswer: -6*f + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*6*1\/24?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*c - 272 = 0, -5*x + 5*c + 1417 = c. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -11*d**2. Suppose -3*h = -5*v + 20, 0 = v - 4*h - 0*h - 21. Let w = -1073 - -1549. Let m(q) = -v + w*q**2 - 475*q**2 + 1. What is m(g(b))?\nAnswer: 121*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 385 + -385. What is the nearest to -0.2 in 0.2, -0.3, -3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + (-4 + sqrt(1584) + -4)*-6 + 2*(-2 + -2 + sqrt(1584) + sqrt(1584)).\nAnswer: -24*sqrt(11) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, y: 7, r: 3}. Give prob of picking 1 y and 3 u.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 AM and 11:19 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3247556 and 11552.\nAnswer: 1444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6826880.02 and 3.\nAnswer: -6826877.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 40639107 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.024, 1, -1 in descending order.\nAnswer: 1, -0.024, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 5:42 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, -1592 in ascending order.\nAnswer: -1592, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3 + c**2 + 0 + 2. Let g be (-2)\/((-7)\/(28\/8)). Let n(z) = 2*z**3 + z**2 + 2*z**2 - 3 + 0. Determine g*n(w) - 3*q(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/9  (b) -3\/166  (c) 5  (d) -2\/3  (e) 3\/5  (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 9, l: 2, k: 1, o: 1}. What is prob of sequence gkl?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 7*i - 3. Let h be u(5). Let j be 1 + (-2 - (21 + -2)). Let x be (-4)\/10*(0 + j). Calculate the greatest common divisor of h and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -3*o. Let h(x) = 1592*x**2 - x - 719. Determine j(h(k)).\nAnswer: -4776*k**2 + 3*k + 2157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 18 = 24. Suppose -12 = -3*g - 0*h - 3*h, 0 = -4*g + 2*h - m. Let p = 1 + g. What is the third smallest value in -0.1, p, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -3*j + 1. Suppose 2*u - 3 = 17. Suppose 5*w - 15 = 4*m, 40 = -5*w - 5*m + u. What is r(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of w**6\/120 + w**5\/20 + 5*w**4\/24 + 2*w**3\/3 + 4*w**2. Determine q(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o**3 + o**2 - o + 3. Give l(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-466)\/2330)\/((10\/2675)\/((-10)\/15*3))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from {q: 1, b: 2, f: 5, y: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -126*q**5 + 369*q**4 - 99*q**3 - 510*q**2 + 243*q + 159. Let f(n) = -2*n**5 - n**4 + n**3 + n**2 - 1. Let g(h) = 3*f(h) - u(h). Solve g(j) = 0 for j.\nAnswer: -1, -2\/5, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-28))\/((2 - 1)*1*3798\/311436)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 4*u = -64. Suppose -x + 2 + u = 0. Suppose 3*k - 6 = 0, -k + 5*k + x = 2*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (((-16)\/(-10))\/(-2))\/(5\/(-875)). Let m = 179 - r. What is the highest common factor of 273 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m - 9. Let t be r(11). Let q = 8 + -17. Let s = t + q. Which is the smallest value?  (a) 10  (b) s  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*q - p - 2 + 4, 5*p = 4*q + 24 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.9919 centuries?\nAnswer: 0.09919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bgmq when four letters picked without replacement from dbmgqdh?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 16  (b) 5  (c) -17  (d) 1  (e) 4  (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -56621, -56624, -56627?\n\"Answer: -3*v - 56618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -13328, -26644, -39950, -53240, -66508, -79748, -92954?\n\"Answer: d**3 - d**2 - 13320*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 4:56 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 6*w**2 - 1890*w - 6. Give n(315).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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 next in 2233, 2234, 2235, 2236, 2237, 2238?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p + 86 + 37. Let f = p - 27. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 280\/28943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.048 * 89.86.\nAnswer: -4.31328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + s = 0, y = -298*s + 302*s - 22 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 180 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 80894 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19293 divided by -34?\nAnswer: -19293\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-1)\/(-28))\/(-4*6\/28).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-4))**1 assuming r is positive.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (47\/(-5640)*6)\/(165\/(-88))\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -5  (b) -4  (c) -28  (d) -26\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the third derivative of g**5\/20 + 5*g**4\/24 - 17*g**3\/3 - 45*g**2. Is 24 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4828 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r\/((r**(-1)\/r)\/r))*r)**(11\/3)\/((r**(-3)\/r)\/(r\/(r*r**(-1\/3)*r)*r)))\/((r\/(r**4\/r))\/(r*r**4\/r)*(r**(-2\/7))**(5\/9)) assuming r is positive.\nAnswer: r**(199\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, g: 11}. Give prob of picking 2 g and 1 l.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 70*18\/1386*11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 117*c**5 - 852960*c**3 + 2*c - 286913384.\nAnswer: 2340*c**3 - 5117760*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1295580 divided by -6644\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 + 25. Suppose 0 = 4*t - t - r. Let l(u) = 2*u**2 - 6*u + 3. Is l(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-63 - -23) + (19 - -2 - (-11 - -18)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -19, -84, -193, -346, -543, -784, -1069?\n\"Answer: -22*a**2 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 2\/7, 0.5, 3\/5 in increasing order.\nAnswer: 2\/7, 0.4, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s**4 - 2780*s**3 - 17797888*s**2 = 0.\nAnswer: -2368, 0, 3758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -46563, -46562, -46561, -46560?\n\"Answer: c - 46564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xcxejjcccccccxeccj. Give prob of sequence cxx.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41285*b - 20625*b - 20619*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 6 - 54 = 0. Suppose 5*b + 8*p = 4*p + 48, -3*b - 4*p = -24. What is the greatest common factor of b and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(5\/2)\/c*c)**45*(c\/(c**(-2\/5)*c))**(-8))**(-1\/33) assuming c is positive.\nAnswer: c**(-1093\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.069 + 29.069. Let d = i - 30. Let t = -3 - 2. Which is the nearest to 1?  (a) d  (b) t  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 0 + 0 - 39\/(-3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -187*s + 1466599 = 418464. Calculate the highest common factor of s and 885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13500 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.7 - 0.8. Let p = -21 - -21.89. Let r = p + 0.11. Which is the second smallest value?  (a) 2\/5  (b) r  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 280 - 276. Differentiate 14 + j*n - 51 + 6*n + 104 with respect to n.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1299015 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -17*m - 7. Is 34 a factor of q(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q*(((q**3*q)\/q)\/q)\/q)*q**4*((q\/(q*q**(-3))*q)\/q)**(2\/5) assuming q is positive.\nAnswer: q**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9 + 17. Calculate the highest common factor of v and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of r*x - 15714*r + 8736*x + 4 wrt r?\nAnswer: x - 15714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 + 99 = -23*z + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13 + -27\/2. Let h = -16.96 - -19.96. Which is the biggest value?  (a) h  (b) u  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 465*p + 12 - 3 - 212*p.\nAnswer: -677*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f\/(f\/f**(6\/5)*f)))**(-1\/16)\/(f**(2\/55)\/(f*f\/f**(-17))))**(7\/11) assuming f is positive.\nAnswer: f**(29127\/2420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5 + -76c?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**3 + 6*p - 6*p**5 + 3 - 6*p**3 + 4*p**2 - 1 - 6*p**4 + 4*p**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.9 * 0.51.\nAnswer: 0.969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 110 and 22066.\nAnswer: 110330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27910 and 946970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -5*q**3 + 5865*q**2 - 1124260*q + 1118400 = 0.\nAnswer: 1, 240, 932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3069545117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2421+-2353.38\nAnswer: -4774.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11701 - 6538. What are the prime factors of f?\nAnswer: 3, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/24 and 14\/369?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 - 53.3. Suppose -11*k = -969 - 879. Let s = k + -1174\/7. What is the smallest value in b, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-10) + ((-36582)\/(-35035) - ((-144)\/88)\/(-6)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -7430 from -106578.8794.\nAnswer: -99148.8794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 - -32. Let i(z) be the third derivative of 1\/60*z**5 + 0 - 1\/4*z**4 + 0*z + 2*z**2 + 1\/6*z**a. Determine i(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**3 + n**2 + 2*n + 7. Give t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 7*r + 3. Determine d(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 151 - 148 = -3*x. Let s(l) = -1. Let m(z) = -z - 2. Determine x*m(h) + 4*s(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3056 and 139430.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 375, -5, 46053 in descending order.\nAnswer: 46053, 375, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12416 and 4268.\nAnswer: 136576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 81391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 81921*d**2 - 138934?\nAnswer: 163842*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j - 25 = -2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ykryr. What is prob of sequence ryrk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -1\/4, -9, 0.4, -29?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43.27 - -43.67. Which is the closest to 0.9?  (a) 3  (b) y  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6505)\/3903)\/(130\/(-12))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -223*y - 397*y = 961*y - 1581 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 9422 - 9421.8. Let v(g) = -g**3 + 10*g**2 - 9*g - 2. Let w be v(9). What is the second biggest value in w, m, 42?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 14*h**2 - 33*h - 16. Let d be t(-16). Let 3\/2*x**3 - 1\/2*x**5 + d - 1\/2*x**2 - x + 1\/2*x**4 = 0. What is x?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in eighteen fifths of a decade?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 22 - 2 = 0. Suppose -r*z = -30 - 0. Solve 5*u + j = -5, -2*j - 25 = -3*u + z*j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2. Let s(n) be the first derivative of -927*n**2\/2 + 7910. Determine h(s(o)).\nAnswer: -1718658*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -2*v**2 - 1. Suppose 0 = a + 2 + 1. Let w be h(a). Let d = w - -43. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 2) + (-4)\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 3*x + 5. Suppose u + 2*u = 6. Let g(y) = -2*y - 3. Let h(m) = u*k(m) + 5*g(m). Let o(d) = 11*d + 14. Calculate 17*h(b) + 6*o(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-35 - -52) + 2 + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 117 = -293. Let i(x) = -x + 1. Let g(c) = 9*c - 12. Give p*i(q) - 2*g(q).\nAnswer: 4*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271206909.\nAnswer: 3, 359, 83939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1575510226 to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 4842.045724 to the nearest one hundred.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 18, -27, -6, 3 in descending order.\nAnswer: 18, 3, -2, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/(-5) + (-46)\/(-10). Let w be 0\/((-8)\/z - -1). Solve w = 4*y - 5 - 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -36903867*r**3 - 12*r**2 + 2988701?\nAnswer: -221423202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12276*d + 17570 wrt d?\nAnswer: -12276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.07, 5\/14, 2, 2\/7?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*x + 33, -5*j = x - 0*j - 11. Suppose -2*b + x*b - 90 = 0. Suppose -b*o = -0*o - 1550. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4429, -5600, -7543, -10252, -13721, -17944, -22915, -28628?\nAnswer: -35077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203468 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-14 - -18 - -7) - (-2 + -14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 465769?\nAnswer: 29, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2150756 less than -4468591?\nAnswer: -6619347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 415*b - 440*b - 525 = 0 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - 11011?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211*z - 262*z + 542*z = 690 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (0 - -3) - (-46 - -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/19)*v**(-3))**(16\/7)\/(v**(-2\/13)\/v*v\/(v*v**(-1\/5)*v)*(v*v**(2\/5)*v)**(-44)) assuming v is positive.\nAnswer: v**(872603\/8645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 552419730*y**2 + 125133066*y wrt y?\nAnswer: 1104839460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -8698 * -0.133\nAnswer: 1156.834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -148878.7 to the nearest one hundred.\nAnswer: -148900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.0475 - 0.1604. What is a rounded to 2 decimal places?\nAnswer: 0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 21\/(-6)*(-96)\/28. Suppose 5*x + a + 3 = 0. Is x bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 638 divide 14539541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-196 - 17*p + 196)*(-2*p + 11*p + 0*p).\nAnswer: -153*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*i - 15*i = 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + sqrt(1700)*-1 + -1 - sqrt(1700)))**2 + -2 + -4.\nAnswer: 40*sqrt(17) + 6795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - 4 - (-1 - -2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 11 = 4*p. What is the units digit of (1030\/(-15))\/(p\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 + 3*u**2 - 4*u + 4. Let i be a(-4). Suppose -i*o + 4 = -20. Suppose -32000 = -o*q + 2*q. What is q rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -142.7897144 rounded to the nearest integer?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 8*t**2 - 8*t. Let m(u) = 16*u**2 - 17*u. Let a(k) = -4*m(k) + 7*x(k). Find the second derivative of a(b) wrt b.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y = -11*u + 49, -3*y + 29*u = 33*u - 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -248371, -248383, -248395, -248407, -248419, -248431?\nAnswer: -248443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/((s**(-22\/3)\/s)\/s)*s)\/s**8)**(-26))**(7\/8))**(-17) assuming s is positive.\nAnswer: s**(7735\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 85156439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 181.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 - (-33 - (-9 + -6)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 213 + y - 213. Let g be k(1). Solve 0 = -4*q + g + 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -209, -419, -629?\n\"Answer: -210*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)\/sqrt(63) + sqrt(119)\/(sqrt(7)*-2))*3.\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-110)*-253 + -20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9.8 - 12. Is 0.1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 8  (b) 609  (c) -0.055\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -14850 or -13590?\nAnswer: -14850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 71819531 greater than 71819531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000392892694 to 6 decimal places.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 PM and 10:16 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 87374081 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - y = 21, -14 = -2*b + 5*y - y. Suppose 158 = -b*q + 3000. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -107013.936 + 2?\nAnswer: -107011.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 15 - -2. Suppose 2*d - l = -1. Suppose 2*k - 11*a = -15*a + 4, -2*a = 0. Calculate the smallest common multiple of k and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*m**4 + 17*m**3 + 2*m**2 + 2965*m + 4151664?\nAnswer: 8*m**3 + 51*m**2 + 4*m + 2965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 221907 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -18*n**5\/11 - 356450*n**4\/11 + 1148754*n**3\/11 + 10798*n**2 - 1148736*n\/11 + 237672\/11 = 0.\nAnswer: -19806, -1, 2\/9, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37 - 37 + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 p, and 1 l when three letters picked without replacement from umdulamp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x - 4*x + x - 20103*x**3.\nAnswer: -20103*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -7985*b + 7698. Determine a(1).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -4\/455, 0.066, 0.1?\nAnswer: 0.066","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 3 - 3 + (1 + 1 + 1)*(5*s + 0*s - 4*s))*(-1 + 1 - 2*s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3003312 + -3322000?\nAnswer: -12331312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-4) + 4559\/94. Let j be (3 + -1)\/(2\/(-28)). Let d = j + t. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44 + (34 - 85842\/1102)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 - -15. Let a(n) be the third derivative of g*n - 2*n**2 + 0*n**3 - 1\/240*n**5 + 0 - 1\/48*n**4. Factor a(t).\nAnswer: -t*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**2 - 29*c - 13. Let x be p(-13). Suppose -4*v - v + x = 0. Calculate the common denominator of (-569)\/(-310) - 3 - (-22)\/341 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 40 + 19 - 3*b**2 - 1748*b**3 + 1747*b**3 + 4*b**2 + 17*b. Calculate the remainder when s(-4) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y + 6. Let k be g(0). Let v(p) = p**2 - 4*p - 4. Let a be v(k). Let o = 42 - a. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t + 5*f - 121 = -2*t, t - 4*f - 67 = 0. Suppose 0 = 3*o + 6*o - t. Let b(a) = a**3 - 7*a**2 - a + 6. Give b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.2 or -22211?\nAnswer: -22211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -0.8  (b) 2\/3  (c) -3  (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-350)\/196*140\/(-175)\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2599661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 19336115 a multiple of 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -112*q**3 + 5*q**2 + 3*q + 21. What are the prime factors of w(-5)?\nAnswer: 13, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -1  (c) 0.2643  (d) -1\/5  (e) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1697640 and 1176?\nAnswer: 11883480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13859752.\nAnswer: 2, 1732469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(6\/(-4)) - 31. Let u be 2\/(-7) + (-1100)\/(-28). Find the common denominator of (u\/g - -1)*4 and 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 54 and 120.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the first derivative of 16*h**3\/3 - 21*h**2\/2 - 254*h + 93. What is the thousands digit of d(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - u - 21. Determine x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from xzzpxxzxzxzzxpzzpxpp?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 47241.\nAnswer: 3, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put together 36514 and 250925.\nAnswer: 287439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 30*l**2 - 3306*l - 10089. Let k(p) = -7*p**2 + 827*p + 2522. Let g(u) = 2*d(u) + 9*k(u). Factor g(r).\nAnswer: -3*(r - 280)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -277*p - 72. Let b(d) = -138*d - 43. What is -3*a(n) + 5*b(n)?\nAnswer: 141*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**9\/((t\/t**(-1\/3))\/t))\/(t**3*t)**(5\/18))**39 assuming t is positive.\nAnswer: t**(884\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n\/(n*n**32))\/n)\/(n*n**(-9\/8)*n)*(n*n\/(n**(1\/11)*n))\/(n**(-43)*n))**(-5\/9) assuming n is positive.\nAnswer: n**(-4415\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m**2 - 375*m - 5064. Calculate g(-14).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -9 less than or equal to 694?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 5. Let c(d) = 2472*d**2 - 13. Calculate -c(n) + 3*g(n).\nAnswer: -2469*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the first derivative of r**4\/4 - 5*r**3\/3 - 10*r - 34. Determine f(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -138*v + 136*v - 5*h - 17, 4*h + 13 = -v. Are 1\/532 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -112*s = 10535 - 10647. Let d(t) = 25*t + 2. Give d(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39520 = 242*q - 223*q. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.2, 2, -8.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-8)\/28)\/(1\/(-21)). Suppose 5*j - m = 9, 3*m = s*m - 3. Let k(t) = -j + 15*t - 5*t - t. Give k(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33441 to the power of 1\/2, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 629 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 5*s. Let r(i) = -9*i. Let f(o) = 4*r(o) + 7*y(o). Let k(g) = -1199*g + 4 - 1198*g + 2394*g - 3. What is 2*f(b) - k(b)?\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (428\/(-4708))\/((-3)\/12)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 36394 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 the ninth root of 4300 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 2*l + 10, -8*l = -3*l - 3*x - 15. Suppose l = -19*n - 10*n + 1972957. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 20 = -v. Let y = 37 - 101\/3. Factor -34\/3*d**v + y*d**5 + 0 - 22\/3*d**2 + 14*d**3 + 4\/3*d.\nAnswer: 2*d*(d - 1)**3*(5*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-326*b + 191*b + 2896*b)*(0 - 3 + 1)*(3*b + 5*b - 5*b) in the form x*b + t + u*b**2 and give u.\nAnswer: -16566","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1129368.1 to the nearest one thousand.\nAnswer: -1129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -62*c**4 + 2*c**2 + 117*c - 92746.\nAnswer: -248*c**3 + 4*c + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -8594 or -1.19?\nAnswer: -8594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -53*g + 55*g - 60, -6 = -3*c. Solve -2*n - n = -5*y + 8, 5*y - g = -2*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 32.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-154*r - 180*r + 146*r)*(1 + 3 - 2) in the form s + h*r and give h.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00047499894 rounded to seven dps?\nAnswer: 0.000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 204102222 (base 5) in base 4?\nAnswer: 3032311103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1012 and 1150.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u**2\/8 + 60*u + 504 = 0.\nAnswer: -8, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 59\/5 of a tonne in kilograms?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 206 = -3*q - v, 40 = -2*q - v - 97. Let a = -55 - q. Solve 5*m + a = 5*g - 6, -2*g = m + 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 7258543.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 4 + 0 = 0. Suppose -5*j - 3*m - 6 = -3*j, -5*j = h*m + 1. Suppose 3*k + 3*v - 27 = 0, -3*v + 33 = j*k + k. Solve 0 + k = -3*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/7?  (a) -7\/12  (b) 0  (c) 2  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 3*f**2 + f - 2. Let y be n(1). Let x be (0 - (-4 - -3)) + 3. Suppose x*a = 7 + 9. What is the greatest common factor of y and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r - 5. Let u be n(-9). Suppose -u*y + 9 + 3 = 0. Suppose 5*d - y*m - 44 = 0, 5*m = -d - 13 + 5. Is 2 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (4*4*sqrt(153) + sqrt(153) - sqrt(153))\/(sqrt(54)\/sqrt(24)).\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-6384.\nAnswer: -638.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -721.2 + 738. Which is the third biggest value?  (a) -0.2  (b) k  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24 times -2\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*c + 1. Let j(k) = -5*k - 15. Let r be j(c). Solve 5 = 5*a - r for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3733 less than or equal to 3728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*h = -7*h - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 10, 0.5 in ascending order.\nAnswer: -1, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -524440 = -9*o - 13*o - 18*o. Is 13110 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1294158587.\nAnswer: 3907, 331241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + -1*sqrt(48))**2 + -4.\nAnswer: -8*sqrt(3) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.03 + -4.03. Let l be -1 - (-2 + (-10)\/(-14)). What is the nearest to 2 in 0.2, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 32\/5*(14 - 4). Let j = 124 - h. List 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 j = 5 - -6. Suppose 3*b - j = 19. Calculate the lowest common multiple of (-1)\/2 - (-205)\/b and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -9 - -7 - (-2 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 276 = 3*m, -4*m = z - m - 141. Suppose 0 = c - 170 + z. What is the greatest common divisor of c and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -341 + -3321?\nAnswer: -4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -53695 + 53701. Let w(n) = n**2 - 11*n + 2. Let x(j) = 3*j**2 - 34*j + 5. Let y(r) = 7*w(r) - 2*x(r). Determine y(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13980 rounded to the nearest one hundred?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -4, -28, -27, 0 in descending order.\nAnswer: 1, 0, -3, -4, -27, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -879, -1766, -2653?\nAnswer: -3540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -91251512 and -0.5?\nAnswer: 45625756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 - z**2 + 5*z**3 + 152*z**5 - 151*z**5 + z**4 - 5*z**4.\nAnswer: z**2*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 69*w - 66*w - 589, w = 4*x - 1143. What is the highest common factor of x and 410?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1.067  (b) -4\/3  (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-1\/11)\/((s*s**(-7))\/s))\/(s*(s\/(s\/(s*s*s*s**(-1\/14)*s))*s)\/s*s**(-2\/31)))**41)**(-3\/10) assuming s is positive.\nAnswer: s**(-1200849\/47740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 120410722*-0.2.\nAnswer: -24082144.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -405a52?\nAnswer: -405a4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 294 and 210?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2 + (-17)\/8)\/(33810\/(-2840) - -12) and -25\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.104 - 9653778393.\nAnswer: -9653778394.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 2\/11385955 and -39\/43266629.\nAnswer: 216333145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 2*w**2 + w. Let p be d(1). Let y = 3 - p. Solve -4 = -y*t + 7*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 41 - 45 - 50)*(a**2 + a**2 - a**2) in the form j + w*a + z*a**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -15360 < -15360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 26 and 286?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 582.5636759 to 2 dps.\nAnswer: 582.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 n, and 2 a when four letters picked without replacement from {a: 5, n: 2, d: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2087038*d*n**2 - 4*d*n - 5000177 wrt n.\nAnswer: -4174076*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30, 36, 42?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-5)*j**(-1)*j*j**(-4)*j\/(j\/(j**0*j)))\/((j\/((j\/(j**(1\/4)\/j*j))\/j))**(2\/5)\/((j*j**(-1\/5))\/(j*((j\/j**(2\/5))\/j)\/j*j*j))) assuming j is positive.\nAnswer: j**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1\/(0 + 3) + 73580\/849 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-10)\/35 - 4\/(-14). Suppose -3*o + 12 = -r*o. Sort 3, o, -2 in increasing order.\nAnswer: -2, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-216)\/(-1188))\/((-16)\/(-22))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 - 7*l - 7. Suppose 3*u = -4*g + 2*u + 18, -u = 2*g - 8. Suppose -2*z = 5 + g. What is w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4703178318 and 0.2.\nAnswer: 4703178318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -378519 - -378522. Suppose -2 = 2*s, -2*s - 3*s - 10 = -k. Solve k*l - j*y + 10 = 2*y, y - 12 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 602854741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*k**2 + 4*k**2 - 9*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/3)\/l)**22)**(-4\/7) assuming l is positive.\nAnswer: l**(88\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 12*t**2. Let g(o) = -o**2 + o + 1. Let z(y) = -10*y**2 + y + 1. Let p(j) = -g(j) + z(j). Give p(i(x)).\nAnswer: -1296*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of s**4\/12 + 63*s. Let n(h) = 7*h**2 - 7*h**2 - 44*h**2. Determine d(n(t)).\nAnswer: 1936*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m + 5. Let q be (-1)\/(-2) + 45\/6. Let g be u(q). Let a(y) = 5*y - 3. Let p be a(g). Let i(n) = 3*n. Let b(r) = -13*r. Give p*i(o) - 4*b(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 + 4*f - 12. Let o be v(4). Let z(y) = -y**3 + y**2 - 10. Let m be z(0). Let t = m - o. Which is the smallest value?  (a) -1\/2  (b) -3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sussssusss. What is prob of picking 2 s?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(4\/15)*z*z\/(z\/(z**(-2\/73)*z))*z*z**(-1)\/(z**(-23)*z) assuming z is positive.\nAnswer: z**(26542\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, u: 1, k: 9, l: 2}. What is prob of sequence lul?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2028 = 3*q + 4*l, 0 = 3*q + 16*l - 20*l - 2004. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1900.688 micrograms?\nAnswer: 0.000001900688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (20\/(-6))\/((-12)\/(-18)). Let t = 11 + s. Let j be (-12)\/10*(-10)\/t. Solve p - 5*y - 21 = 0, 0 = -j*y - 5 - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 144409389 to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-16)\/(-6)*-2)\/(26\/(-897)). Let h = q + -80. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 10:37 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 220025\/96 - 9167\/4. What is the common denominator of p and -79\/16?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = -3*x + 12, -5*n + 3 = -7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -6*o - 44. Let d be s(-10). Let f be 8\/d*(-34)\/(-19) + -1. Which is the smallest value?  (a) -0.2  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-504)*-8)\/((-1)\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12651580174.00000083 - 12651580032. Let d = 142 - w. Round d to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, h: 1, o: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**2 + k**2 - 4*k**2 - 3 - 4*k + 6*k**2. Determine i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = a - i - 27, -4 - 10 - 62 = 26*i + 4*i + 44 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1082*j + 58789 = 9017 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.04 + -0.04. Let b = 0.3 + 0.1. Let a = b - r. What is the nearest to 1 in a, 0, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -4*z - 24. Let d be x(-7). Let u = 22 + -21. Sort 0, -10, u, d in descending order.\nAnswer: d, u, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1674 + -1751. Which is greater: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 236 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 258258 = 1500*o + 822*o - 181*o + 1772*o for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p + 0*p + p)*(-3*p - 3*p + p) - 3*p**2 - 3*p**2 + p**2 to h*p + j + o*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -76, 38\/7 in decreasing order.\nAnswer: 38\/7, 0.1, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -174.47 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8331 - -8327. Let t be (-1)\/7*(0 - 2). What is the third biggest value in t, -2, b, -0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the first derivative of 17*v - 1\/3*v**3 + 17 + 0*v**2. Differentiate l(g) with respect to g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 2, b: 2, w: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x**4 - x**3 - x**2 + x. Let a(g) = -g**3 - g**2 + g. Let b(j) = 5*a(j) - p(j). What is f in b(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (-2 + sqrt(17) - sqrt(17)))*1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 5*t - 13, -3*t = 2*r + 4 - 25. Suppose -r*v + 304 = -v. Suppose v = 5*h + 4*o, -o + 2 = -2*o. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(672\/(-260)) + 414\/(-276).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -65175, -65300, -65511, -65808, -66191?\n\"Answer: -43*m**2 + 4*m - 65136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -261.216971 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 71739899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, t: 1, k: 3, i: 1, x: 1}. What is prob of picking 1 t and 1 u?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + 4 - (-4)\/(-1). Let p be ((-6)\/(-4))\/k*0. Suppose 2*i = -p*w - 2*w + 6, i + 2*w - 5 = 0. Calculate the highest common divisor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -358 + 3940\/11. Let s = -2.7 - 0.3. Let w = s - -3.4. Which is the closest to 2\/5?  (a) j  (b) -1\/5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6159 - -5.4?\nAnswer: -6153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-459*q + 211*q + 151*q)*(-q + 3*q - 3*q).\nAnswer: 97*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1ba3bb (base 16) to base 14\nAnswer: -3521ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the second derivative of 3\/2*j**3 + 0*j**2 + 0 + 6*j. Let l(k) = -2*k**2. Give l(i(z)).\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 19512.3 months in decades?\nAnswer: 162.6025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -23 - -27. Factor -f*j**2 + 20*j - 64 + 0*j**2 + 12*j.\nAnswer: -4*(j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = g**3 - 5*g**2 + 8*g - 12. Is x(5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 265882 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 - 1 = 4*x + 5*q, -q + 7 = 3*x. Let h(n) = n**2 - n - 5*n + 0*n + 2*n. What is the remainder when h(5) is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 3369124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6757 and 12815?\nAnswer: 371635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3884.1471ns in hours?\nAnswer: 0.00000000107892975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2.79 times -10.18\nAnswer: 28.4022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 1 - 5)*(4 - 2*b - 4)*(-5*b**2 + 0*b**2 + 6*b**2 + (2*b - b - 3*b)*(0*b + b + b) + b**2 - b**2 + b**2 + 4*b**2 + 0*b**2 + b - 2*b).\nAnswer: 48*b**3 - 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 2, -3.52, 0.3, -0.5 in ascending order.\nAnswer: -3.52, -0.5, 0.3, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - 4*n**2 - 6*n + 0*n)*(-7 - 5 - 26).\nAnswer: 152*n**2 + 38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 21\/4 of a minute?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**4 - 20*z**3 + 46*z**2 - 24*z.\nAnswer: -2*z*(z - 1)**2*(z + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t - 8 + 24. Calculate the common denominator of (-1)\/8*(-22)\/t and (2\/4)\/((-30)\/55).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 92.2?  (a) -4  (b) -0.3  (c) -0.5  (d) -0.0453\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83.79069 years to millennia.\nAnswer: 0.08379069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04989662798 to five dps.\nAnswer: -0.0499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -495611079*x**3 + 996761*x**2 - 206*x wrt x?\nAnswer: -2973666474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -5*o - 41. Calculate u(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1838272749.\nAnswer: 3, 149, 4112467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3\/(-12))\/(86 + -84). Let f = -5 + 9. Let y = -4.1 + f. Which is the nearest to 0.2?  (a) y  (b) u  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -56, 58, 240, 484, 784?\n\"Answer: -q**3 + 40*q**2 + q - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*o - 28*o + 130 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (58 + 0)\/(24514\/4900 - 5). What is v rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddsd. Give prob of picking 3 d.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -10, -3, -4, 4 in descending order.\nAnswer: 4, -2, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*w + 9. Suppose 0 = -4*i - w*l + 11, 2*i + 5*l + 35 = 6*i. Let -5*a**2 + 2*a**i - 4*a**3 + 2*a + 5*a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 4893588 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 16 = 3*u, -4*u = -5*o - 0*u + 124. Let i = o + -46. Let c = i - -29. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -14 - 50ec?\nAnswer: -5111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 66 + 813586*v**2 - 813571*v**2 - 65.\nAnswer: 15*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uoos when four letters picked without replacement from {o: 1, s: 3, y: 1, u: 1, n: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 35  (b) -5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5649219215 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.05  (b) -16  (c) 1\/6  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s - 6. Let a be (9 - 42\/4)*(-44)\/6. What is w(a)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -862848 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3180186 - 3180186 - 7851*w)*(2*w**2 + 1 - 1).\nAnswer: -15702*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 - 43. Suppose i*q - 3*q**2 + 2*q - 12*q + q = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = b - 3 + 13, 4*b + 5*u - 28 = 0. What is the nearest to -0.3 in b, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.616 + -0.3658?\nAnswer: -5.9818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 2\/9, -36, 1\/51, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/4*(-1 - (-6)\/6)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95389513438 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -1, -5\/6258, -0.7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i - 8. Let f be a(-4). Let j be f\/(-10) + (-660)\/(-25). What is the highest common divisor of 286 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -710\/11683 - -439654333\/186928. Let i = b + -2351. Find the common denominator of i and 59\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eenynnee. Give prob of picking 3 e and 1 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -33 in 5, -2\/3, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 6699.4 * -9\nAnswer: -60294.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - (-12 - -5)) + (-34)\/(-22)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 185\/772 + 2\/193. Which is the nearest to 2\/5?  (a) 5  (b) 2\/3  (c) 6\/5  (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - -4. Let t = 10.2 - l. Let h = t + 0.8012. Round h to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -3*k**2 - 620*k + 1247. What is q(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/(15\/(-21)) + -4 - 7. Is (-19)\/p*(17 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3108\/(-9))\/(-37) - 10. What is the closest to t in 0.4, 4, 0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-0.05.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 647359 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65562560.\nAnswer: 2, 5, 7, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -2, -5, 2, -4, -203 in decreasing order.\nAnswer: 5, 2, 1, -2, -4, -5, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 - 2*q**2 + 8*q + 9. What is u(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -2.8, 2\/77, 5, -0.5, -15 in descending order.\nAnswer: 5, 1\/7, 2\/77, -0.5, -2.8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -5, 3, 1, -4, 1147 in descending order.\nAnswer: 1147, 3, 1, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g + 0*g + 0*g)*(1 - g**4 - 1) + 567*g**2 + 589*g**2 - 1139*g**2 - g**5.\nAnswer: -2*g**5 + 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 486 a factor of 3172153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 1 - 1)*(-3*u + u + u)*(9 - 3 + 20) as b + v*u and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28229452.\nAnswer: 2, 17, 131, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 103 and -3368.\nAnswer: -346904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*z + 4*z + 3*z**3 - 3*z**4 + 177*z**2 - 167*z**2 - 4*z**3 as y*z**4 + u*z**3 + m + v*z**2 + r*z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 57, 59, 63, 69, 77?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 6*b - 21. What is the tens digit of w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2970\/550)\/(63\/210).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve c**4\/2 + 19*c**3\/8 - 73*c**2\/8 - 67*c\/8 + 21\/8 = 0 for c.\nAnswer: -7, -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - d - 18. Let h be c(6). Let l = h - 8. Suppose -r = -l*r + 6. Solve 0 = 2*q - q - r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (16\/6)\/(10\/15). Suppose 0*x = 3*m + j*x - 76, -3*m + 2*x = -88. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 136981 is divided by 354?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 630.369 kilograms to tonnes.\nAnswer: 0.630369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 401 = -5*j + 31, 3*j + 126 = 2*h. Calculate the smallest common multiple of h and 132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2891 divided by 6.\nAnswer: 2891\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -328 divided by -164?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 72 = -5*g + 57, 4*g - 114 = 3*b. What is the smallest common multiple of g and (-3)\/6 - (-49)\/2?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 4*o - 14, 63*o = 66*o - 5*y - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f - 20. Let r be v(12). Suppose -3*j - 5*m = -r, 3*m - 10 = -2*j + 7*m. Solve 0 = l + 1 - j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 2*x - 15, 25 = 378*d - 190*d - 187*d + 2*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3*o**2 + 15*o + 28. Give q(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -76?  (a) -0.2  (b) -2  (c) -32196  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-67 + 113 - 31)*(4 + 1 - 2)*(3 + 2*h - 3)*(0 + 5 - 3) to the form f*h + x and give f.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1184999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 16*k**2 - 24*k - 15. Let i be n(-17). What is the highest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 167167 and 1118733.\nAnswer: 14543529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 271*f - 84686. Give k(313).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5844935 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -2*q + 7, -5*q - 508*k = -504*k - 21. Solve -5*l = 7*y - 34, -y + 22 = -q*l + 10*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**3\/7 + 438*o**2\/7 + 612*o - 41040\/7 = 0. What is o?\nAnswer: -15, 6, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7\/6621 or 2423?\nAnswer: -7\/6621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*n = 129 - 162 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(2736)*1.\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + (-16)\/(-20) + (-12)\/15. Let o = -7 - -6.4. Let d = -1 - o. What is the second biggest value in d, t, -5\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 407 - 180. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21273 + -85093\/4. Which is the nearest to -1?  (a) p  (b) -54  (c) 8  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -864066.9313 - -864026. Let t = a + 41. Round t to three decimal places.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 - 0.1. Let t = -586 - -588. What is the closest to -0.1 in -3, o, t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x - 3. Let w be s(5). Suppose -a + w*a + 4*v + 17 = 0, 0 = 2*a - v + 25. Let i = a - -72. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, s: 5, r: 4}. Give prob of sequence rssg.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 51544180+0.3\nAnswer: 51544180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4\/7, 1.7, 42\/31, -30, 0.4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17846 + -17848. Is 0.214 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -111, -4, 0.5, -162, -2 in decreasing order.\nAnswer: 0.5, 0.4, -2, -4, -111, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -36a + -6898?\nAnswer: -6c35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 + 10*j. Let l = -19 - -12. Let o be d(l). Let p = -13 + o. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -0*a. Suppose 6*d - d - 160 = a. Suppose 2*g - 5*v - 14 = 0, 4*v = -g - g + d. What is the remainder when g is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 13*r = 27. Suppose -r*t + t = -6, 2*c - 2200 = 4*t. Suppose 365 = h - c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 646907 and 3326.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 986869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2812499597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -9*15\/9*(-6)\/(-72). Which is the closest to -1\/4?  (a) o  (b) 73  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262*j - 264*j - 3*v = -1, 4*v = -6*j + 28 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 60*a + 46*a - 40*a + 26*a + (-2 + 7 - 12)*(2 - 2*a - 2).\nAnswer: 106*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, w: 1, o: 1, a: 2}. What is prob of picking 1 o, 1 a, and 1 c?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kwmj when four letters picked without replacement from kwgwgwgjwgwmjggg.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -473, -1855, -4167, -7409, -11581, -16683?\nAnswer: -22715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*u**2 - 8148*u + 38160.\nAnswer: -2*(u + 318)*(13*u - 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3490318387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 4:19 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.75438 minutes in hours?\nAnswer: 0.212573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/(-21) - 4\/(504\/(-33)). Suppose 0 = -b + 3 + 6. Let k = -6 + b. What is the nearest to 0.06 in x, k, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-2)*8 - -6. Let y = i + -2. What is the highest common factor of 32 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2505 + 41 = -77*y. Solve 2*j + 3 = g - 4, 4*g + y = -4*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -174, -602, -1576, -3372, -6266, -10534, -16452, -24296?\nAnswer: -34342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15543513.99 rounded to the nearest one thousand?\nAnswer: -15544000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 211 divided by 1\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d - 3*m - 80, -2*m - 64 = -4*d. Suppose -2*i + 5*b + 14 = 3*b, i = 2*b + 6. Let c = d - i. What is the smallest common multiple of c and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - -2)\/(-2) - 0. Suppose 4*f + 125 = 145. Suppose -f*s + s + 6044 = h. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 325782 and 1494?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5633 - 428079\/76. Find the common denominator of -67\/8 and n.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3845 + -2728. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.789 - -0.041. Let k = -1.8 + d. Round k to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9322 and 632?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (143\/165)\/(-13)*3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 6203947*g. Let l(s) = -25*s - 3. What is l(h(y))?\nAnswer: -155098675*y - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002358161406 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q**4 + q**4 + 2*q**5 + 4*q**3 - 5*q + 0*q**5 + 6*q**2 + 0*q**2 - q**5 = 0. What is q?\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 135\/315 - 18\/(-56). Let f(g) be the third derivative of q*g**4 + 1\/20*g**5 - 8*g**2 + 0 + 9\/2*g**3 + 0*g. Factor f(r).\nAnswer: 3*(r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 44, 88, 132, 176, 220?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 0.011\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.1 and -1404.2?\nAnswer: 1544.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 10*c + 16*c = 1150489, -920360 = -4*a + 3*c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 8980, 9565, 10146, 10723, 11296, 11865, 12430?\n\"Answer: -2*w**2 + 591*w + 8391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/105 and -67\/40.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5712.93 - 5713. Which is the nearest to 4?  (a) y  (b) 0  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 6 = -0*t. Let k = 29 - 95. Let i = 71 + k. Solve i = t*y + c, y = -0*y + c - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-1)\/2)\/(2\/(-20)). Let y = -3 + 3.4. What is the nearest to -4 in h, 4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 2*x - 3. Let l = 444\/19 - 4376\/171. Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 6*o**5\/5 - o**4 + 9*o. What is the third derivative of n(x) wrt x?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14346567.\nAnswer: 3, 1594063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 507 and -0.161.\nAnswer: -81.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19996 + 28302. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2542752 by -436.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/720 and 77\/287424.\nAnswer: 1437120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 63\/1589884 and -73\/8?\nAnswer: 3179768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 18 - 4\/(-8)*6. Suppose 3*r - o = -6. Suppose 0 = i - r, 4*c - 151 = 4*i + i. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1381\/2072 + 1\/6216. Let -4\/3 - 4\/3*t**4 + 8\/3*t**2 + z*t**5 - 4\/3*t**3 + 2\/3*t = 0. Calculate t.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/2*-1437*(-1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 minutes before 11:54 AM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r*r**(-1\/12)*r*(r**7*r)\/r)\/(r**(2\/5)\/r)**(-2\/73))**(3\/14))**(-5) assuming r is positive.\nAnswer: r**(-5569\/584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - t - 6. Suppose 3 - 13 = -5*j - y, j - 13 = 2*y. Suppose 0*o + 5 = o - t*l, j*l - 9 = 0. Calculate the lowest common multiple of o and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 6*s**2 + 13*s + 358. Let t(k) = 4*k**2 + 9*k + 239. Calculate 5*o(b) - 7*t(b).\nAnswer: 2*b**2 + 2*b + 117","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -8670 and -8670 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1717, -1721, -1727, -1735, -1745, -1757, -1771?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8552026 * 1.\nAnswer: -8552026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**5\/8 + 5*w**4\/8 - 21*w**3\/4 - 45*w**2\/2 + 27*w = 0. What is w?\nAnswer: -6, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*m**4 - 115*m**3 + 55*m**2 + 115*m - 40 = 0 for m.\nAnswer: -8, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 8 = -2*w. Let g(h) = -h**3 + 2*h**2 + 3*h + 4. Let o be g(w). What is the tens digit of (-6*1)\/3 - o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4540930.\nAnswer: 2, 5, 83, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 - (7 + (12 - 16))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 1562.\nAnswer: 4686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 PM and 7:00 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -35*k**3 + 25*k**2. Let o(d) = -4*d**3 - 23*d**2 + 9*d. Let w(g) = -g**3 - 5*g**2 + 2*g. Let q(t) = 2*o(t) - 9*w(t). Calculate -25*q(b) - u(b).\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7224 = -8*d - 5*l + 7247, 2*d - 4*l = 32 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*b - 25*b - 56 + 11*b + 12*b in the form s*b + c and give c.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 33308*s + 67. Is a(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -6*h**2 - 8*h - 1. Suppose -3*i = -7*m + 63 - 36, 4*m - 4 = -4*i. Let x(u) = u**2 + u. Give i*y(k) - 14*x(k).\nAnswer: -2*k**2 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -15.89357 to 2 dps.\nAnswer: -15.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**3 - 12*m**2 + 11*m + 9. Let o be x(11). Suppose 11 = 4*r - o. Is r greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 11*r**3 - 282*r**2 - 1828*r - 31. Calculate l(31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 10, 1118.84 in increasing order.\nAnswer: 0.1, 10, 1118.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-2*24\/176)\/(53\/((-24910)\/47))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/18)\/(4\/18*6). Sort z, -0.4, 2\/15, -6\/13 in descending order.\nAnswer: 2\/15, -0.4, -6\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 13*w**2 - 14*w + 9. Let l be m(11). Let d = 142 - l. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1489065329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -43\/294 and 151\/252.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 - 6*d - 3. Let n be y(-5). Suppose n = -0*b + 3*b - f, -2*f = -4*b + 4. Solve j + j = b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -128 and -8?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g\/(g*g\/g**(-6\/23)*g))\/g)\/g*g\/(g\/(g*g\/g**(4\/17)*g)) assuming g is positive.\nAnswer: g**(197\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 823 is divided by 266.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1035991351 to the nearest integer?\nAnswer: 32187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -8*y**3 - 2*y**2 + 4*y + 5. Suppose -3*v = -5*r - 11, 4*v = -4*r + 3*r - 16. Is l(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 4. Let s be a(-4). Let k = 3 + s. Let c be (-11)\/(-2) - 1\/2. Solve k*i + 14 = c*d, -9 = -3*d - 0*i + 2*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13472\/7578*6\/4.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 1 - 8 - f**2 - 3*f + 3*f + 8*f. Let x(m) = m**2 - 2*m + 3. Let h be x(3). What is the units digit of u(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 85115871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1 and 0.044.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 32*q**4 - 1072*q**3 + 10098*q**2 - 29160*q.\nAnswer: 2*q*(q - 20)*(4*q - 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 39115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 2, -36, -90, -154, -222, -288, -346, -390?\n\"Answer: r**3 - 14*r**2 - 3*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -417780 - 1145964 - 1562952 = -24*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c + 3*n + 1, 4*n = -5*c + 16 - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 410 and 27164?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-6))\/((-98)\/147)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -284*u + 206*u - 156 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 + -15. Let f(h) = -8*h**d + 0*h**2 - 3*h + 0*h**3 - h**3 + 13*h + 12. Let x be f(-9). Solve -x*m - 7 = -1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -18, -12, 6, 42, 102, 192?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1631 and 68269?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 21647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2891*i**2 - 54196*i + 29167905.\nAnswer: -5782*i - 54196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vmdjadnmn. What is prob of picking 2 j and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-9)\/(-3) + (-2)\/2. Suppose n - 2*n = q - 62, -4*n - 112 = -p*q. Find the common denominator of -41\/16 and 18\/q*(-146)\/6.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.65 + -2.3. Let d = m - 5.35. Sort -4, d, 0.5 in descending order.\nAnswer: 0.5, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 22 - 20. Suppose -5*t + m*t = -81. What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/1007 and -63\/1060?\nAnswer: 20140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = -10*s + 3525. Calculate the remainder when s is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 483 and 10741.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -8. Suppose 3*u + 4*x + 1342 = 0, 7*u - 2*u - x + 2229 = f. List the prime factors of (-12)\/78 + u\/(-26).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31400 + 57920. List the prime factors of m.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 5) + -4 + -5 - -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -7*d + 3. Let n(u) = 20*u - 10. Let z(h) = -3*n(h) - 10*o(h). Let c(l) = 3*l. What is z(c(v))?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -47*t - 31. Suppose -5*l = -2*y + 273, 110 = -4*l + y - 109. Let x = l - -51. What is the tens digit of p(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 284809708.\nAnswer: 1993667956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6 - (-976)\/24)*(-6)\/(-8). Let n be (-2)\/(1 + (-5)\/3). Suppose n*q - 260 = -q. Calculate the highest common factor of u and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g**5\/9 + 1668*g**4 + 5021188*g**3\/9 + 5391164*g**2 - 63659144*g\/9 - 11908160 = 0 for g.\nAnswer: -3383, -360, -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = 7*b - 5. Calculate the highest common divisor of 15 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1748 in 1, 2, -0.3, 2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 - -0.4. Let i = -400\/3 - -92. Let d = i - -42. Which is the nearest to d?  (a) x  (b) -0.1  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 35\/1126849 and -79\/194?\nAnswer: 2253698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26, -2, -1, 2.\nAnswer: -26, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 - 4*h. Let y(d) = 3*d**2 - 32*d - 28. Let q(z) = 4*x(z) - y(z). Let q(b) = 0. Calculate b.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -56 + 16 - -26.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -2*d - 5*f + 2, -4*d = -3*f - 22. Differentiate z**4 - 4*z**d - 1 + 0*z**4 with respect to z.\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-24)\/(-20) - 0)\/((-9)\/6). Suppose 3*r - 5*r + 10 = 0. What is the second biggest value in b, r, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 - 13 = -i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 6 = -5. Which is the smallest value?  (a) y  (b) -0.4  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - ((-9 - 2 - 5) + -13)) + 4\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from mbfbsfk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2d4 - -1f?\nAnswer: 2f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-5))**5*b\/b**(-6\/11)*b*b*b*b\/b**23 assuming b is positive.\nAnswer: b**(-467\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2))\/(3\/(-30)). Let d = -45.951 + -0.049. Let k = d - -45.3. Which is the smallest value?  (a) t  (b) -2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*n - 1 = 56*n. Let r(i) = 2*i + 3. Let w be r(n). Solve 0*l - 2*l = 5*d - 16, -5*l + w*d = 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.046, 2\/3, 1\/3, 102 in descending order.\nAnswer: 102, 2\/3, 1\/3, 0.046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1325363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2 + 4 - 2 - 3 + 7*a**2. Let v be q(1). Suppose 0 = -u + 34 + v. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 25*k**3 - 14*k**2 - 5*k. Let s(w) = 12*w**3 - 8*w**2 - 3*w. Give -3*h(q) + 5*s(q).\nAnswer: -15*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zkkkykkkzkykykkkzk. What is prob of sequence zkz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7339, 29318, 65951, 117238, 183179, 263774?\nAnswer: 359023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19 - 632*p + 2*p**2 + 632*p to the form o + i*p + h*p**2 and give o.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*k + 27 - 5 + 93 + (-4 - 4 + 6)*(0*k - 3*k + k).\nAnswer: 6*k + 115","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -43443595501245 from -0.4.\nAnswer: 43443595501244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ymgmgnnnmn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 21*q + 2475 = 22*q, 990 = 2*c - q. What is the units digit of 6 - (-4 + c*-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-1 + ((sqrt(343)*-2 - sqrt(343))*-1)**2) - ((-3 + sqrt(448)*-1 + sqrt(448) + sqrt(448) - (sqrt(448) + 3*(0 + sqrt(448)) + sqrt(448)))*5)**2.\nAnswer: -188683 - 4800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*2*(sqrt(432) + 1 + -4) + -2 + 2)**2.\nAnswer: -18432*sqrt(3) + 112896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 2283*q - 333. Let v be x(9). Let o = -182156\/9 + v. Which is smaller: o or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 AM and 7:40 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 15*t**3 + 2*t - 23. Let c(v) = -30*v**3 - 5*v + 45. Let u(m) = -2*c(m) - 5*r(m). Find the first derivative of u(l) wrt l.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/21  (b) 1585  (c) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -18*j**2 + j - 2. Let l(x) = -73*x**2 + 5*x - 9. Calculate 9*b(u) - 2*l(u).\nAnswer: -16*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + 14?\nAnswer: f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 645927275 to the power of 1\/3, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of -q**5\/60 + 10*q**3\/3 + 3*q**2. Let r be i(0). Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45) + 2)**2 + 3*sqrt(20).\nAnswer: 18*sqrt(5) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 463789 is divided by 2917.\nAnswer: 2903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -672 = -124*s + 40*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 3*f + 50004, -7*k - 4*f + 16683 = -6*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f + 4*y, 10 = 2*y - 0*y. What is the derivative of -29*w**2 - 5*w**2 - 2 - f + 4*w**2 wrt w?\nAnswer: -60*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, i: 11}. What is prob of sequence yyi?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5007.085 litres in millilitres?\nAnswer: 5007085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1817\/7 + -260. Let o = 3.913 + -0.913. Which is the biggest value?  (a) o  (b) -2\/13  (c) -3  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*75\/(-30)*1\/5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/5 and 97\/50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 120388891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -10*a + 29. Determine d(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*g + 3. Let n = -0.053 + -0.047. Which is the fourth smallest value?  (a) -2\/9  (b) -0.05  (c) n  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1217*-0.25\nAnswer: -304.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of c**5\/20 + 7*c**4\/8 + 4*c**3 - 7*c**2\/4 - 49*c\/4 + 3. Factor m(b).\nAnswer: (b - 1)*(b + 1)*(b + 7)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10 and -793.\nAnswer: -783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -35707 at least as big as -35724?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 52 + -53. What are the prime factors of (2 - 1) + b\/1 + 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -940, -939, -938, -937, -936?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -984 * -0.4\nAnswer: 393.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*v - 10*v - 7*v)*(2754 - 2754 + 9*v)*(1 + 1 - 1).\nAnswer: -243*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z + 8. Let c be m(0). Suppose -3*b = 9, -29 + c = -2*x + 3*b. Is x < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-24 + 24 - 4*j)*(6 - 7 + 1 + 91*j) to the form o*j + u*j**2 + a and give u.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4 - 2. What is the units digit of (21\/u)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/4 + (-14)\/4. Let p(j) be the third derivative of 1\/24*j**4 + 7\/6*j**3 + 0 - 22*j**2 + 0*j. Give p(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 88815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 + 0 + 2)\/1. Solve -l + 0*l = c for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/15*(-180)\/(-18). Solve 7 = 3*w + 3*z - 2, s = -w + 2*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -16818, -4421, 16204, 45027, 82018, 127147, 180384, 241699?\n\"Answer: -5*u**3 + 4144*u**2 - 20957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 8505.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -154 + 153.99999976. What is o rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 172 - -4?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjejhjjjj.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163589 is divided by 572.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 4) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10658606 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5248*p + 869*p + 365*p + 14*p**2 - 2987*p.\nAnswer: 14*p**2 - 7001*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82 is divided by (4\/(4\/(-3)))\/(162\/(-1566))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11306217\/41 <= -275760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 97 and 8365183?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-38)\/4 - (-2)\/(-4). Let j = h + 8. What is the units digit of 3\/j*168\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qpqr when four letters picked without replacement from {p: 10, k: 1, q: 5, r: 1}.\nAnswer: 5\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 7:24 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**3 - 170*u**2 - 6826*u - 106. Calculate a(-65).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 x when two letters picked without replacement from {j: 1, k: 1, i: 1, x: 2, w: 1, u: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -964*h - 17 = -961*h - i, -5*i + 74 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f + 196 = -3*i, 3*i + 6*f - 9*f = -156. Let q = i + 64. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -510 divided by -85\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 76*s = 1053. Let j = -68 - -104. Calculate the remainder when j is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.72, 5, 0, -0.1, 1 in decreasing order.\nAnswer: 5, 1, 0, -0.1, -0.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5*(-40)\/25 + 40\/(-3))\/(8\/(-48)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 74 = 62. Let b be 10\/45 - t\/9. Let f = b + 11. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243096 = 84*v - 28*v - 94584. What is the greatest common divisor of 90 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the second derivative of 0*f**2 - 1\/8*f**3 + 0 + 12*f + 3\/8*f**4. Let a(k) = 0. Calculate k.\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3255, 7848, 12441, 17034, 21627, 26220?\n\"Answer: 4593*q - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15.59999805 - 15.6. What is n rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 3\/(-3*(-4)\/12). Suppose -k = -4*q - 6 + 17, -y*q + 13 = k. Find the second derivative of 26*i + i**k + 0*i**5 + 16*i**5 - 11*i wrt i.\nAnswer: 340*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(16\/7)*t)\/(t*t**2\/t*t)*(t**(-2\/45)\/t)**(2\/21) assuming t is positive.\nAnswer: t**(-457\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30 (base 13) to base 10.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200303 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179*m + 135*m + 396 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 65 = -9*y + 10*y, 30 = 3*h + 3*y. Let q be (-42)\/((-2)\/(-1))*(-25)\/h. What is the greatest common divisor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -685*b**2 - 12*b + 261. Let s(h) = -1375*h**2 - 26*h + 521. Let i(u) = 13*o(u) - 6*s(u). Differentiate i(r) with respect to r.\nAnswer: -1310*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + 0.9. Let p = -0.1 - g. Let v = 0.131 + -0.171. What is the biggest value in p, v, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -0*i. Suppose -3*p = -7*p - 4. Let y be p*-2*1\/6. Which is the closest to i?  (a) -3  (b) y  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**3 + 197*a**2 + 1279*a - 5. What is o(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -602*c + 597*c - 20, 4*f + 8 = 4*c for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-2))\/(-2)*(-2)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4526*j + 8182*j = -3201*j - 731814 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the third derivative of -1109*m**5\/60 - 9*m**4 + 51*m**2 + 8*m. Find the second derivative of g(x) wrt x.\nAnswer: -2218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1149 times 102?\nAnswer: -117198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -5*c**2 + 40*c + 1200 = 0.\nAnswer: -12, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 35236 to the power of 1\/2, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.54485 to two dps.\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**3 + 8*v**2 + v + 6. Suppose -7*u + 4 = 60. Let l be r(u). Let x = -2 - -1. Which is bigger: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - 7. Let n(p) = -p**2 - p. Let o(c) = c**2 - 2*c - 2. Let u = 63912 - 63911. Determine h*n(s) + u*o(s).\nAnswer: 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 948 - 950. What is the third biggest value in p, -2\/11, 4, -7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1718 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 135168 and 56976.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 401878, 803753, 1205628, 1607503, 2009378, 2411253?\n\"Answer: 401875*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -411*l - 244 = -167*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 248015b (base 13) to base 6\nAnswer: 1043351231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a millennium in months?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 441064, 441066, 441068, 441070, 441072?\n\"Answer: 2*m + 441062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 240\/(-432) + 20\/5 + -3\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 15*q**2 - 8)*(-2*q + 4*q + 1 - 3) in the form s + g*q**2 + d*q + z*q**3 and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 197, 210, 235, 278, 345, 442?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the third derivative of -1\/8*l**4 + 0*l + 3*l**2 + 0*l**3 + 0*l**6 + 0*l**5 + 0 + 2\/105*l**7. What is the second derivative of o(p) wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -571043397 from -4.\nAnswer: 571043393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*l = 24*l + 5. Does 3 divide -1 + l - 0 - (259 - 382)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 0.093, 1, -2\/9 in increasing order.\nAnswer: -2\/9, 0, 0.093, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-30)*-2)\/(8\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 o when three letters picked without replacement from {v: 7, o: 4, n: 4, t: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 - -2) + (-4 + -15 - (-2 + -15 - -11)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -24794890786 and 5.\nAnswer: -24794890781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.01 and -522.2217305.\nAnswer: -522.2317305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of -i**4\/12 - i**2. Let y be 9 + (-5)\/5 - 3. Let d(z) = z + 2*z + 7*z - y*z. Determine d(t(c)).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19986419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/2)\/((-9)\/(-12)*22348\/(-453)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -2*o - 16. Which is the nearest to 0?  (a) o  (b) -0.1  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 51472*o**3*w**2 - o**3*w - 2*o**3 + 85168*o**2 wrt w?\nAnswer: 102944*o**3*w - o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -495052520 at most as big as -495052521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, v: 4, g: 1, j: 1, k: 3}. Give prob of picking 3 k and 1 v.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the second derivative of -19*g**4\/12 + g**2\/2 + 7*g. Let v(b) = 2*b**2 + 6*b + 5. Let t be v(-2). Determine z(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12305 (base 6) in base 15?\nAnswer: -82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -37*u + 139. Let m = -4 + 6. Which is the closest to 1\/3?  (a) 0  (b) m  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-50)\/(-6))\/(7387197\/2462400 + -3). Round k to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 164805 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12916 divided by -2.\nAnswer: 6458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2393?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29642437\/81 - 365956. Let g = 35021\/468 - 1010\/13. Find the common denominator of g and m.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 790\/19 - 12941\/266. Let r = -567 + 3353\/6. Find the common denominator of v and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 2*o. Let l(i) = -2*i. Let j(r) = 3*r. Let v(q) = -6*j(q) - 7*l(q). What is w(v(t))?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyuzzyzzyuyyyu. Give prob of sequence uzz.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -85. Let q = 65.00149 + y. What is q rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 587 + 289 = 0. Let k = -131 + v. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 33804373?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 121 divided by -10\nAnswer: -121\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 - 14. Let s = l - -117. Let q = s - 73. Which is the closest to 6?  (a) 2\/3  (b) q  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + b = 15. Let s(c) = -c**3 + 20*c**2 - 75*c + 2. Let p be s(5). Solve -4*l + p*l + 2*w = -14, b*l - 11 = -w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 2*y + 2*h + 30, -5*y - 25 = 5*h. Let r = 15 + y. Factor 2*f**3 + 1 + 3*f**2 - f**5 - f - 2*f**2 + 0*f**r - 3*f**2 + f**4.\nAnswer: -(f - 1)**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the third derivative of 0*f + 0*f**5 + f**3 + 0*f**6 + 0 + 7*f**2 + 1\/105*f**7 + 0*f**4. What is the derivative of x(h) wrt h?\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 188676 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2\/12)\/((-8)\/18). Let h = -8.43 - -8.03. Put h, 11, t in descending order.\nAnswer: 11, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k - 2. Suppose 4*r - 119 = -u, 2*r + 2*r - 2*u = 122. Suppose 0*t = 5*t - r. Let l(h) = -2*h - 1 + 6*h - t. Calculate 4*l(g) - 14*v(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157 = 4*k - 3*y + 426 - 320, -4*y = -3*k + 47 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2402233 (base 5) in base 14?\nAnswer: -120ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 23555 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - 36 - (-63 + 66 + -2 + -12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2 - 2*d + 6 + 7*d - 1. Suppose 4*k - 23 = 1. Is v(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/3*((-8)\/6 + 31648\/120). Calculate the highest common divisor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 119, 9, -103, -217, -333, -451?\nAnswer: -571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -286 and -285 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3547\/395 - -741\/79. What is j in 0*j**2 + 4\/5*j**3 + k*j**5 + 0*j + 0 + 6\/5*j**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/54960 and -63\/2.\nAnswer: 54960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 - 6476499823699\nAnswer: -6476499823697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-3))\/(12\/(-36)). Suppose 3*g - 3 = w*g. Solve 20 = 7*d - g*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + t = 11, 4*w - 4*t = -29 + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -4  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 101\/64 and 47\/22.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -11*u + 6. Let r(f) = -26*f + 14. Let b(x) = -7*h(x) + 3*r(x). Let k(o) = 9*o + 2*o - 2*o. Give k(b(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 13768303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1198970260.\nAnswer: 2, 5, 31, 1933823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 21*c**3 - 5*c**2 - 11. Let b(i) = -11*i**3 + 3*i**2 + 6. Let l(v) = -11*b(v) - 6*z(v). Find the third derivative of l(j) wrt j.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (2 + -15 + 2 + -5 + -5 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 361494 and 1938?\nAnswer: 6145398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -120 - -131. Is m greater than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 68718273?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**2 - 9*d - 3. Calculate j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 2 k, and 1 s when four letters picked without replacement from {g: 1, s: 5, j: 5, h: 1, k: 5}.\nAnswer: 25\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 115058 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -47 + 13?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 - 25*o**2 - 5*o + 83. Calculate x(25).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/(-2*sqrt(9)*4).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.5  (b) -4  (c) 0.3  (d) -0.199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 5*((sqrt(500)*2)**2 - sqrt(500)))*-1.\nAnswer: -10005 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 5*s - 7. Let o(l) = 2*l - 2. Let z(w) = -14*o(w) + 4*r(w). Let b(v) = 2*v**2 + 18*v + 27. Let a be b(-7). Calculate z(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, e: 1, r: 1, w: 2, o: 3, t: 1}. What is prob of picking 3 r and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10.06 + 10.0113. Let f = -2.9513 + j. Which is the smallest value?  (a) f  (b) 0.5  (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23259177 divided by -861451.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(2\/5)\/o)**(-19))**(-1\/6)\/(((o\/(o*o\/(o**(-2)*o*o)))\/o)**(-24)\/(o**(-5)*o\/(o**(-3\/7)\/o))) assuming o is positive.\nAnswer: o**(-3673\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30953*u**3 + 67390*u**3 - 22534*u**3.\nAnswer: 75809*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 126, 5, 4, 9 in ascending order.\nAnswer: -3, 4, 5, 9, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/14765764 and -27\/52.\nAnswer: 14765764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 67500000 rounded to the nearest 1000000?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*v + 3*v + 2*v + (2 - 2 - 2*v)*(1 + 2 - 1) - 5439*v + 1286 + 5440*v + 565 + 1 - 1 - v + (-3*v + 5*v - 4*v)*(-4 + 1 + 2).\nAnswer: -3*v + 1851","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.4435683 rounded to 3 dps?\nAnswer: -3.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*w + 5*w + 9*w)*(-14*w + 9*w - 13*w) - 3*w**2 - 2*w**2 + 4*w**2 + (-5*w + 4*w + 2*w)*(2*w - 6*w + 2*w).\nAnswer: -309*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)\/(sqrt(90) + sqrt(10)))\/(-2*sqrt(1089)))**2 + (-3*(4 + -6*(sqrt(2) + -1)))**2.\nAnswer: -1080*sqrt(2) + 5993857\/3872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29528\/663 - 775\/17. What is the common denominator of n and 19\/((-6384)\/(-350)) - (-2 - -1)*0?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - -81. Suppose -4*r + 4 = 0, 4*x + 3*r - t = r. Is 16 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 87, 10, -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from wwjwhhhwjjhwhhwhwj.\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/6*(-1 - 49\/2). Let i = -29 + 131. Calculate the greatest common divisor of i and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112bd1 (base 16) in base 4?\nAnswer: 10102233101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 591*k**3 + 595*k**3 - 1185*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 at least 329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2 = u. Let x(s) = 1 - 2 + 3 - 1 - 10*s. What is the units digit of x(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*t + 3*t - 9. Suppose -t*r - 2*w = -39, 2*w = 3*w. Let h = r - 8. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 4*v - 6, -2*v = -0*v - l - 13. Suppose 0*t + s = t - 15, 20 = -v*s. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-21)\/(-3))\/(3\/159 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by -366\nAnswer: -11\/366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m - 17. Let p be (75 + -70)*(-2 - -1). Calculate c(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 6*s**2 - 2*s - 6. Give o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f = -2*f. Let n = 9 - 8.8. Let d = -681 + 2047\/3. What is the closest to 0.2 in f, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**2 - 20*k - 1. Determine g(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-20))\/(6 - 9).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 9, h: 10}. Give prob of picking 2 z and 1 h.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddddrddddddddddddddd. What is prob of picking 1 r and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -122*(-3)\/12*2. Let z = 34 - s. Let j = -27 - z. Solve -10 = -2*m - j*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 12:32 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46*x + 92*x - 112 - 48*x)*(x**2 + 0*x**2 + 6*x - 4*x)*(-2 + 5 - 2).\nAnswer: -2*x**3 - 116*x**2 - 224*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1528 - -1528. Suppose 0 = 3*i - 5*c + 2, 9*i + 5*c - 44 = 5*i. Let v = -4 + i. Solve 3*g + v*g - 25 = o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of -i**4\/6 - 2*i**3\/3 + 1519*i**2. Calculate b(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 - -19. Let q = 0.16 - 0.19. What is the third smallest value in -1, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/28*288\/240\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119661?\nAnswer: 3, 39887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.24 * 18.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12934 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -4*b + 16. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1, 2\/49, -0.2, 17?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c + 2. Let n = -34 - -12. Let z = -18 - n. Give s(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22769487 and 819?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*n - n + 75. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -567410, -567478, -567498, -567446, -567298, -567030, -566618?\nAnswer: -566038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = 33*s + 72. What is the closest to 0 in -2\/5, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -6, -3*v - h - 11 = 9. Let c(a) = 9*a - 1. Let l(m) = -m. What is v*l(z) - c(z)?\nAnswer: -3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 134 + -57. Suppose -38 = -2*a + 5*x, -x + 19 = -4*a + j. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (33 + 1495\/(-26) + 22)\/(1\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide (-4 - 5)*15\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/3, 1, -0.08, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (400\/16 + -27).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*10\/240*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 249492 and 374238.\nAnswer: 748476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19*j**4*n + 3*j*k + j*n + k*n + 3*n wrt j.\nAnswer: -76*j**3*n + 3*k + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 8*n - 6. Determine i(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6880 + -6394. Let r(w) be the third derivative of -10*w**2 + q*w**3 + 1\/30*w**6 + 0 + 9\/5*w**5 + 0*w + 81\/2*w**4. Factor r(n).\nAnswer: 4*(n + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17647.\nAnswer: 7, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**3 - 5*o**2 + 7*o - 5. Let b be y(4). Suppose 0 = -m - 0 + b. Solve -v = 3*r - m*r + 9, -v = -3*r + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-15))\/((-6)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11732.5 - -11732. Let l = 271\/9 + -30. What is the second biggest value in l, k, -10\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/1 - 6\/5. Let y = 4.5 + -0.5. Let q = y - 3.6. Which is the third biggest value?  (a) z  (b) q  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 114264.6 + -1.20221176\nAnswer: 114263.39778824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 8*j**2 - j - 11. Let v be l(-8). Put v, -2\/49, -2\/5 in increasing order.\nAnswer: v, -2\/5, -2\/49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of 0*q - 7 - 12\/5*q**5 - 28\/3*q**3 - 8*q**4 - 4*q**2. Determine o, given that n(o) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (313 + -304 + (-14 - -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-6*(sqrt(85) + sqrt(85)*-1))\/(3*sqrt(45)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32028 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 61 = 3*l. Calculate the remainder when l + (0 - -3)\/3 is divided by -1*16*(-1)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120 = 32*h + 200 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 + 4 + m + (-43 - 15 + 23)*(-8 + 8 - 7*m).\nAnswer: 246*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-25 - -40) + 1 + -3 + -5 + 34?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*sqrt(3888) + (sqrt(27) - (sqrt(27)*2 - sqrt(27)))*-5))\/(sqrt(9)*-3*-5 - (sqrt(9) + sqrt(729)*-3 - sqrt(9))).\nAnswer: 6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 6. Let w be ((-4)\/(-14))\/(3\/42). Let m(k) = k - 7. Let a be m(w). Let b be h(a). Calculate the highest common divisor of b and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 + 5*c**3 + 0*c**3)*(-57*c - 59*c + 116*c + 423*c**2).\nAnswer: 2538*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39316 - (-5 + 9\/63*119)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {c: 1, f: 1, a: 1, l: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.3 + 1. Which is the closest to 1?  (a) -0.4  (b) 1\/4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 793134113 to the power of 1\/3, to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 divided by 1764?\nAnswer: -4\/441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -4*g**3 + 5*g**2 - 5*g. Let t(w) be the first derivative of -4*w**2 - 6 - 3\/2*w**4 + 0*w + 8\/3*w**3. Determine -8*i(j) + 5*t(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 60 = 5*a, 2*p - 5*p = -5*a - 60. Is 10 a factor of (-1141)\/(-28) + (-3)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y**3 + 2 + 0*y**3 + 0*y**3)*(28*y + y**2 - 28*y + 2*y - 2*y + y**2 + (2 - 2 + y)*(2*y + 0*y - y) - 5 + 5*y**2 + 5).\nAnswer: -32*y**5 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -713, 5, -51 in decreasing order.\nAnswer: 5, 1, -51, -713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccccccccccococccc. What is prob of sequence cc?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (83363 - 44652 - 27390)*(-5 + 5 + 2*r) to the form d + u*r and give u.\nAnswer: 22642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence idd when three letters picked without replacement from {d: 5, i: 2, w: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000003141 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h + 25500 = h. Suppose 1014*u = h*u - 47874. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -214.464823634 - 342382.235210366. Let b = -342597 - c. Let f = -0.3 - b. Round f to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.051?  (a) -4  (b) -0.4  (c) -1\/5  (d) 0.1  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**5\/((v\/(v\/v**(-3\/4)))\/v)*(v*(v*v*v**(1\/2))\/v)**(-14\/5)*(v**(-5)\/(v*v**(-1)*v))\/(v\/v**(2\/3)*v\/v**(2\/27)) assuming v is positive.\nAnswer: v**(-811\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192 = 2*u + 5*n, 117*n - 238*n = -22*u - 126*n + 112 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 2:07 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 1 = 5*y. Let a(q) be the first derivative of -3*q**2 - q**y + 3*q**2 - 23 + 16 + 5*q. Differentiate a(o) wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -164\/5 + 33. Let i = 8 - 8.2. Which is the closest to -0.1?  (a) -3  (b) i  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -1\/3, 0.267, 0, -2\/3?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 0, -1 in increasing order.\nAnswer: -5, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*c - 3*c + 316*c**3 + 36223 + 4*c**2 - 2*c**2 - 36246 wrt c?\nAnswer: 1896*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-84)\/22 + 4 - 3384\/(-22). Suppose s*q = 152*q + 8. Solve 0*f = 2*f - 2*g + 2, -f - q*g - 6 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*d = 79*d. Suppose 248*h - 251*h = d. Solve h = -0*o + 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h**2 + 0*h**2 - 5*h**2)*(4 - 13 + 12*h**2 + 7).\nAnswer: -24*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1248566 is divided by 35671.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 139033139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 845162?\nAnswer: 2, 422581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 43*n**2. Let v(t) = -37*t**2. Determine v(d(l)).\nAnswer: -68413*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(153)*-6)*3)**2.\nAnswer: 49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3919, 16506, 37459, 66772, 104439, 150454?\nAnswer: 204811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 119 + 57 = 0. Calculate the greatest common divisor of 154 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/10790849 and -10\/9.\nAnswer: 97117641","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1511930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.5, 48.5, 0.05, 5 in descending order.\nAnswer: 48.5, 5, 0.5, 0.05, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (22\/6 - 3) + (-28)\/6. Suppose -4*j + 21 = -3*v, 5*v = -j + 2*v + 24. Let p = y + j. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -42314991 and 2.\nAnswer: -42314989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of h**3\/2 + 8*h**2 + 263*h - 1. Calculate o(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 5*m**2 - 5*m + 4. Let f be j(-6). Let o(c) = -22*c - 1. List the prime factors of o(f).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.1 * -0.816869\nAnswer: 0.8985559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/7  (b) -3\/67  (c) -4  (d) -12  (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from rxjjqllsqlls?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/44 and ((-206)\/31 + 0)\/(-17 + 46 + 19).\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 0.01.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 8135 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 138 + 239. Let v = l - 377. Determine x so that 8\/7*x**2 + v + 24*x**4 + 68\/7*x**3 + 108\/7*x**5 + 0*x = 0.\nAnswer: -1, -1\/3, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 77, 87, 97, 107, 117, 127?\n\"Answer: 10*h + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 449.57407681807 + -0.4.\nAnswer: 449.17407681807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 295003\/72 + -4096. What is the common denominator of d and -47\/108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 396 divided by -1?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 10:44 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**2 + l. Let w be p(-2). Let i(k) be the second derivative of 1\/6*k**4 - w*k + 0*k**2 + 1\/10*k**5 + 0 + 0*k**3. Suppose i(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -188064 by -31344.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**3 - 8*l**2 + l - 4. Let x be i(8). Is 9 a factor of (0 + -1)\/(x\/(-164))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4640)\/1392*-18*(-1)\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -100000111101?\nAnswer: 100000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 141 + -137. Solve -5*y - s = 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 39583 in -0.1, -2, 0.1, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/2, 270, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/6)\/(1520\/524400).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 177866 - 126184. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/7 and -121\/67440.\nAnswer: 472080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*h + 116*h + 5*t - 2 = 0, 2*t = -3*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.004400181 to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -104 by 596.\nAnswer: -26\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) -11  (c) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14873354 * -4.\nAnswer: -59493416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 30*w - 22*w - w**2 - 21*w + 18. Let j be f(-15). Is -12 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*w**2 + 44*w**2 + 32 + 10*w**3 - 33*w**3.\nAnswer: -23*w**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -8860 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, 6, 0 in decreasing order.\nAnswer: 6, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -20, -0.4, 1.6, 15.9, 4\/7, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6 - (240\/50 + 2). What is the second biggest value in b, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l - 5 + 5)*(-l**3 + 2*l**3 + l**3) + 4*l**2 - 16*l**4 - 4*l**2 - l + l**4 + l + (0*l + l + 2*l)*(l - l + 2*l**3).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (930\/4340)\/(((-20)\/(-42))\/5).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 5197 = -r + 4*i, -2*i + 20878 = 4*r. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2882 and 5814435?\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1021 + -313332?\nAnswer: -312311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + -1. Let f = p - -7. Let g(s) = 12 + s + f*s - 5 - 2*s. Give g(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93 divided by 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vsxstxsttttbgvxvt. What is prob of sequence tsb?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of (-15)\/(-6) + (-2 - (-28)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1806, -3615, -5424, -7233, -9042?\nAnswer: -10851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 1 + t - t**2 - 6)*(3*t - t - 3*t).\nAnswer: t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10957841.\nAnswer: 751, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 23579*d**2 + 131*d + 1255271.\nAnswer: 47158*d + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 14213\/1624 + 25\/203. Calculate the common denominator of v and 97\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -465, -383, -39, 723, 2059, 4125, 7077?\nAnswer: 11071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2479*g + 2977*g + 3823*g.\nAnswer: 4321*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.298 * 2.\nAnswer: 2.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*(sqrt(325) + 1 + sqrt(325))*-1 - (3 + (1 + sqrt(325))*-4))**2 + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -69, -252, -601, -1152, -1941, -3004?\nAnswer: -4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -376*f + 88. Let u be 8*(-7)\/((-168)\/(-66)). Let b be s(u). What is b rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of -p**3\/3 + 4*p. Let n(m) = 7*m + 5*m - 3*m. Determine h(n(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r. Let s be f(1). Let t be 4 + (-3 - 2) + 3. Suppose -4*w = 5*j - 46, s - t = -w + 4*j. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 428*n**2 + 33*n - 3 wrt n?\nAnswer: 856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 96 and 1104?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 145*m + 60 + 24 - 29 + 28 + 3*m wrt m.\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -633 - -643. Let z = -87 - -167. What is the highest common factor of g and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23736 + 1.13\nAnswer: 23737.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1680 divided by 48\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -5\/59  (c) 24  (d) 1\/3  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35995 = 1437614*y - 1436049*y for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1217, 4909, 11061, 19667, 30721?\n\"Answer: -a**3 + 1236*a**2 - 9*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = u + d, 105 = -17*u - 4*d + 76 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*f)*(f + 0*f + 3*f + 4*f - 3 + 3 - 2*f + 1 - 1 + (-1 + f + 1)*(2 - 4 + 0) - 4*f - 3*f + 2*f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 75*d**5 - 645*d**4 + 1167*d**3\/4 + 591*d**2 - 1467*d\/4 + 54 = 0. Calculate d.\nAnswer: -1, 3\/10, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.2460144 - -0.0460424. Let s = 1.2 + p. Round s to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -21 - -51. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 79  (b) 1  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 456*x**2 - 318*x**2 + 696*x**2 - 197*x**2 + 730*x**2.\nAnswer: 1367*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*i - 27 - 12*i + i + 8*i in the form k + v*i and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of t**4\/6 + 2*t**3 + 6*t**2 - 42*t. List the prime factors of f(-8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 13650 and 265760.\nAnswer: 362762400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -169*p - 14. Let z(y) = -339*y - 34. Give -5*s(v) + 2*z(v).\nAnswer: 167*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -1718000 to the nearest ten thousand.\nAnswer: -1720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (21 + -44)\/((-150)\/275 - ((-17)\/(-11))\/(-1)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -2*v + 2. Let n be g(-5). Find the third derivative of -105*l**6 - n*l**2 + 87*l**6 - 8*l**2 wrt l.\nAnswer: -2160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 439054039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-76)\/152)\/(((-8)\/276)\/((-10)\/(-15)))?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 674*p*s**4 + 13*p + 10 wrt s.\nAnswer: 2696*p*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -359685.805 rounded to the nearest 100?\nAnswer: -359700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 PM and 1:49 AM?\nAnswer: 218","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let 1398*i**2\/5 + 184*i - 8\/5 = 0. What is i?\nAnswer: -2\/3, 2\/233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2\/(-6))\/((-21)\/27). Let g(r) be the first derivative of 1 + 2\/7*r + 2\/7*r**3 - i*r**2 - 1\/14*r**4. Find h, given that g(h) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -3*p - 160. Let j be (-3 - 82\/6)*(-24)\/p. Let c be 0\/((1\/(-2))\/(10\/j)). Which is bigger: -8\/15 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-714)\/63 + 9 - 526\/(-264))\/((-12)\/(-64)).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -33 (base 9) to base 8.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 - 448?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6807*z + 195 - 195 - 41610*z to u*z + i and give u.\nAnswer: -34803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11358446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 4*j - 3*j = 21, -5*p - 15 = j. Let v = p - -6. Suppose -3*h + 11 = t, -10*t + 5*t = -3*h - 19. Calculate the greatest common factor of v and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1794 + -1750. Which is the closest to h?  (a) 1\/4  (b) -2  (c) 3\/8  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-42))\/(171\/(-1197)*-1*2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.888684um in kilometers?\nAnswer: 0.000000000888684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z + 733 = 109. What is the second derivative of 0*p**2 + z*p - 34*p**3 - 46*p + 0*p**2 wrt p?\nAnswer: -204*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -111979*t - 125 - 111981*t + 223941*t. What is d(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j**2 + 3 - 24 + 11 + 13 + 2*j**3 to the form v*j**3 + f*j**2 + m*j + r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.6 - -2. Let q = -27 + 29. What is the second smallest value in u, q, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 15 = 3*y + 3*v, -4*y - 3*v = -20. Let r be (-153878)\/(-90) + (-1)\/y. Let w = r + -1712. Calculate the common denominator of w and 14\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15836 - 15831. Solve j = r - 3 + 10, 5*j = -3*r - m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u**3 - u**2 - 2*u + 33. Determine a(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 167*m - 1349.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/(-27)*3 - 728\/36. Let s be -1*(x\/25 + 1). Let l = 0 + 0.1. Is l less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**2 - d + 5 - 15 + d.\nAnswer: -6*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/(-6)*1\/4 and (6\/(-14) - 4596\/(-42))\/(66\/(-11)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1122 and 723.\nAnswer: 270402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -1871 + 33887*d - 67744*d + 33909*d. Determine p(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 25*v + 42 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1 - -21230610?\nAnswer: 21230607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 46 - 45.83. Put 3, -0.5, z in decreasing order.\nAnswer: 3, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((6\/28)\/(-3))\/(-10*9\/1080)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2 and 953807147?\nAnswer: 953807145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -6661 and 4?\nAnswer: -26644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -123400*f - 85639603. What is b(-694)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00179362 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 157737 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -63, -24, 63, 198?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*f + 5 - 7 - 2*f + 5*f**2 to z*f**2 + n*f + h and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**3 - 9*d - d**4 + 10*d + 0*d**3 to q*d**2 + i*d**4 + u + l*d + j*d**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 934.3879954 to two dps.\nAnswer: 934.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/((-41)\/(-3526)*-43)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-i**2 - i + i)*(-5 + 3 + 4) - 4*i + 4*i + 13*i**2 + i - 2*i**2 - i)*(-4 - 1 + 2) as n*i**2 + o + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12526094, 12526086, 12526064, 12526022, 12525954, 12525854, 12525716, 12525534?\nAnswer: 12525302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/5)\/(-2)*(-25)\/5. Let l be 12\/9*(-3 + v). Suppose 2*w = -2*s + 5*s - 14, 4*w - l*s = -20. Which is bigger: w or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -768 + 4703\/6. What is the common denominator of -1\/98 and l?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 - 105*n**2 + 106*n + 81. What is z(-106)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 11:46 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p. Let s(n) be the third derivative of n**4 + 28*n**2. What is s(d(v))?\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -706.5 and 221?\nAnswer: -156136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4636, -4563, -4404, -4123, -3684, -3051, -2188, -1059?\n\"Answer: 6*f**3 + 7*f**2 + 10*f - 4659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 3*m + 7, -3*c - 5*m = -2*m - 21. Suppose -c*p + 54 + 36 = 0. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 146, 341, 616, 971, 1406?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -0*h + 192. Is (8\/(-10))\/2 - h\/5 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5211184 divided by 1021.\nAnswer: -5104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12458 * -0.1039.\nAnswer: 1294.3862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 39 = -9. Let a(l) = -4*l + 0 + 3 - 1. Calculate the lowest common multiple of i and a(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 + 5*l - 6. Let a = 599 + -579. Suppose 8*x + a = 4*x. Determine i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 9*g**2 - 8*g - 6. Let s be r(-8). Let v = -2 - s. What is the second derivative of -5*j**4 + 2*j**4 + 2*j + v*j**4 - 4*j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1892018305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9\/(-6)*(-8)\/42. Suppose -3*f - 18 = -0*f. Let o be (2\/2)\/((-16)\/f). What is the third biggest value in 1, o, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*r + 10*r - 8*r + 2 + (2 - 2 + 2*r)*(2 + 0 - 1) - 4*r + r + 2*r as m + l*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22*x**2 + 586 + 301 + 35*x**2 + 16*x - 136 - 14*x**2 wrt x?\nAnswer: -2*x + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154*k**2 - 161*k**2 + 41*k**2 - k + 30*k**2.\nAnswer: -244*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from {i: 3, s: 6, v: 2, k: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1218250 and 25872.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h + 2*c = 14*h + 12, -26 = 5*h + 3*c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**2 + 858 - 1701 + 844 - 12*x**3 to t + m*x + l*x**3 + u*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -5*o**5 - 27520*o**4 + 30*o**3 + 165080*o**2 - 220145*o + 82560 = 0.\nAnswer: -5504, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(192)*-2*2)\/(2*sqrt(72)))\/((1*sqrt(200) + sqrt(200))*1*1).\nAnswer: -sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/1550 and 24\/1085?\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 + 2*f + 1. Suppose -3*n + 2*n + 3 = 0. Suppose 4*h = -n + 11. Determine g(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z - 5. Let x be r(5). Let i = 29 - x. What is the remainder when 56 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 5*z**2 + 2*z - 22. Suppose -15 = 64*i - 61*i. Let s(o) = -4*o**2 - 3*o + 21. Let h(x) = i*b(x) - 6*s(x). Suppose h(l) = 0. Calculate l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -515 - 1015 = -9*k. Suppose -660 = -3*n - v, 5*n - 930 = v + k. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 2:39 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4886 - -4886. Let o(f) be the second derivative of 0*f**4 + 0 - 1\/10*f**6 + 5*f + t*f**3 + 0*f**2 + 0*f**5. Find h such that o(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of 19*v**6\/4 + 233*v**5\/20 + 73*v**4\/24 - 28*v**3\/3 - v**2 - 31*v + 8. Solve c(m) = 0 for m.\nAnswer: -1, -2\/57, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2960*t**2 + 25*t. Let s(m) = -493*m**2 - 4*m. What is 25*s(c) + 4*x(c)?\nAnswer: -485*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -110111011 + -1011001011?\nAnswer: -1121112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 50\/13 and -163\/3276?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -528242 divided by -2?\nAnswer: 264121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23361884?\nAnswer: 2, 7, 13, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence opn when three letters picked without replacement from {k: 3, o: 4, x: 1, n: 1, p: 4}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n = 5*t + 44, 0 = 5*n + t + 23 + 1. What is the fourth biggest value in 2\/1037, 4, -5, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - j + 1. Let l(r) = 55*r**2 - 44*r + 44. Give -l(g) + 44*v(g).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t - 1. Let z be y(3). Find v such that -3\/4*v**z + 1\/4*v**3 + 3\/4*v - 1\/4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 33476 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 78*r**2 - 2*r**4 - 78*r**2 + 6 wrt r?\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence keen when four letters picked without replacement from {k: 8, n: 2, a: 1, w: 3, e: 5}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/7 + 1806142*r\/7.\nAnswer: -r*(r - 1806142)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 13*w**2 + 14*w - 23. Suppose 5*u + 4*l + 0*l = 72, -u - 2*l = -18. Let t be r(u). Is -0.1 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = 19 - 1. Let m(h) = h + 1. Let t(j) = 7000*j - 10. Let y(b) = m(b) + t(b). Let d be y(l). Round d to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 3569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/8)\/((-168)\/(-64))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1231188 is divided by 5447?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (-6 - -4) - 30\/(-2). Let m = a - 9. Let k(h) = 2*h**2 + 0*h**2 - m*h**2 - h**2. Let z(d) = -d. Give k(z(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*h + 0*h**5 + h - 5*h**5 - 4*h wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1877 or 2\/51?\nAnswer: 1877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of r**7\/3360 - r**5\/160 + r**4\/48 - 2*r**3\/3 - 3. Let o(u) be the third derivative of y(u). Factor o(n).\nAnswer: (n - 1)**2*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/8*p**4 - 9\/8*p**3 - 27\/8*p**2 + 0 - 27\/8*p = 0. Calculate p.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39183 is divided by 194?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3*t**3 + 25*t**2 + 64*t - 134. Determine a(-10).\nAnswer: -1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 18*(4\/22 - (-25)\/165). Suppose i + m = 6, 3*m - 14 = -5*i + w*m. Suppose i*b = 3*j - 1381, 2*b + 929 = 2*j + b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lol when three letters picked without replacement from {o: 5, l: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the second derivative of 0*s**4 + 0*s**3 + 0 - 34*s - 21\/2*s**2 - 3\/5*s**5. What is the derivative of x(h) wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 336817214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:24 PM and 11:56 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2\/57 - 181\/285. Let i = 70 + -52. Let m be 94\/i + 0 + -5. Which is the third smallest value?  (a) -0.2  (b) n  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xlx when three letters picked without replacement from xxxxxllxxxxxxxlxxx?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1537.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*x**3 - 7\/6*x**2 + 1\/6 + 1\/3*x.\nAnswer: (x - 1)**2*(4*x + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -454 and -9969923.\nAnswer: -9970377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 397864.\nAnswer: 2, 41, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-7 + 4 - -2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.36731 seconds in minutes?\nAnswer: 0.6227885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 782*x**2 + 20*x + 20. Let u be n(-1). Let k = -767 + u. Calculate the smallest common multiple of 3 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -32*y - 56*y - 17*y + 20 + 155 + 24 wrt y.\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.4 and -38446985.\nAnswer: -38446985.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o**2 - 25*o - 6. Calculate l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-897)\/(-273) - 3) + 6 + 404\/7?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -23, -2, -5 in increasing order.\nAnswer: -23, -5, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 488968 is divided by 4847?\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 47*y - 2444343 - 595006. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/9, -2851\/6, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - k**2 + k - 8. Let y be q(0). Let h = y + 13. Suppose -3*m + 16 = h*u, 0 = m + m - 3*u - 17. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, 5, 1\/70, -0.1, -36?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -307352151 divided by -8683\nAnswer: 35397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -10  (c) -1\/7  (d) -2\/101  (e) 15\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/1920*(-1000)\/1125?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5 - 9*g**3 + 2 - 4*g + 3*g**2 + 8*g**2 - g**2. Let k(z) = 4*z**3 - 5*z**2 + 2*z + 2. Let j(h) = -5*k(h) - 3*t(h). Is j(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -4*b - 5. Let p be k(-2). Solve -p*s - 4*s = -28 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + 72 - 132. Solve 24*d + 6 = k*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/8)\/15 - 144\/30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 599076?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-45) - 0)\/((-18)\/(-45)*1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) -2\/9  (b) 498  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -32 - 23*a + 9*a + 10 + 19 as q + o*a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 94 and 78866.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7424.4 and -1403.\nAnswer: -10416433.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2)\/(s*s**5*s))\/(s**(1\/3)\/s**(6\/5)) assuming s is positive.\nAnswer: s**(-122\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 + d - 1. Let o be y(0). What is the remainder when (12\/20 + o)*(-95)\/1 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 12*v**2 + 31*v + 3. Let r be n(8). Let k = -0.05 + -0.05. Let f = -0.6 - k. Which is the second biggest value?  (a) r  (b) f  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 137637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -147697442, -147697443, -147697444, -147697445, -147697446?\nAnswer: -147697447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -112 + 59.6. Let f = 52.3 + y. Which is the nearest to f?  (a) -3  (b) -2  (c) 21  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7128 - 7123. Let n(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - 2*h**3\/3 + 25*h**2\/2 + h. Let i be n(l). Solve -i*t + 4*t = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 991*z - 3004*z + 22528 = -1220*z - 1145*z for z.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34154286?\nAnswer: 2, 3, 19, 29, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 7*s**2 + 5*s - 8. Let a(i) = -3*i**2 - 2*i + 4. Calculate -5*a(r) - 2*j(r).\nAnswer: r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hajywyxh. Give prob of sequence yyx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4608149*j + 8060565 wrt j.\nAnswer: 4608149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = 4*d + l - 5, 0 = d + 4*l + 4. Solve 4*s - 3 - 13 = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 151968 and 67472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 200315 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p**4\/5 + 12302*p**3\/3 + 1582018*p**2\/15 + 2031562*p\/3 - 857506\/15 = 0.\nAnswer: -2537, -13, 1\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16275 - 3?\nAnswer: 16272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -749 times -639.2?\nAnswer: 478760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4235384 is divided by 399.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13699313 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32 divided by 20762.\nAnswer: -16\/10381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 + 29. Let a = 1 - 0.8. What is the nearest to -1 in f, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 8\/21  (b) -1  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1356765, 1356537, 1356309, 1356081, 1355853, 1355625?\nAnswer: 1355397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p - 42 = -9. Let a be ((-6)\/(-9))\/(2\/p). Put 5\/4, 2\/21, a in decreasing order.\nAnswer: 5\/4, 2\/21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 76979*j**3*v + 180*j**3 - 5*j*v**2 + 2192*j wrt v.\nAnswer: 76979*j**3 - 10*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1*(-1 + sqrt(605)).\nAnswer: -11*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59450 is divided by 19766.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(75) + (-2 + 1*sqrt(75))**2 + sqrt(75) + (sqrt(75) - (-4 + -1 + sqrt(75))**2))*4*1*-5 + 0.\nAnswer: -900*sqrt(3) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -11. Suppose f*v - 36 = 3*v. What is the least common multiple of v and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7\/(-6 - 264\/(-45)) + (-81)\/54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*k + 2*g, 2*k - 12 = 3*g - g. Suppose -4 = -k*m, -2*n + 3*m = 7*m - 14. Put -2, 0.4, n in increasing order.\nAnswer: -2, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-3) + 76*32. Suppose g - j = -5*u, -4*u + 960 = -g - 990. Let o = u + -1478\/3. Find the common denominator of o and -16\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 66, 79, 74, 45, -14?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 118 = -337. Suppose -4*x + z = 205. Let q = x - -70. Is 18 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 57184 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -230*u + 820*u - 1211 = -31 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 314503?\nAnswer: 3145030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6874*u - 11540*u = -23330 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -568, -1161, -1756, -2353?\n\"Answer: -v**2 - 590*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6067 + -6033. Calculate the remainder when 1699 is divided by n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -18*k**2 + 5. Let u be r(3). Let b = 777\/5 + u. What is the common denominator of b and -151\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*z + 3*z - 6920. Let h = 1034\/3 + z. What is the third smallest value in 0.054, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20214 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -14058?\nAnswer: 14053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of c*o**3 + 34574*c + 44*o**4 - 13*o wrt o.\nAnswer: 3*c*o**2 + 176*o**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -81, -324, -729, -1296?\n\"Answer: -81*y**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.7  (b) 3  (c) -225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -36420016 divided by 12?\nAnswer: -9105004\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 9, -4*a + 219 = -3*w - 2*w. What is the remainder when a is divided by (-243)\/(-27) + 0*(-1)\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6757?\nAnswer: 29, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 674 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15061 - 10212. What is the hundreds digit of (-5)\/(-10) + t\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25669421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 21613217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 317*y - 103*y + 8090 = -3466 for y.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v + 7. Let s be d(0). Solve -3*z = -s*z + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-50)\/20)\/(210\/504)*8\/(-936)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5*(2\/(-5) + 0). Let s = 0.8 + -0.8. Which is the closest to 0?  (a) h  (b) s  (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43114*v - 149 = -43153*v - 851 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -389 - 17*n + n + 897 - 507.\nAnswer: -16*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 - (-1 + 23) - (5 + 8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-4)\/(-38))\/(4 + 0). Let j = g + -29\/19. Which is the nearest to 0.1?  (a) -1  (b) 1\/5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -1. Let z(p) = p. Let o(k) be the first derivative of 1\/2*k**2 + k + 14. Calculate c*o(a) - z(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.852506 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1626858 and 357012?\nAnswer: 686534076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 96819407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 382493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n + 3*v - 44 = -8, 0 = -n + 2*v - 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 189087443 to the power of 1\/3, to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2332403 (base 5) in base 14?\nAnswer: 1188d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 3 + 375*t + 18 - 382*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4731610 + -18?\nAnswer: 4731581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of -x**6\/30 - 2*x**5\/25 + 2*x**3\/15 + x**2\/10 - 20. Factor q(i).\nAnswer: -i*(i - 1)*(i + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -75c (base 13) to base 11.\nAnswer: -a46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(1*(-5 + 3*sqrt(1700) + (-1 + sqrt(1700) - sqrt(1700) - sqrt(1700)) + 2) + 1))**2 + -3.\nAnswer: -4320*sqrt(17) + 245121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 331*h**5 - 54*h**2 - 65*h**2 + 106*h**2 + 4*h + 196*h**5 wrt h?\nAnswer: 31620*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (28 - 29)\/(1\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 901.2719 kilometers in centimeters?\nAnswer: 90127190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(110)\/(sqrt(5) + (sqrt(15)\/sqrt(3) - sqrt(5))))\/(sqrt(44)*1).\nAnswer: -4 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 - 21 = s. Let c(m) = m**2 + 14*m + 19. Let y be c(s). Which is bigger: -32 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2. Suppose 0 = n + 2*n - 6. Suppose -o - o = n. What is the common denominator of x(o) and 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o - 3 - 1 + o)*(o**3 + 0 + 0).\nAnswer: -2*o**4 - 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 262, 265, 272, 283, 298, 317, 340?\n\"Answer: 2*y**2 - 3*y + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -438*m + 403 = -35*y - 444*m, -2*y = 3*y - y + 2*m + 50 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 2. Let z = 25 + c. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 times -160246\nAnswer: -11217.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*d**3 - 102*d**3 + 57*d**2 - 22*d**2 + 25*d**2.\nAnswer: 14*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of x**6\/660 + 8*x**2. Factor z(a).\nAnswer: 2*a**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000687 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = -2, -3*n - 2*n = 2*w + 2 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v - 6*v + 2*v)*(-3 + 2 + 0)*(3 - 3 + 1).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**2 + 3689*y - 73380 = 0. What is y?\nAnswer: 20, 3669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -7, 58, 241, 602, 1201, 2098, 3353, 5026?\n\"Answer: 10*r**3 - r**2 - 2*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 6 = 4*y, -2*y = 8*u - 4*u - 10. Solve -w + y = -2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(-2) + 304\/96. Does q = -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 34*f + 5. Determine g(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 160, 247, 334, 421?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 9:34 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**1)\/a)**(13\/4))**(-6\/5) assuming a is positive.\nAnswer: a**(-39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 - -93248998.\nAnswer: 93248998.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 151005\/11396 + -2\/2849. Let g be 381*(-2)\/(-6)*-4. Let o = g + 4041\/8. Calculate the common denominator of o and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84002464?\nAnswer: 2, 7, 13, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5577 and 244959?\nAnswer: 3184467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-9)\/6)\/(6\/(-8)). Suppose -l = 5*h - 18, -3*h = -n*l - h. Factor 3 + 3*i**2 - l + 0.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 376 divide 245357167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 1:41 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*t - 2*t - 2650764*t**2 + 2650764*t**2 - 12*t**3.\nAnswer: -12*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 66517 + -44269. List the prime factors of d.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 644770 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in -115, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(1\/7)*j)**(-1\/3)*j**(-8)*j**4)**(15\/7))**(2\/67) assuming j is positive.\nAnswer: j**(-990\/3283)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5.85 + 5. Let s = o - 14.05. What is s rounded to 0 dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 9*f**2 - 18*f - 3. Let j(y) = 16*y**2 - 36*y - 5. Determine -3*j(q) + 5*t(q).\nAnswer: -3*q**2 + 18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((43 + -28)*6\/(-20))\/(-15)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4600 - 0?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-75)\/10 + (-56)\/(-40)*5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -970390, -1941387, -2912384, -3883381?\n\"Answer: -970997*m + 607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1033362*n*r**3 - 49*n + 3*r**3 + 93448 wrt r.\nAnswer: -3100086*n*r**2 + 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 11  (b) 5  (c) 2  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (56\/12)\/7 + 1400\/(-3675).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 10, 2, 0, 13 in descending order.\nAnswer: 13, 10, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d + 26. Let g be f(17). Suppose 6*c + 3513 = g*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23956.\nAnswer: 2, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/2624035339 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 133*c + 88*c = 428*c - 108*c - 9306 for c.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 121 and 24503710.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of r**6\/720 + r**5\/15 + 17*r**4\/12 + 4*r**2 - r - 13. Let b(s) be the third derivative of n(s). Calculate b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -122 = -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 2*k + 2*x, 2*k - 6*k + 4*x = 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -12  (b) 2\/11  (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36*p**2 - 50*p**2 - 173*p**2)*(-4*p - 8 + 8) - 3*p + 3*p + p**3.\nAnswer: 749*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 5*j**3 + 5*j**2 + 14*j - 88. Let q(u) = 12*u**3 + 11*u**2 + 27*u - 178. Calculate 4*q(s) - 9*y(s).\nAnswer: 3*s**3 - s**2 - 18*s + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.026, -10, 626?\nAnswer: 626","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*l + 93*l + 2254 = 108*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -434 (base 12) to base 11.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -271 + 265. Let j be 4\/(-54)*g - 1945\/(-180). Factor 1 + 13\/2*p**3 + 5\/4*p**4 + 7*p + j*p**2.\nAnswer: (p + 1)*(p + 2)**2*(5*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/1874901833 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10433 = -12*d - 9209. Solve g = -16*g + d for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30066 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 170 and 442?\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3803350 divided by 2.\nAnswer: -1901675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 532106 is divided by 88684.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4708 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -42867 to the nearest 100.\nAnswer: -42900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 91\/4 of a meter?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 987376?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 50 (base 9) to base 13.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1633*c**2*k + 1166*c**2 + 5*c*k**2 - 3 wrt k?\nAnswer: 1633*c**2 + 10*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 3*k - 3*o - 56, -2*o = 0. Suppose -5*r = -4*w - 62, -4*r = 2*w + 5 + 13. Let i = k + w. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 381455 by -76291.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192))**2 + sqrt(48) - (sqrt(3) + 0 + -3 + sqrt(3)).\nAnswer: 2*sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((1 + sqrt(1331) + sqrt(1331))*-5 + -2*sqrt(1331)*-3 + sqrt(1331))**2.\nAnswer: -48016 - 1320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqrryfqrll. What is prob of sequence yql?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 400 + 1252?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of 2*n + 110 - 27\/2*n**2 - 142\/3*n**3. What is the second derivative of g(j) wrt j?\nAnswer: -284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 8 = 2*y - 12, -5*y = -4*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -38*x**2 + 24463*x - 18645. Give t(643).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -2*u + 12. Let g be a(7). Let q be g\/8 - (30\/8 - 4). Let v be (-5)\/(-4) - 1\/4. Solve c + q*c + v = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12187 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -11*o**3 + 4*o**2 - 3*o. Let s(r) = 10*r**3 - 3*r**2 + 2*r. Give -4*a(x) - 6*s(x).\nAnswer: -16*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 518 + 2189 = 2*z, 5*m - 3*z = 2766. What is the lowest common multiple of 4 and m?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9123, 8558, 7549, 6096, 4199, 1858, -927?\nAnswer: -4156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**4\/6 - 397*c**3\/6 - 3133*c**2\/6 - 2729*c\/2 - 1167 = 0.\nAnswer: -389, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 875*o - 429*o - 400*o.\nAnswer: 46*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 4*o - 12, 0*v + 3*v - 14 = 2*o. Suppose 2*a + v*a = -66. Let d(i) = i**2 + 8*i - 6. What is the units digit of d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/30)\/((-130)\/585). Let s(v) be the first derivative of -3\/20*v**4 + 0*v + 1\/5*v**3 + 4 + q*v**2. Factor s(g).\nAnswer: -3*g*(g - 2)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(14*a**2 - 23 + 23) - 4*a**2 + 5*a**2 + 0*a**2.\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -18*l**5 + 590*l**4 + 10968*l**3 + 32*l**2 - 43584*l - 9568 = 0.\nAnswer: -13, -2, -2\/9, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 561264 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 5758, 2\/865 in decreasing order.\nAnswer: 5758, 2\/865, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 509326187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38692.28 meters to micrometers.\nAnswer: 38692280000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0 - ((-2)\/(-2) + -1047). Suppose -2*d = 3*d - 3*l - u, -217 = -d - 2*l. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/201612 and 7\/20.\nAnswer: 1008060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -40*((-9)\/(-6) - 1). Let c = 7 - a. Calculate the remainder when c is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-7)*h\/((h*h*(h*h**(-1)\/h*h)\/h*h)\/h))**(3\/5) assuming h is positive.\nAnswer: h**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h - h + 0*h)*(-2 + h + 2) + 2*h**2 - 2*h**2 + 2*h**2 - 3*h**2 + 2*h - 4*h + 10*h**2 - 3*h + 7*h**2 - 4*h**2 - h.\nAnswer: 14*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51864395 divided by 155.\nAnswer: -334609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ztzv when four letters picked without replacement from {z: 4, t: 1, v: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 30535.15 days?\nAnswer: 2638236960000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113 - -10202?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -227*o - 2513 + 264 = 1156 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -45144 by 1.\nAnswer: -45144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -5*f**5 - 55*f**4 - 95*f**3 + 215*f**2 + 100*f - 160 = 0.\nAnswer: -8, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) -36895518  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 81 - 87.4. Let n = 6 + d. Let l = n + 0.39984. Round l to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (31 + 92 - 32)*((3*a**3 + 2*a**3 - 4*a**3)*(2*a - 5 + 5) + 8*a**4 - 3*a**4 - 20*a**4) as n*a**3 + z*a + d*a**4 + s + t*a**2 and give d.\nAnswer: -1183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of -4*o**5\/5 + 29*o**4 - 36*o**3 - 58*o**2 + 112*o + 1266. Determine y, given that u(y) = 0.\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8343630 and 30.\nAnswer: 8343630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30335537, 60671070, 91006603, 121342136, 151677669?\nAnswer: 182013202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 107*i**3 + 5*i**2 + 5*i + 10. Let w(q) = 588*q**3 + 28*q**2 + 28*q + 56. Calculate 28*p(t) - 5*w(t).\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2921082.\nAnswer: 2, 3, 71, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -9*n + 10*n, n - 359 = 4*y. Suppose 4*h + 5 = 3*c, 0*h - h - 14 = -5*c. Let i be c + 0 + y\/(-6). What is the greatest common factor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the second derivative of 23*a**3\/2 - 92*a**2 - 7*a. Calculate the remainder when g(7) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8597592538 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13 + 21. Suppose -x*z + 40 = -3*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -520538*h**3 - 3*h**2 + 3666*h - 4.\nAnswer: -3123228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1865811910 to the nearest integer?\nAnswer: 1231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 20*s - 38. Let f be 58\/5 + (-24)\/40. What is the tens digit of v(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.2 and 3524.8.\nAnswer: 3525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1\/18)\/(1\/3). Let i = r + 1\/12. Which is the nearest to -0.01?  (a) i  (b) 2  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -142 + 3?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 - 6. What is the greatest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 28.3351 + 1.8528. Let s = -31.947 + w. Let g = s - -1.75. Round g to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**3)\/((d\/d**(-1\/6)*d)\/d)*(d\/(((d\/((((d\/(d*d**(2\/3)*d*d))\/d*d)\/d)\/d*d))\/d)\/d))\/(d**(1\/2)\/d) assuming d is positive.\nAnswer: d**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 11 = -5*c + 8, 0 = u + c - 1. Solve 1 = -u*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -2*sqrt(63))**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -7*h + 4*h. Suppose -4*c - 2 - 14 = 0. Sort h, -3, c in increasing order.\nAnswer: c, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of 3\/50*s**5 + 1\/210*s**7 + 0 + 0*s**2 + 1\/15*s**4 - 3*s + 1\/30*s**3 + 2\/75*s**6. Factor a(y).\nAnswer: y*(y + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 523294 or 8896014\/17?\nAnswer: 523294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -4*f, x = 5*x - 5132*f + 5124*f + 48 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63310 is divided by 20118?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 26.69737 weeks?\nAnswer: 16146569376000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -79, -167, -265, -379, -515, -679?\n\"Answer: -q**3 + q**2 - 84*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 - 10*m + 129. What is the remainder when 1412 is divided by u(6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -92358408, -184716816, -277075224?\n\"Answer: -92358408*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**13\/((f\/f**(3\/8))\/f))\/(f**(4\/3)\/f**(-10)) assuming f is positive.\nAnswer: f**(49\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = 15*k + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2. Let j(i) = 34506422*i. Give j(f(x)).\nAnswer: -34506422*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7885 greater than 7884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {m: 1, s: 1, d: 1, e: 1, l: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 91 - 85. Suppose -8 - 4 = -a*h. Calculate the lowest common multiple of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - -55 - 33 - -26?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -894.07 - -898. Round o to one dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * 0.609676.\nAnswer: 3.04838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -3*p. Let y(l) = 260*l + 18. Let d(c) = 74*c + 5. Let k(q) = 18*d(q) - 5*y(q). Determine 56*h(n) + 5*k(n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:22 PM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19174 - -19173.28. Which is the closest to p?  (a) -4  (b) 2\/9  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - 43 = -10*d + 2*s, -4*d = -2*d + 18*s - 36 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1, -1\/4, 10, -49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 2*i + 4, -85*i + 32 = -80*i - 2*f + 42 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(((o*o**3*o)\/o)\/o))**11)**48 assuming o is positive.\nAnswer: o**(-1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-54))\/((-2)\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*t - 1 + 6*t - 26*t**3 + 40*t**3 as f + b*t**2 + a*t**3 + u*t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**2 - 15*y - 10. Let d be n(-14). Suppose -5*a = -0*w - w + 75, d*w + a = 279. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 12*x + 70. Give l(-23).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of q**5\/5 + 19*q**4\/4 + 11*q**3\/3 + 2*q - 1. Find the third derivative of o(h) wrt h.\nAnswer: 24*h + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2733022 tonnes in milligrams?\nAnswer: 273302200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 10869 - 10869 - 2552*m in the form i*m + t and give i.\nAnswer: -2552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 5 = 4*h - 9*h, 4*c = 2*h + 2. Let j = -1 - h. Suppose -5*g - 235 = -5*z, j = -2*g + 3 + 1. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/28)\/((-6744)\/(-220304))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -572*y - 580*y + 1142*y - 70 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1016123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -21*h + 1782. Let u(x) = -44*x - 132. Let z be u(-3). Is 22 a factor of d(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -4\/5, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2903, 3034, 3163, 3290, 3415, 3538, 3659?\nAnswer: 3778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25314182, -50628369, -75942556, -101256743, -126570930, -151885117?\nAnswer: -177199304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1016156 by -4.\nAnswer: -254039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-20)\/(-8))\/(3\/6). Suppose 25 = -a*s, -4*s = -2*p - 7*s - 7. Suppose -3*f + 152 + 139 = -3*c, 0 = -5*f - p*c + 530. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 7202007, 14404003, 21605993, 28807977, 36009955, 43211927, 50413893?\n\"Answer: -3*j**2 + 7202005*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m**3 - m**3 + m**4 + 4*m**2 - 5*m**2 + 4*m**2 as h + i*m**2 + b*m**3 + y*m**4 + l*m and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of i**5 + i**4\/12 - i**2\/2 + 840*i. Suppose n = -n + 2. Give f(n).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90 = 215*j + 208*j - 413*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2701403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*z = -700*z - 21356 for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -29, -21, -23, -47, -105, -209, -371?\n\"Answer: -2*s**3 + 7*s**2 + s - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0746958 and -4.\nAnswer: 0.2987832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -7.69501 - 0.3\nAnswer: -7.99501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000406086051 to 6 dps.\nAnswer: -0.000406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 333744*p + 8 - 5 - 12 - 2.\nAnswer: 333744*p - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 + 91*a**2 - 1202*a + 204. Suppose 0 = -y + 30 + 116. What is the remainder when y is divided by n(75)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 21\/8 and 70\/1629?\nAnswer: 13032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 82613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2\/47))**14\/((m**(1\/27)*m)\/((m\/(((m**(-37)*m)\/m)\/m))\/m)) assuming m is positive.\nAnswer: m**(46150\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w*w**1))**0*(w\/w**(-2))**(-16\/11) assuming w is positive.\nAnswer: w**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 2\/5 - 6365\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -0.1  (b) -0.296  (c) -1\/3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/8670 and 43\/21675.\nAnswer: 43350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**29*d)**(2\/87)*(d\/(d\/(d\/d**26*d)))\/d**30 assuming d is positive.\nAnswer: d**(-1584\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1028 = -9*o + 1028. Suppose -2*t + 8 + 2 = 0. Let r be t - (-1)\/((-4)\/8). Solve -a = -o*a + r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gagaag. Give prob of sequence aagg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 0.041  (c) 3  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 2*c**3 + 23*c**2 + 6*c - 6. Calculate f(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/6*(-22 - -4)\/(-1). Suppose l*p - 112 = -2*p. Calculate the lowest common multiple of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.4  (b) 4  (c) 0.497  (d) -4  (e) -8  (f) -2\/15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1586045 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -23082 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2014)\/(-95) + -19 - (2 - 0). What is the closest to -0.13 in -2, n, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((60\/9)\/10 - 48) + (14\/(-3) - -4).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-4) - (-118)\/272. Let z = -1\/17 + q. Which is the nearest to 0?  (a) z  (b) -2\/15  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = k - 3*t - 123, t = -2*k + 403. Suppose 3*w + 21 - k = 0. Let n = 529\/10 - w. What is the common denominator of n and 13\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -10540 + 31?\nAnswer: -10507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 24\/32 - 441\/12. Let s be (b\/126)\/(0 - -2). Let q = 0 - 1. Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246 is divided by 80?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -1. Suppose q = -t + 40 - 0. Is ((-21)\/(-14))\/(6\/t) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/2027256961 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*r + 5*z + 24, 5*z - 2*z = -r - 12. Let g be (r\/8 - -2)*-4. What are the prime factors of -65*(g - -4)\/(-2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 + ((-144)\/12 - -21))\/14?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 33623.76005 to 1 dp.\nAnswer: 33623.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 577*f - 1151*f + 575*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 436547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15634161\/166 + -94181. Let v = s - -3\/415. Suppose 0 = -m - 3*f - 15, -2*m + f = -3*f - 20. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -5*v**3 - v**2 + 4*v + 4. What are the prime factors of n(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14982263 to the power of 1\/2, to the nearest integer?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, d: 2, k: 2}. Give prob of picking 1 k and 1 d.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14722*z**2 + 14722*z**2 + 6317 + 5627*z**3 wrt z?\nAnswer: 16881*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*r + 0 + (-5*r - 3*r + 6*r)*(-58 - 12 + 0) as f + j*r and give j.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001 (base 4) in base 15?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 + 66*y**2 + 72*y - 334. Let f be n(67). Which is greater: -1\/15514 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) 3\/83  (b) -10  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10408?\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4665711 and 5658?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 372  (b) -4\/7  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 272 + 4 = 4*k, 0 = 3*j + 5*k - 753. Let o = j + 496. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-80*a + 70 - 70)*(-21*a**2 + 9*a**2 - 24*a**2).\nAnswer: 2880*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69679 + 5029 - 25720 + 7952 = 5887*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2302113322 + 0?\nAnswer: 2302113322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 302, -619, -2158, -4315, -7090, -10483?\n\"Answer: -309*n**2 + 6*n + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115349 is divided by 1214?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 32231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from bbblgll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 36976 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 239524 + -170661. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 5, i: 1, b: 4}. What is prob of sequence il?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-3)\/o*(o*o**8*o)\/o)\/(o**(2\/17))**(3\/53))**22)**1 assuming o is positive.\nAnswer: o**(98978\/901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k\/(k**20\/k)*k))\/(k\/k**16) assuming k is positive.\nAnswer: k**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**4*o*o**(-17)*o**(2\/7)\/(o*o*o**(-5\/4)*o*o))**(-33) assuming o is positive.\nAnswer: o**(13365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5305\/6923 + -18\/301. Calculate the common denominator of y and 25\/11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -6*b. Let g(h) = -h + 3. Let l be g(5). Is 12 a factor of n(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 128*b + 1025. Give f(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 136\/(-5) - (-17536 - -17511)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -33 - 19505.\nAnswer: -19538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 9, e: 2, p: 2, i: 3, a: 1}. What is prob of sequence iii?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19985 + 19985. Sort 30, -3, j, 3 in descending order.\nAnswer: 30, 3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -103 - -91. Let r = 0 - i. Calculate the remainder when 23 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k**2*s*t + 2*k**2 + 15*k*s*t + 32*s*t + 22*s - 247843*t with respect to s.\nAnswer: -k**2*t + 15*k*t + 32*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6026 is divided by 85?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -8 + 1b3?\nAnswer: 1a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gatpptp. Give prob of sequence at.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -507*l**3 + 3*l**2 + 78*l + 463. Is v(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41859*f**3 - 328*f**3 - 6131*f**3.\nAnswer: -48318*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/4 in 2, 12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 4609 - 2305 - 43*l + 3*l - 2298 - 2*l**3 as o + b*l**3 + x*l**2 + v*l and give v.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 2 = 5*s. Suppose 0 = 5*j + 2*f - 24, -4*f = -2*f + 6. Let b(a) = 2*a - 1 + 2*a + 3. Let t(l) = -l - 1. Calculate j*t(v) + s*b(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(4\/17) - 320\/(-256). Let d(s) = -7*s**2 - 3. Let o(a) = -5*a**2 + 2 + 2 + 3*a**2 + 10*a**2. Give m*o(t) - 4*d(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4518711 + 3532059 = 546*d. Does 113 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3228*c**3*x - c**3*z**2 - 2*c**3*z - 8*c**2*x - 4182*c**2*z**2 + 5*c*x*z**2 + 7*z wrt x.\nAnswer: 3228*c**3 - 8*c**2 + 5*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does -3 = -83883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -k**3 + 6*k**2 + 697*k - 4175. Determine u(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + 1022?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 60\/315*3\/6?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -17 + 24 - (1 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12080749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 986 - 6?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o - 2*k + 182, -3*k + 2*k = o - 34. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*m + 17*m = -201. Let j = m + 146. List the prime factors of j.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 u when four letters picked without replacement from rurruvuvu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17009 - 16980. Solve h*v = 233 - 30 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 503?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 20, -6*n + 2*n - 8 = 3*d. Suppose 98*h + 55 = 109*h. Put 1, h, d in descending order.\nAnswer: h, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -514*n**2 - 13*n - 13. What is t(3)?\nAnswer: -4678","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 38424041713 take away -0.3?\nAnswer: 38424041713.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -42*h + 41. What is t(-3)?\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from atnnmtmmtmmnpanmt. What is prob of picking 2 t?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, -1, 22, 0, 2, 4, 88.\nAnswer: -34, -1, 0, 2, 4, 22, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmbmmbbmbbmmm. Give prob of sequence mbb.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -82. Let m = u - 73.99931. What is m rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.22 from -0.185.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00099115238 rounded to 5 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - 3b90aa0?\nAnswer: -3b90a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4598 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 173360*f**3 - 215887*f**2?\nAnswer: 1040160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 233 + -104. Let j = g + -105. What is the smallest common multiple of j and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -f**2 - 262*f - 13805. What is d(-186)?\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 0. Calculate the lowest common multiple of 6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37\/2 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*t - 193, 2*t = -3*x - x + 186. Let y = x + -38. Suppose 98 = -7*n + y*n. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k - 444. Let f(r) = -9*r - 881. What is -4*f(l) + 7*o(l)?\nAnswer: l + 416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5.89 and -232?\nAnswer: 226.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 9*n - 178. Suppose -873 - 286 = -61*y. What is b(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26.71 + -26.21. Let i = -33 - -36. Let j = 2\/7 - 15\/28. Put j, i, u, 1\/5 in descending order.\nAnswer: i, u, 1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8482\/5 greater than or equal to -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14640)\/(-854) - (0 - -18).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*w + 0*w - 33*w**2 - 4*w + 1 + w in the form a*w + b + d*w**2 and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - z = -0*z + 29, 2*d = 2*z - 38. Let u = -14 - d. Suppose 9 = -q - a, 30 = -u*q - 5*a - 0. What is the second biggest value in 4, 3\/5, q?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 20*t + 0 + 1\/36*t**4 + 0*t**2 + 0*t**3. Factor a(b).\nAnswer: b**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 482776390 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**2\/(f\/(f\/((f*f\/(f\/(f**(-1\/5)\/f)))\/f*f)))*(f*f\/f**13*f*f)**(3\/13) assuming f is positive.\nAnswer: f**(8\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 is divided by 50?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 14888701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -16*y**3 - 40*y**2 + 11*y - 21. Let h(i) = -3*i**3 - 8*i**2 + 2*i - 4. Calculate -11*h(n) + 2*k(n).\nAnswer: n**3 + 8*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*-1 - (906\/(-14) + (-814)\/2849)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -270604*d**4 - 106622*d?\nAnswer: -3247248*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (-13 - -27) - (1 + 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 48 + -32. What is the greatest common divisor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ool when three letters picked without replacement from mllolllfmllfol?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**4 + a**3 - 14587665*a**2 - 337410017 wrt a?\nAnswer: -4*a**3 + 3*a**2 - 29175330*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 70052806 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 126056 - 126056 + 236*m.\nAnswer: 236*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 - v**3 - 34*v**4 + 614*v**2 - 617*v**2 to the form j + m*v + a*v**4 + c*v**2 + b*v**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-4)*(-306)\/81*3. Suppose 3*l - b*g - 816 = -15*g, -5*l + 3*g = -1360. Does 23 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -342 = 3*q + 3*s, 0*s + 362 = -3*q + 2*s. Let y = -247 + q. Let z be (-2)\/(-5) - y\/25. Solve t - z = -4*n + 2*t, n - 1 = 3*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 454222 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3161 + 12576 = 269*b. What is the remainder when 144 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101592 divided by -9?\nAnswer: 11288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 51, 53, 57, 63?\n\"Answer: c**2 - c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 197\/47124 and 113\/36652?\nAnswer: 329868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000000631 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -105*a + 44. Let c be (-2)\/(4 + 105\/(-28)). List the prime factors of f(c).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - -1. Suppose 0*g = -2*g - m. Let f = 3 + -7. Which is the second biggest value?  (a) g  (b) f  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -125.49 - -126. Let d = 0.71 - q. Which is the nearest to 1\/2?  (a) 0  (b) d  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 7*w**3 - 2*w**2 + w. Let q be x(1). Let d be 12\/(5\/10 + 1). Suppose 0*v + 17 = v + 4*n, -4*v = -4*n - d. Is v > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 68 and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/(5\/270*-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12 and 49936?\nAnswer: 149808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of 0*s**4 + 0 - 25*s**2 - 16\/3*s**3 + 0*s**5 - 1\/5*s**6 + 0*s. Differentiate o(n) wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 15) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29364*p**4*w**2 + 3*p**4 - 147*p*w - 4367*w**2 wrt p.\nAnswer: -352368*p**2*w**2 + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -5 + (-12)\/(-3) - -3. Let h(c) = 23*c + 4. What are the prime factors of h(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-156)\/24 + 8)*(-10)\/(-3). Solve 0 = 3*j - 2*z + 14 - d, 5*z = 5*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*d - 4*d + 18. Let f(m) = m**3 - m**2 - 1. Let u(t) = -10*t**2 - t - 14. Let x(q) = f(q) - u(q). Let z be x(d). Solve z*v + 1 = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 6:46 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the second derivative of g**4\/2 - 2*g**3\/3 + g**2 - g. Let c be l(-5). Suppose c = 4*f - 16. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-2*sqrt(20))\/sqrt(4) + -4*sqrt(180) + -4)**2.\nAnswer: 96*sqrt(5) + 736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {b: 1, l: 3, i: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 85\/366 + -4\/61. Which is the second smallest value?  (a) 0.3  (b) 1  (c) y  (d) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1725468?\nAnswer: 2, 3, 53, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - l + 2059 = 0, v - 423 = 36*l - 39*l. Let r = v - 326. Is r at least 85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/(-12) - 872\/(-704). Let v = i + 443\/264. Which is the fourth biggest value?  (a) -1  (b) v  (c) -0.4  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/71 + -148\/213. What is the closest to g in -45, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, -4, -23 in decreasing order.\nAnswer: -2, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i + 5. Let z be g(5). Let o be (-256)\/(-6) - (-2)\/(-3). Let y = o + -27. What is the highest common divisor of z and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -543 smaller than 2\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4145240 - -43?\nAnswer: -4145153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66b1 (base 14) to base 2.\nAnswer: 100010110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -5*i + 5, 4*i + 5*c + 14 = 18 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -2*x**2 + 15*x - 20. Let r be f(5). Suppose 4*u + y - r = -u, 4*y = -20. What is the smallest value in 4, u, -1\/446?\nAnswer: -1\/446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9447 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m - 8 = -6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**3 + 2*p**2 - 2*p - 3. Let l be i(2). Solve w + 2*o + o = l, 0 = 4*w + 4*o - 36 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 2. Suppose i*v = -0 - 36. What is the remainder when v*(-4)\/3 - 0 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11.5 + -8. Let h = a + -4. What is the third biggest value in h, -2\/5, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4905, 4907, 4909, 4911?\nAnswer: 4913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -438 - -6005. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-20)\/(-16) + (-281528)\/(-32)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 50854, 101745, 152664, 203611, 254586, 305589, 356620?\nAnswer: 407679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 285088*0.2.\nAnswer: 57017.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 20 = 4*l, -21 = 3*f + 7*l + 22 - 38 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2712880333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3647.115 less than 0.1?\nAnswer: -3647.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-50))\/((-5)\/(-50)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 629*k**2 - 249*k + 627. Is g(-34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -150*o - 93. Is m(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 6*d + 7. Let v be w(5). Suppose 0 = -2*n - n + v. Let f(s) = s**2 - 3*s. Determine f(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 54*u**2 - 51*u - 12. What is the hundreds digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1521013484 to the power of 1\/2, to the nearest integer?\nAnswer: 39000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.6018396 rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 38\/1*1 - (7 - (-12 - -21)). What is the greatest common divisor of 10320 and f?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/2)\/(105\/442470*-43).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -626 + 60*g + 626 - 194*g as k*g + t and give k.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77524208.\nAnswer: 2, 4845263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add together -149 and -1110749893773.\nAnswer: -1110749893922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6*n - 5. What is k(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -420992*d*g - 2*d*r + 940767*g*r + 2*r wrt d?\nAnswer: -420992*g - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 33, 10, -39, -126, -263?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 + (5 - -5)*1. Sort -2, 4, n, 11 in descending order.\nAnswer: 11, n, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7628109?\nAnswer: 3, 2542703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**3 - 5*k**2 + 3*k + 2. Let g be f(4). Let i be (-2)\/(6\/5)*(3 - 6). Which is the biggest value?  (a) i  (b) -3\/4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4923107 is divided by 133?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 711*v**2 + 717*v**2 - 3512*v**2 + 723*v**2 + 626*v**2 + 720*v**2.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 5 = i, -5*i - 19 = 2*d. Suppose -2*x - 4672445 = d*x. Let k = x + 384489. Round k to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 510199.35 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 14, n: 1}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92 - 377 + 94 + 102 + 5*s + 89.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + -3.88. Suppose 0 = -2603*p - 15445 + 2430. Which is the smallest value?  (a) 2\/5  (b) p  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(3\/2)*w)\/w**(-6))\/(w**(-1\/6)*w\/(w*w**7)*w) assuming w is positive.\nAnswer: w**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1012121 + 12211020002?\nAnswer: 12210000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 12605669*q**3 + 368311*q**2 - 7*q wrt q.\nAnswer: 75634014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(21)\/sqrt(28)*4*-6.\nAnswer: -12*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -6 + 2*d - 1 - d - 5*d. What is the least common multiple of 9 and h(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 12 = -0*n - 5*k, n = 2*k + 10. Suppose -3*w + 9*w - w = 0. Suppose 13*q - 26 + w = 0. Solve c - 2*o = -n*c, o + 7 = -q*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 29*a**4 + 3*a**3 - 5*a**3 - 21*a**4 - 9*a**4 - 2*a**2 + a**3 to z*a**3 + q*a**2 + i + o*a**4 + u*a and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(((-2)\/(-4))\/((-10)\/(-60)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 0*d**4 + 0*d**2 + 2\/3*d**3 - 14 + 0*d - 14\/5*d**5. Find the third derivative of z(h) wrt h.\nAnswer: -336*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 110 and (-108)\/(-90)*(-165)\/(-3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 138 + -136. Let t(n) = -n**2 + n. Determine t(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 391 divide 104692596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of -w**4\/8 - w**3\/3 - w**2. Let z be -6*1 + -2 + 5. Is u(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -0*w - 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 5 + 11 = 0. Suppose 2*o - n - 2 = 0. Calculate the remainder when 13 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from mggmmmmmmg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*x**2 + 65*x**2 + 28*x**2 - 146*x**2 + 22*x**2 + 6*x - 6*x.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (120 - (-5 + 123)) + 20 + 1\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 4*f - 80, 9*f = n + 4*f - 20. Find the first derivative of 17*m - n*m + 10 - 3 wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 9 - 12 - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(28)\/(sqrt(4) + sqrt(40)\/(sqrt(50)\/sqrt(5)) + sqrt(4))*-4.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -234 + 224. Let d be 100\/(-24) + 4 - (-328)\/(-48). Is t greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 6684 = -1111. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 21*h**2 + 459*h - 480 = 0?\nAnswer: -160\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 + 2 + -18?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 909\nAnswer: -2\/909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 - 3 + 2)*(-1 + 2 - 3)*(-4*k + 0 + 2*k + 2 + (1 + 3 - 2)*(-2*k + k - k)).\nAnswer: 144*k - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 8a (base 16) in base 10?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-30))\/(((-2)\/(-12))\/((-20)\/(-8)))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-7))\/w*w*w*w**(1\/2)*w)**(-3\/16)\/((w*w**1)**(3\/14))**(5\/4) assuming w is positive.\nAnswer: w**(-561\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -9 + 12. Let p = 33 - 33. What is the closest to p in 0.3, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2729, 2726, 2723, 2720, 2717?\nAnswer: 2714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21583907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-196)\/90)*(-485)\/(-194).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x**2 + x - 1. Let m be t(1). Let d(w) be the first derivative of -w**2\/2 + 4*w - 35. Let z be d(1). Solve 0 = z*o - m*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/87925059 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -4*n**2 - 746*n - 34358. Calculate q(-83).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/(-1))\/(6\/(3\/1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 347, 638, 931, 1226, 1523, 1822, 2123?\nAnswer: 2426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -119021 at most as big as -119020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 47044.\nAnswer: -5\/47044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -274*l - 42. Let u(w) = -272*w - 60. Give 4*t(q) - 3*u(q).\nAnswer: -280*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -462 + 574. Calculate the highest common factor of 176 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -3*y**2 + 9*y. Let w be (-5 - (13 - 12)) + 12. Let f(m) = m**2 - 4*m. Determine w*j(p) + 13*f(p).\nAnswer: -5*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v + 5*b - 111, -v = -2*b - 9 - 28. Solve 35*j - v*j + 6 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47 - 47 + 35*h + 0*h - 3*h + h + 4*h - 3*h + h + (2*h + 3 - 3)*(-3 + 3 + 2) + 3*h - h + h - 2*h + 2*h + 2*h.\nAnswer: 44*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -3*i + 396 + 273, 434 = 2*i + 4*y. Does 46 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*m + 5*m - 16 = 0, o = m + 14 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t*t\/(t*t*t**(-1\/8))))**31\/(t\/t**(4\/7))**(3\/53) assuming t is positive.\nAnswer: t**(80435\/2968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 11  (b) 2\/15  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -24*x**3 + 30*x**3 - 6*x**4 + 8*x**4 + (0 - x**2 + 0)*(-3*x**2 + 5*x**2 - x**2) to y*x + k*x**4 + s + o*x**2 + c*x**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (29463\/420)\/61 - (2 - (-16)\/(-10)). What is the third biggest value in -327, p, -2\/7?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.11  (b) -6\/5  (c) -247  (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 657935 or 657936?\nAnswer: 657935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 19*v**2. Let x be 3*6*(0 + -1). Let u = -16 - x. Let n(r) = -2*r**2 + 8*r**2 - 2*r**u - 3*r**2. Calculate f(n(q)).\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5 + 7 = 0. Let j = -14 - -10. What is the third biggest value in j, m, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 12*k - 25. Let l(u) = 19*u - 37. Let z(t) = -8*f(t) + 5*l(t). Let j be z(20). Is j equal to -66\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 384\/6385 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, g: 3}. Give prob of picking 2 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -1  (b) -2\/11  (c) 1\/5  (d) -2728\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -23.3 + 23. Sort 0, b, 2 in decreasing order.\nAnswer: 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g. Let x(c) = 2*c + 8 + 0 - 4. Let w(r) be the second derivative of r**3\/3 + 3*r**2\/2 + 23*r. Let q(u) = -4*w(u) + 3*x(u). What is z(q(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -7*l - 3. Let z be o(-1). Solve 0 = b + z*b + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + o - 1. Calculate s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the second derivative of 14*m**2 - 50*m - 1\/5*m**5 - 10*m**3 + 3*m**4 + 1. Factor p(n).\nAnswer: -4*(n - 7)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-278)\/(-695))\/((-24)\/3900).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (43 - (12 - (-68 - -36))) + 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/(-4) + 483\/(-2). Let o be a\/(-8)*33\/(-5). Is o < -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*d, -5*n + 3*n - 4*d - 14 = 0. Let t(f) = -2*f**2 - 3*f - 7. Let y(i) = -4*i**2 - 5*i - 14. Give n*t(g) - 3*y(g).\nAnswer: 2*g**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009427 rounded to five decimal places?\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6844 is divided by 1412.\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -108862281 + 0.11?\nAnswer: -108862280.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*(0 + sqrt(2)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-1) + ((-15)\/(-4) - 3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -126 - -181. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3304*q - 4998 = 3598*q for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6224864.\nAnswer: 2, 194527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4763 - -0.3\nAnswer: -4762.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -2*y - 9. Suppose -14 = k + 2*z + 2*z, 0 = 2*k - z + 10. Let g be b(k). Suppose m = 2*u - 7, -g + 1 = 5*u + 4*m. Solve -u*n = 2*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3811324, 3 in decreasing order.\nAnswer: 3811324, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -0*z + 30. Let f be (20\/25)\/((-4)\/z). What is the third derivative of -2*h**2 + 6*h**2 - 2*h**f + h**5 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32788997 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: Simplify ((sqrt(1980) + 2*sqrt(1980) - sqrt(1980) - sqrt(1980))\/(2*sqrt(605) + sqrt(605)))**2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 129dc (base 14) in base 8?\nAnswer: 131446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + -5 + -24 + 17 + (-10 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20331 + -221220?\nAnswer: -302211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b - 4*b + 28. Let d(u) = u**2 - 8*u + 16. Let p be d(b). Let w be (-100)\/(-12) - 2\/(-3). Calculate the highest common factor of w and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1144 divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*j + 6 - 2. Let n be (-2159 + j)\/((-1)\/(-250)). What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2 - 86*o + 2*o**2 - o**2 + 41*o - 3 + 43*o. What is f(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -2\/7, -5, 2\/111, 2 in descending order.\nAnswer: 2, 1\/2, 2\/111, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + 199\/1 + (-12)\/6. What is the second derivative of -2 - 4 + u*o**4 + 10*o - 148*o**4 wrt o?\nAnswer: 552*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*g - 7780 = -65*g. List the prime factors of g.\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -3.28. Let k = -33.28 + r. Let o = k + 29. What is the fourth smallest value in -1\/4, o, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g**2 - 26*g - 20 = 0. What is g?\nAnswer: -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.234513 - 9.670187. Let n = v - -9.9. Round n to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.2900459 + -10.29. Round y to six decimal places.\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*n + 98*n = -2750, q + 0*n + 4*n + 104 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -408 and 2?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -422b8 (base 14) to base 7\nAnswer: -1233421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 30 - ((-8)\/14)\/((-2)\/(-7)). Suppose -23 = -w*b + 29*b - q, 0 = -2*b - q + 17. Suppose -1 = h - 2. Solve -j + 5 = r, r + h = -5*j + b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3518438 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*s = -8*m + 6, 0 = -8626*m + 8624*m - 5*s + 18 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 96968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + 200\/(-70) - -9?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8910 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 + 45. Suppose -2*c - 4*y = -4, 0 = -3*c + 7*c - h*y - 56. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 98 and 15306.\nAnswer: 749994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(-18)\/v*v))\/(v**11\/v) assuming v is positive.\nAnswer: v**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 33519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**3 - 4*u**3 + 2786*u**2 + 588*u**2.\nAnswer: -4*u**3 + 3374*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2\/5 + 5096*d\/5 + 3246152\/5.\nAnswer: 2*(d + 1274)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00594 plus 28?\nAnswer: 28.00594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (1*sqrt(156)*3)\/(sqrt(48)\/sqrt(4)*1))**2.\nAnswer: 18*sqrt(13) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 0)*(3 - 3 + 3)*(3*s - 19*s - 3*s).\nAnswer: 228*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42\/(-9))\/2*(2964\/4004)\/(-19).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Divide 8662 by -61.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 800\/44 + 4\/(-22). Suppose n*x - 22*x = 13000000. Round x to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 115829?\nAnswer: 7, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 17513524 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*l - l - l - l - 2*l**2 in the form r + h*l + y*l**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103321 + -210200130?\nAnswer: -210030203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -5*u**2 - 63*u + 5070. Calculate g(26).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*y**2\/3 + 896*y\/3.\nAnswer: -4*y*(y - 224)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of k**5*z + 2*k**5 - 16*k**3 - 3*k**2*z + 831*z + 2 wrt k.\nAnswer: 60*k**2*z + 120*k**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*x - 71*x**2 + 114*x**2 + 27*x - 38*x**3 + 23*x to the form z*x + i*x**2 + t*x**3 + a and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6099201*l*y**2 + 56*y**2 + 6*y + 437 wrt l.\nAnswer: 6099201*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.475 + 0.775. What is the biggest value in -6, -5, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzbzzbzbzz. What is prob of picking 1 b and 1 z?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-66)\/88)\/3*12\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 1 n when two letters picked without replacement from nnnntntnqtt?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 114  (b) -2  (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21147 is divided by 230?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 4 = o - 0, -2*r = -o + 7. Suppose o*q = -0*q - 5*v + 1285, 4*v + 1052 = 4*q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = -24 - 196. What is the highest common divisor of h and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 473089 is divided by 118270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 46*k**2. Let a(q) = 1709*q. Determine a(d(g)).\nAnswer: 78614*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 4*m + 86, 5*b - 827 = 2*m - 361. Solve -q + 5 = 0, 3*p = 92*q - b*q + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 5*p - 10, 2*y = 4*p + 19 - 27. Solve 3*j - 2 = 4*w + 6, 2*j + 3*w - 11 = y for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 5 + 9 = 0. Let l = a + 24. Suppose -u - 89 = -4*p, 5*u + 71 = 3*p - 34. Solve -2*z - 2*g + l = 2*z, 5*z = -4*g + p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, -0.1, -0.2 in descending order.\nAnswer: 0, -0.1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from bbysrskbbrvyrv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 201302?\nAnswer: 201311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-56)\/(-90) - (-4)\/(-10). Let v = -14 - -13. Is x equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6311137 + -110?\nAnswer: -6311247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -84.99 - -91.99. Which is the nearest to 0.2?  (a) 2  (b) -1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8915.3 - 8855. Which is greater: -0.18 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/7  (b) -165741\/251  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11003310 (base 5) to base 16\nAnswer: 16ffd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1946 * 3\nAnswer: -5838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 48 - 48. Solve m = -4*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 + 44. Suppose 0 = -3*j - 4*n - 2, -3 = -4*j - n + h. Let y(v) = -2*v - 1. Let m(w) = -4*w - 3. Let u(i) = j*m(i) - 5*y(i). Determine u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 0, 5, 2\/11, 4\/11, -0.036?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 81*g**3 - 119*g**2 + 125*g**2 + 5 - 51*g**3 to u*g**2 + v*g**3 + y + m*g and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1422)\/553)\/((9\/(-6))\/(42\/8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**15\/a)\/a**(-1\/4))**7 assuming a is positive.\nAnswer: a**(399\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 101 - 70. Let h = -22 + g. Calculate the least common multiple of h and 3\/(2\/(-8)*-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m + 991 = 739. Solve -b = -5*d - 6, -20*d = -m*d + 3*b + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 19*r. Let v = 156 + -152. Let d be z(v). Calculate the highest common factor of d and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/107175 and -13\/914560.\nAnswer: 13718400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + o. Let h(s) = s**3 - 2*s**2 - s. Let w be h(-1). Let f = -4 - w. Calculate l(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -0.01, 16, 3\/14 in decreasing order.\nAnswer: 16, 3\/14, -0.01, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 divided by -3956207?\nAnswer: 66\/3956207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 6 - 21*n + 8*n + 16 - 2 - n**2. Let o be b(-14). Suppose -2*i + o*k - 2*k = 8, -4*i + 2*k = -2. Sort i, -4, -8 in decreasing order.\nAnswer: i, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y = -92*y + 42958 + 4064. What is the remainder when 1394 is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -733627, -733792, -733957, -734122?\n\"Answer: -165*i - 733462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 73 - (-93 - -92)\/((-66)\/(-24) - 3).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**3 + 9*b**2 + 8*b - 9. Give t(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zaaaviizfajvavzzavva. What is prob of picking 1 j and 1 a?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.94954 - 0.46536. Round d to 1 dp.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5) - (3 + -3). Let d = 341 - 343. What is the nearest to d in 3, i, 5\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6*(-4)\/(-108)*6)\/(132\/(-3762))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8047986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 149828544 a multiple of 3736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**1*d*d**4)**(2\/29))**(-36) assuming d is positive.\nAnswer: d**(-432\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*n + 30554 - 31934. Let z = 314 - 209. What is the remainder when z is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 516575311 is divided by 3537?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*sqrt(85)\/(5*sqrt(20)\/sqrt(4) - sqrt(5))*-4.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**2 - 988*r - 981*r - 2 + 1972*r. Let l = 6 + -11. What is a(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 AM and 11:12 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 516 = -74*g - 2 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 (base 10) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(847) - (sqrt(847) + (sqrt(847) + -1)*5 + sqrt(847) + sqrt(847) + sqrt(847)).\nAnswer: -88*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11018027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d + 12. Let t be a(-6). Let k be ((-4)\/t)\/((-34)\/255). Suppose 4*y = p + 300, k*p = 4*y - 225 - 59. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -807*h**4 - 1624*h**2 wrt h?\nAnswer: -19368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + 2792b75?\nAnswer: 2792b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**4\/5 - 86*q**3\/5 - 144*q**2 - 2106*q\/5 - 2079\/5 = 0.\nAnswer: -77, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + p = 3, 5*h + 4*p = 7 + 5. Let k = 1 + h. Calculate the remainder when 1 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 100979 and 5784?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -16*o**3 - 44*o**2 - 8*o - 23. What is the units digit of m(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vfavvvavffavuvbva. Give prob of sequence afvf.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + i - 3 = 0, 2*l + i - 6*i + 21 = 0. Suppose q + l*q + 4*o = -13, 3*q = 2*o + 11. Let p(j) = 217*j**2 - 2*j + 2. Is p(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b**3 + 4*b**2 - 4*b + 2. Let z be l(3). Let t = -42687\/4552 - -3\/1138. Find the common denominator of t and (-28)\/(-98) + z*391\/(-28).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 93763*l**3 + 26317*l**2 wrt l?\nAnswer: 562578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) -2\/93  (c) -47\/6  (d) 186\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f + 2 - 2)*(0*f**3 - 3*f**3 + 0*f**3) + 11432*f + 131*f**4 - 39*f**4 - 11429*f to n*f + d*f**4 + x*f**2 + c*f**3 + j and give d.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(38\/12 + -3). Suppose 30 = -5*j + 5*k, -2*j + 2*k + 18 = -f*j. What is the nearest to -0.1 in -1\/2, 1, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -158463, -18, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 100, 196, 288, 376, 460, 540, 616?\n\"Answer: -2*u**2 + 102*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4335805, 4335826, 4335859, 4335910, 4335985?\n\"Answer: b**3 + 14*b + 4335790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16925*i - 36 = -16943*i. Determine h, given that 6*h - 3\/2*h**5 - 9\/2*h**3 + 0 + 6*h**4 - 6*h**i = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -7*z**2. Let y(s) = s. Let p(x) = -5*x. Let n(a) = 3*p(a) + 12*y(a). Give g(n(d)).\nAnswer: -63*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-9)*6 + 0 + -4. Solve -v - 4*m + 3 + q = 0, 2*v - 1 = -3*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 a factor of (2 + 3636 + 2)\/(((-210)\/(-75))\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 874799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 17*u = 16*u - 9, -3*u - 3 = 0. Calculate the remainder when 104 is divided by 27\/(-15)*(x - 76\/4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2610 - 2622 + 3*y**2 + 5232.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of f**4\/10 - 44*f**3\/15 + 121*f**2\/5 - 177. Factor u(l).\nAnswer: 2*l*(l - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x + 21. Let v be n(14). What is the third derivative of -61*l**2 - 6*l**3 + 33*l**3 + v*l**3 wrt l?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f - 5*f + f)*(18 + 5*f - 18 + (-4 + 0 + 2)*(0 + 0 - 2*f) - 6 + 6 + 5*f + f - 3*f + 7*f) in the form q*f + o + x*f**2 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28 + 23 - 47) + 29.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 213191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of -l**3\/5 + 11*l**2\/10 + 4*l\/5 + 9. What is j in t(j) = 0?\nAnswer: -1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 (base 7) in base 8?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ioiioliillolii. What is prob of sequence ll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 3)*(4*k - k - k) - 12*k - 7*k + 0*k as l + z*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -11*d - 10. Let i(o) = 3*o + 3. Let a(u) = -10*i(u) - 3*s(u). Let m(j) = -j**2 - 90*j. Determine a(m(y)).\nAnswer: -3*y**2 - 270*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 77340000 rounded to the nearest 1000000?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 9:01 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 1. Let v(g) = -3*g + 14. Let u(o) = o - 7. Let c(h) = -5*u(h) - 2*v(h). Calculate -3*c(x) + 21*f(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 308 and 196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4260087 = -2*p + 4260089, -3*p = 4*x + 89 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**3 + p**3 - 2*p**3 + (-6 + 3 + 1)*(0*p**2 + 0*p**2 + 2*p**3) + (-2 + 2 - 2*p**2)*(-348 + 348 - 441*p)*(-1 - 4 + 2).\nAnswer: -2649*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 368 = -2*o - 4*q, 5*o = -4*q + 864. Suppose 5*n - o = 174. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 1 = 8*t - 11*t, -b - 11 = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 142325861 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*u + 4 = 42*u. Let g(b) = -b**3 - 4*b. Suppose -4*l - 11 = 1. Let a(w) = -2*w**3 - 5*w. Calculate l*g(d) + u*a(d).\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -16389 (base 14) in base 6?\nAnswer: -1105205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 7*i**2 - i. Let r be b(1). Suppose 3*o = 3*t - 78, -5*o - 11 = -1. Calculate the greatest common factor of r and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 895266 is divided by 81333?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 17*h - 7840. Calculate j(405).\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d = 3*d + 15. Suppose -u + d*u = 960020. Suppose 2*x + u = -2*o, 2*o + 64215 + 175795 = -x. What is x rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (195 - 63 - 71)*(-i + 2 - 2).\nAnswer: -61*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(228) - (sqrt(228) - sqrt(228)*-2*-1) - sqrt(228)))\/(sqrt(48)\/(sqrt(20)\/sqrt(5)*-2)) + -1)*6.\nAnswer: -48*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -139\/39780 and -33\/1768.\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/2*16\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o - 3 + 4*o - 3*o**2 + 0*o. Let f be c(2). Let w = f - -19. What is the highest common divisor of w and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4.27929578467 - -161\nAnswer: 165.27929578467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5163023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -640, -1000, -1588, -2404, -3448?\nAnswer: -4720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 13 = 3*g, 5*g - 750895*a = -750892*a - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 + 6 = 5*p - 4*k, 10 = -p + 5*k. List the prime factors of (-20)\/6*(-1 + (-638)\/p).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5*1\/(-8))\/((-20)\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5226078619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 4 and 30.2525917156.\nAnswer: 34.2525917156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 51 = 6*k + 5*l, 5*k - 112 = 3*l. Is 23 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 30*x + 248. Let q(u) = 17*u + 139. Let r(c) = 9*f(c) - 16*q(c). Let y = -3 - 4. Is r(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 105.07 + -105.06987942. Round p to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -379 = -6*d - 301 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41388355 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1988 - -1987.4. Let g = 3 + -5. What is the smallest value in g, k, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-12315)\/(-18) - (-15)\/(-90). Suppose -37*y + 41*y - j = 0. Calculate the highest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63680635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 17 = -2*t - 3*q, 0 = 2*t - 3*q + 5. Suppose 7 = r + t. Let f be (3\/r)\/(63\/14). Sort -1\/9, -0.2, f.\nAnswer: -0.2, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2*f + 2)*(455 + 987 - 138)*(7 + 3 - 2) to the form v*f + w and give v.\nAnswer: 20864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -15450, -30910, -46382, -61872, -77386, -92930, -108510?\n\"Answer: -t**3 - 15453*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes before 4:51 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 1835*r**4 - 63795*r**3 + 423515*r**2 + 607395*r + 118250 = 0. What is r?\nAnswer: -1, -86\/367, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.5, -3\/7, 10, 0.19, -3\/40, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -3\/2*m**2 - 9\/2*m**4 - 2 - 1\/2*m**6 - 4*m**3 - 12\/5*m**5 + 0*m. What is b in q(b) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, r: 2, b: 2, o: 1, h: 1}. Give prob of sequence bhb.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 106 - 264?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -40047.7 and -24701?\nAnswer: 15346.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 6*j**2 - j - 5. Determine g(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -120*r + 90. Let y(i) = 54*i - 45. Let c(u) = -4*m(u) - 9*y(u). What is c(-17)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000032709 to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1474 - 2611 = -43*z. What is the remainder when z is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - 15 - f + f + (0 - 4 + 2)*(-2*f - 2 + 2) + 2*f - 5*f + 2*f)*((-2 - 3 + 4)*(-f + 0*f - 4*f) - 4 + 4 - 9*f).\nAnswer: -16*f**2 + 60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.709951739 to four decimal places.\nAnswer: 0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39)\/sqrt(3) + -1)*3.\nAnswer: -3 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 167374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -661, -1319, -1977, -2635?\n\"Answer: -658*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2 - 4*t - 1. Let w be a(-3). Suppose -k + w*f = 8, -5*k = -k + f - 4. Solve -2*l - l - 6 = k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -12*x**2 + 10*x**2 + x**2. Let f(q) = -4*q**2 + 11*q - 11. Let s(d) = -d**2 + 2*d - 2. Let t(v) = 2*f(v) - 11*s(v). What is k(t(u))?\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*g = -15*g + 4*d, 0 = -4*d - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14 + 5*d - 14*d + 8*d)*(-54*d - 19 + 38 - 19) to g*d + r + b*d**2 and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssuuassasaas. Give prob of picking 3 a.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of a**5\/30 - a**2. Let v(m) be the first derivative of 3*m**2\/2 + 5. What is v(d(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 10:41 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*q**4\/5 - 2082*q**3 + 5992434*q**2\/5 - 1128128862*q\/5 - 9413901168\/5.\nAnswer: 6*(q - 581)**3*(q + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 502*b + 3048. Let r be c(-6). Solve -113*z + 96*z + 68 = r for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49260?\nAnswer: 2, 3, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -6*d**2 - 20*d - 60. Give a(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5*f**3 + f**2 + f + 1. Suppose 556*k - 388434 = -1023*k. Calculate the smallest common multiple of k and h(-1).\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10341 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 4:33 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 3*l**2 + 0*l**2 - 6*l**2 - l**3 + 2*l**2 as w*l**3 + m + x*l + v*l**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -776.00131 + 776. Round d to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 92 = 4*v, 0 = q + 6*v - v - 49. Let s(m) = -12*m**3 + 2*m**2 - 1. What is the remainder when q is divided by s(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1021101 (base 3) to base 6.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -13. Let h(l) = -l + 6. Give -5*h(o) - 2*n(o).\nAnswer: 5*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + 1*-9 + 1. Let p = g + 5. Let m(a) = -3*a + 2. What is the tens digit of m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2511768*j - 127904 with respect to j.\nAnswer: 2511768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (3 - 3) + 2 + -36 + -5. Let f = u + -28. Let m = f - -82. Calculate the lowest common multiple of 21 and m.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 - f - 30. What is u(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 7944876.\nAnswer: 15889752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*b**2*x**2 + 40*b**2*x - 5*b**2 - 26*b*x**2 - 1175*x**2 - 2999*x wrt x?\nAnswer: 32*b**2 - 52*b - 2350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bcckaeayaacckykckbc. What is prob of sequence cb?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11815.\nAnswer: 5, 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 133532 and 105868?\nAnswer: 26572868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -9803550\nAnswer: 9803551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18152611?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5c (base 16) to base 8\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3092, -24717, -83410, -197705, -386136, -667237, -1059542, -1581585?\nAnswer: -2251900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 180010818.\nAnswer: 2, 3, 13, 821, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3010121022301 + -3?\nAnswer: 3010121022232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 18 = -p + 3*n, 4*p = -n - 124. Let o be (4 - 948\/p)\/((-4)\/(-10)). Let x be 1\/6 + o\/6. Solve l + x = 4*s, -3 = -3*l - 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**25\/o*o**(24\/11))\/((o*(o*o*o*o**(20\/7)*o*o)\/o)\/(o*((o**1*o)\/o)\/o*o)) assuming o is positive.\nAnswer: o**(1565\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 2 - 5*i**5 + 3*i**5 + (-2 - 4 + 5 + (0 - 3 + 1)*(3 + 2 - 4) - 2 + 1 + 0)*(-123 + 7*i**5 + 123) - 6*i**5 - 5*i**5 + 3*i**5.\nAnswer: -38*i**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.82?  (a) 0.5  (b) 2  (c) -0.051  (d) 3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 766.99 - 767. What is the nearest to 0 in t, 6\/7, -0.08?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(1\/4))\/m)\/(m*m**(-2)*m))\/(m**(2\/9)\/m**(-6)) assuming m is positive.\nAnswer: m**(-215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1191\/(-54) - (-16)\/(-144) and 76\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**2. Let v(o) be the first derivative of o**2\/2 + o + 17. Let a(c) = 57*c + 38. Let l(h) = a(h) - 38*v(h). Determine l(f(p)).\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21*w**6 - 4159864*w**4 - 1356*w**2 - 1 + 3 + 4159989*w**4 + w**5 wrt w?\nAnswer: 2520*w**3 + 60*w**2 + 3000*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-780)\/40 - -18 - 20823\/(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*v**3 - 22*v**3 - 1 - 2*v**2 - v**4 + 13*v**3 to the form r*v + u + w*v**4 + j*v**3 + o*v**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2 - 3585*i\/4 - 17825\/4.\nAnswer: -(i + 5)*(4*i + 3565)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -56 - -65. Suppose 3*i + 16 = 7*i. Suppose i*h - n - 11 = 0. What is the remainder when 18 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1084042 is divided by 2569.\nAnswer: 2493","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 7, 2.\nAnswer: -3, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4 + sqrt(38)\/(sqrt(96)\/sqrt(12) - sqrt(2))*-3))**2.\nAnswer: -216*sqrt(19) + 1683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0656 - 57.5344. Let o = h - -53. Let c = 5 + o. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005065213 rounded to 4 dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2422908 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**3 + 13*s**2 + 2*s + 1. Calculate d(13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 1328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*d**4 + 194*d**3 + 180*d**2 wrt d.\nAnswer: -72*d + 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1*(1 + sqrt(2)) + sqrt(2))*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6 + 7)*0\/1. Solve b + r*b = q + 3, 5*q + 15 = 3*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 51\/4 of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -106. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 18162219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + 4*z - 36 = 0, 0 = -3*x - 4*z - 1 + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 12182, 12288, 12384, 12464, 12522, 12552, 12548, 12504?\n\"Answer: -z**3 + z**2 + 110*z + 12072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r**2 + 4*r. Let w(g) = 4*g**2 - 3*g. Let k(y) = -3*j(y) - 4*w(y). Let l = 22 + -20. Let f(a) = 11 - 11 + l*a. Give f(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 24958009 or 24958022?\nAnswer: 24958009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 64 + -48 + (2 + -2 - 2) + 1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*k + 4*l, 22 = -2*k + 3*k + 4*l. Let b be 3 + -3 + 150\/k. What is the highest common divisor of 275 and b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -4*o - l - 108, 4*o - 5*l + 84 = 0. Is o <= -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 932*u - 251*u + 5312 = -20414 - 7643 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 643 - 643 + 3*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3333 + -355340?\nAnswer: -352003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/26)\/(146\/(-1898))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 679 and 291.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1 - (42\/(-105) + (-36)\/10). Solve -3*w - w = -2*l + 20, b = 5*w + 5*l for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3 + 7 - 3*h + 0. Let x(g) = g - 1. Suppose 0 = 5*z - 4*k - 40, -4*k - k - 41 = -4*z. Suppose -u + z*u = 12. What is u*x(q) + b(q)?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006139 to 4 dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 + 2*b**2 + 0*b + 6 - 13*b - 2*b**2. Let v be x(6). Let o be 8\/v + 20\/9. Solve 0 = o*a - 2 - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = 2*h - 4*j, 4*j - 17 = -5*h - 83. Which is smaller: h or -8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqh when three letters picked without replacement from qqqqqqqqqqqqhqqqqhq.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of p**7\/5460 + p**6\/780 - p**5\/195 + 3*p**3\/2 - 3*p. Let w(g) be the second derivative of n(g). Suppose w(c) = 0. Calculate c.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10 - 3) + 1223 + -1288?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*b - 5 + 2 + 3 to y*b + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 951*s**2*t**5 + 39*s**2*t**2 + 263*s**2*t + 106*t wrt t.\nAnswer: 19020*s**2*t**3 + 78*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uqqyqnqnqnqnqxnqxqqq. What is prob of picking 1 u and 3 n?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2346.87 - 2365. Let y = t + -0.07. Let j = 17 + y. Sort -0.3, 2\/9, j in increasing order.\nAnswer: j, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 4*x - 23 = 11, d = -2*x - 2. What is the units digit of (-4 - -2) + (-2)\/(d\/(-303))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*o - 57*o + 38*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1065759 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 86983 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 24930 = 60273. Calculate the remainder when n is divided by 41.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 30 + (114\/(-27) - 2\/(-9)). Suppose -4*f + 37 = 5*x, -3*x - x + g = 2*f. Solve 4 = -2*j - b, -j + f*j - 2*b - 8 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 986*j + 377*j + 47705 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -445*b**2*v**3 + 2*b*v**2 + 2498*v**3 wrt b.\nAnswer: -890*b*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1328\/144 + 20\/(-9) + 2 and 15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2128, -5, 5, 4, 0.53 in descending order.\nAnswer: 5, 4, 0.53, -5, -2128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2 + (-9)\/(45\/(-1160))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1661e6d (base 15) to base 3\nAnswer: 1010120221202111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 426*y - 81 = 423*y. Let c = 1 - -21. Let z = y - c. Solve -p + 2*p + b = -6, z*p + 3*b + 26 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -225012\/7 + 32148. Let m(w) be the first derivative of 5 + 2\/7*w**3 + 3\/28*w**4 - 6\/7*w**2 - q*w. Find y, given that m(y) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 24, 21, 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 4*x + 19 = -8, -5*x = a + 3. What is the remainder when 48 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gbgggbg. Give prob of sequence bgbg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1307 * 11092\nAnswer: 14497244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - 183*n**2 - 13 + 739*n**2 + 865*n**2.\nAnswer: 1421*n**2 + n - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -11?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-12 - -2))\/(9065\/490 - (1 + 18)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 - 24 - 6 = 48*t. Let v(i) = 40*i + 82. Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91*a + a**3 - 170*a - 34*a**3 + 79*a.\nAnswer: -33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 37 = 36, -w - 10 = 3*c for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 7:23 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*m**5 + 6*m**4 - 1872*m**2 wrt m.\nAnswer: 1140*m**2 + 144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1368, -5553, -12528, -22293?\n\"Answer: -1395*n**2 + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -13*n**3 - 5*n**2 - 8*n - 6. Let s be p(-2). Let b = s + -91. Suppose -m + b*u - 3 = -13, -m + u = -16. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 9*k. Suppose 2*q + 4*c + 96 = 0, 2*q + 79 + 2 = c. Let d = q - -45. Let y(t) = -d*t - t + 9*t. Give y(w(a)).\nAnswer: 45*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-3) + 20\/(-6). Is 6*3\/(-18)*y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*d**2 - 1403*d**2 + 349*d**2.\nAnswer: -1088*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 8 = -3*j, -4*f - 8 = -0*j + 3*j. What are the prime factors of 3 + 17 + 3 + f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 6*z**2 + z + 5. Let f be j(4). Calculate the greatest common factor of f and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {s: 3, r: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + p - 5 = -0*p, -3*m - 2 = -5*p. Suppose -w = -m + 3. Let q(t) = -5*t + 8. Let h(i) = -11*i + 17. Let a(s) = w*h(s) + 5*q(s). Give a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 126 - 112 - 8*v + 11*v. What is the remainder when y(-4) is divided by (12\/(-30))\/((-2)\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 201379\/210 or 959?\nAnswer: 201379\/210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -3*z. Let p be 1*(-2 - -1) + -2 + -7. Let v = p - -11. Give b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u. Let a(m) = 16*m + 8. Let t(d) = -a(d) - y(d). Let r be (4 - 2)*(-3 - 0). Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 - 5*w + 7. Suppose 0 = -16*p - 42 + 186. Suppose p*a + 9 = -54. Give x(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-6)\/10)\/((-6)\/20). Let q(d) = -3*d - b + 1 - 4*d**2 + 0*d - d**3 + 4. Suppose -a - v - 3 = 3, 5*a + 4*v = -27. Calculate q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 1090 - 40 = -3*u, 2*v - 576 = 4*u. What is the remainder when v is divided by (149 + -146)\/((2\/8)\/((-66)\/(-36)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1470 divided by 852\nAnswer: -245\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2718 + -97855\/36. Calculate the common denominator of 163\/90 and g.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.4 - -7.6. Let r = t + -9.5. Suppose 0 = y - 3*y + 10. Which is the second smallest value?  (a) r  (b) 1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1360124846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -556279.82411205 + 7981984.244111. Let v = c - 7425704. Let d = v + -0.42. Round d to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001157457 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 is divided by (-205)\/5*(3 + -7 + 3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4\/18 - (-1303)\/9) + -4. Let x = 154 - f. Calculate the remainder when 31 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -62, -78, -128, -230, -402, -662, -1028?\nAnswer: -1518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -652*i**2 - 1907*i wrt i.\nAnswer: -1304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3  (b) 7\/11  (c) -0.3  (d) 2\/9  (e) 0.047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - (-10 + (-186)\/(-6) + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -2 + 1. Suppose -3*b - 2*s + p = 0, -15 = -2*b + s - 5. Suppose -7 = -b*q - h, -q + 19 = 2*q + 4*h. What is the greatest common factor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2860 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(1300)*2*-1)**2 + (sqrt(260)\/(sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4))) - -1*(sqrt(468) - sqrt(52))**2).\nAnswer: -42*sqrt(13) + 5409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1531079088 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 91066049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**2 + 1. Let a(t) = -8*t**2 + 57. Let l(j) = a(j) - 3*f(j). Let z be l(-5). Solve x = 4*u - 19, 7*u = z*u - 5*x + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 38.27375 hours?\nAnswer: 137785500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 3:45 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-14)\/(-21)*6\/2. What is the third derivative of 7*s**6 + 10*s**2 + s**h - 6*s**2 wrt s?\nAnswer: 840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h - 2*h + 3*h - 2*h**3 + (-5*h**2 + 3*h**2 + 3*h**2)*(-11 + 11 - 2*h) + 8*h**3 + h**3 - 4*h**3.\nAnswer: h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -v**5\/90 + 13*v**4\/36 + 30*v**2. Let a(m) = 0. Calculate m.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 - 4 + w**2 + 0 + 0 - 7 = 0 for w.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyjyhjyjhyyyyuyyuh. Give prob of picking 1 u, 1 h, and 1 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -3*l + 6*l. Suppose -s - l = -2. Let f = s + 8. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i - 4*i + i)*(7*i**3 + 11*i**3 + 3*i**3) + i**4 + i**4 - i**4 to the form c*i**2 + x + l*i + m*i**3 + h*i**4 and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 15*a**2 + 7 + 19*a**2 - 5 + 3*a. Let f be g(-1). What is the third derivative of -2*i**6 + 10*i**2 + 33*i**2 - 33*i + f*i wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 714 and 436128?\nAnswer: 7414176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -5593*z**3 + 282*z**2 + 282*z - 282. Let y(s) = 99*s**3 - 5*s**2 - 5*s + 5. Determine -5*b(t) - 282*y(t).\nAnswer: 47*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by 7.\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15500.8 + -15501. Put p, 5, -3, 655 in decreasing order.\nAnswer: 655, 5, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -4*l**2 + 40*l - 36 = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 30338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 591*q - 600*q + 63 = 0. What is the highest common factor of 1253 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 14\/((-2)\/(-4)*4). Let t = r + -6. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 79 = -2*v. Let s = 2223 - 2202. Calculate the remainder when v is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1586?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 12:07 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41155, 82320, 123485, 164650, 205815, 246980?\nAnswer: 288145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t*t**(-1\/2)*t)\/(t*t\/(t*(t**(4\/5)*t*t)\/t))*(t\/(t**(-1\/10)*t))\/(t\/(t*t**(9\/4))) assuming t is positive.\nAnswer: t**(113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/(-56))\/((-3)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 326 (base 10) in base 16?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(150)*6 - sqrt(150))\/(sqrt(600) + sqrt(600)*2 - sqrt(600)))\/(-2*sqrt(320)*3 + sqrt(320) - (-2*sqrt(320)*2 + sqrt(320))).\nAnswer: -sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -7 + 4 - (1 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jcecvsed. Give prob of sequence js.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*s - 0. Which is the second smallest value?  (a) s  (b) 3\/4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 27693036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(1\/2)\/((a**6\/a*a)\/a)*(a*a\/a**(-2\/3))**(-1)*((((((a**(-1)*a*a)\/a*a)\/a*a)\/a)\/a)\/a**4)**46 assuming a is positive.\nAnswer: a**(-1423\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 290524?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -212 - -393. Put -3, u, 3 in decreasing order.\nAnswer: u, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, w: 1, j: 4, d: 3, r: 3, z: 2}. What is prob of sequence jwg?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*l + 40*l = -764. Let c = 304 + l. Let f = c + 13. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -789188688 by 3.\nAnswer: -263062896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 358484 and 21952?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -28*d + 123. Calculate q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 53 - -104?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -89 - -89. Let k(y) be the second derivative of 1\/10*y**5 + i*y**3 - 3\/2*y**2 - 3*y + 0 + 0*y**4. What is the first derivative of k(n) wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**2 - 2*i - 3. Let x(b) be the second derivative of 5\/6*b**3 + 0 + 1\/12*b**4 + 4*b + 7\/2*b**2. What is -5*u(h) - 2*x(h)?\nAnswer: 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/7, 2\/7, -5, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c2390 - 4?\nAnswer: c238a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*d - 1616*d - 89*d - 395*d - 303*d to the form u*d + s and give u.\nAnswer: -2422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**4 + 2590*n**3 - 2070542*n**2 + 4133306*n - 2065356 = 0. Calculate n.\nAnswer: -1854, 1, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 94788 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 k when four letters picked without replacement from {i: 4, c: 1, g: 2, k: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 11*m + 4. Let g(x) = -32*x - 2030. What is g(q) + 3*o(q)?\nAnswer: q - 2018","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41564496?\nAnswer: 2, 3, 23, 37649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/3))**20\/(v**(-2\/7)*v*(((v\/(v**(-6\/7)\/v))\/v)\/v*v)\/v)*(v**(1\/5)*v*v\/(v*v\/(v**2\/v))*v)**(-7\/5) assuming v is positive.\nAnswer: v**(1058\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*b + 75\/2 + 3\/2*b**2.\nAnswer: 3*(b - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 - 6*j - 11. Let s be v(8). Suppose 0 = w - 5*w, 0 = 2*z + 4*w. Solve z*a = s*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-5) + 1)\/(10 - (25 - 5)). What is the fifth smallest value in -6, 2\/3, 1\/3, -3\/4, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, s: 15}. Give prob of sequence ysy.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by 152848\nAnswer: 11\/152848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pvm when three letters picked without replacement from fispvfm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + h + 2. Let w be y(-1). Let z(c) = c - 4. Let f be z(w). Let t(a) = -27*a - 4. Does 11 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 40.9302 + -40.4. Let x = z + 0.0158. Round x to two decimal places.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -6*j**2 - 109*j - 27. Let i(q) = -16*q**2 - 328*q - 82. Let r(w) = 3*i(w) - 10*s(w). What is the units digit of r(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1315520247 by 438506749.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 AM and 7:52 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32144011 + 50?\nAnswer: -32143521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1295\/10)\/7 - -3. Let u = -21 + y. Which is the nearest to 2\/7?  (a) u  (b) -2\/5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 3 - v)*(3263 - 3263 + 273*v)*(-15 + 4 - 4) in the form x + w*v + u*v**2 and give u.\nAnswer: 4095","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/27, 4\/9, -126, 7, 0.39, 1\/2?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.17, 0.77, 3, -33, 0.4, -1\/6, 13?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + (14 - (-5 + -2 + 2 + 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 3*x + 12. Let z be l(-13). Let f be 84\/z + (0 - -3). Which is the nearest to -0.3?  (a) -2  (b) -4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -3*x**3 - 13*x**2 + 6*x - 6. Let n(b) = b**3 + b**2 - b + 1. What is 6*n(p) + o(p)?\nAnswer: 3*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1030 - -222312030?\nAnswer: 222313120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 47\/3, 201, -4\/3, -1\/6, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 794, 1689, 2584, 3479?\nAnswer: 4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 92 = -4*u. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 0*o - 3*c - 19 = 0, -20 = 4*c. Suppose 0 = 8*s - o - 22. Solve 7*n - s*n + 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 9 = -3. Find the third derivative of z*v**4 + 3*v**4 - 6*v**2 + 5*v**4 + 0*v**2 wrt v.\nAnswer: 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 5*j**2 + 13*j - 14. Let c(p) = -p**2 - 6*p + 5. Let s be c(-6). What is the remainder when h(s) is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 11:56 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -202*d + 55. Let g(l) = 101*l - 27. Let c(b) = 13*g(b) + 6*h(b). Differentiate c(p) with respect to p.\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*p - 90 - 26 = 0. Let s(z) be the first derivative of 0*z**2 + 0*z - 27\/5*z**5 + 0*z**3 - 9 + 3\/2*z**4 + p*z**6. Determine u so that s(u) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -6*l + 63. What is z(29)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**4\/4 + 34*x**3\/3 + 48*x**2 + 7*x - 304. Give u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/6)\/(2\/6)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 662828?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2337627 to the power of 1\/2, to the nearest integer?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 6, 0, -14, -36?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -199*q**3 + 4*q + 8*q - 12*q + 207*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -10510 * -0.04\nAnswer: 420.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -56.372 and 26.\nAnswer: -30.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g + 2*g - 2*g - 14*g to the form v*g + s and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -7 - 4. Suppose 3*n - 2*n - 13 = 0. Let r be (-12)\/78 + 1003\/n. Calculate the highest common divisor of r and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 225680 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.1 - 0.1. Let f = 322689\/7 + -46006. Let r = f + -93. Sort b, r, 2 in decreasing order.\nAnswer: 2, b, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19498 at most -19500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -z**5\/12 - z**3\/2 - 10*z**2. Find the first derivative of n(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66421705043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -2*y**2\/17 - 65043864*y\/17 - 528838030506312\/17 = 0?\nAnswer: -16260966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000354238 rounded to 6 dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 s when four letters picked without replacement from hsssvshhhhhhsvvssss.\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2934 = -12*d + 7902. Let y = d + -612. What are the prime factors of y?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/9*20\/4720*6?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*t**3 + 7380*t**4 - t**3 - 2 - t**2 - 7379*t**4 - 5*t as g*t**2 + u*t**3 + h*t**4 + a + x*t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = 3*d - 2. Let g be 14176\/10 + d\/(-5). Let y = g + -8533\/6. What is the common denominator of y and -44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1778 - 856. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -158353 and 8.\nAnswer: -1266824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**3 - 4*k**2 - 32*k - 74. Calculate r(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -396, -4\/3, -3, 1\/153, 0.6?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -437*h + 439*h + 6*w, -4*h - 2*w - 42 = 0 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -31419, -63415, -95411, -127407?\nAnswer: -159403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -786.605 - -784. Round n to one dp.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -3775\/1787?\nAnswer: -3775\/1787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 80 + 12 = 0. Suppose -j = -5*i + 6*i. Let a = i + 43. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*s + 14, -4*l + 3*s = -0*s - 29. Let c(k) be the third derivative of 2*k**2 + 0*k + 1\/6*k**3 - 1\/120*k**6 - 1\/24*k**4 + 0 + 1\/10*k**l. Give c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -20*u**2 - 18*u. Let x(d) = -d**2 - d. Let j(t) = 18*x(t) - y(t). Let v(p) = 3897*p. Calculate j(v(o)).\nAnswer: 30373218*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.065318 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -567*h - 765 = -652*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 2*o - 34, 0 = o - 2*o - 5. Let v(m) = n*m**2 - 7*m**2 - m**2 + 3. What is the units digit of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.021 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43*a + 26491 + 34569 = 0. Is a greater than -1420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m - 33 = -m. Let p be (-28900*1)\/(m\/(-90)). Round p to the nearest ten thousand.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1968 is divided by 116?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 8*o**3 - o**2 - 8*o. Let d(r) = 17*r**3 - 2*r**2 - 17*r. Suppose 5*c - 14 = -5*x + c, 3*x - 4*c = 34. Give x*d(q) - 13*u(q).\nAnswer: -2*q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 889*x + 5. Let q be o(-4). Let n be ((-3)\/6)\/(1\/q). Let f = n - 1818. What is the common denominator of f and 73\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -0*p - 50. Let v(b) = -46*b + 50. Let s be v(1). Suppose 0 = 2*i + 5*h - 21 - p, -95 = -s*i + h. Calculate the remainder when 44 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 5*f = 3513, -9*a + 8*a + 3*f + 874 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15011972 is divided by 333.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000027522 rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -59655566 divided by -227693?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 4*m + 19. What is the remainder when (-11)\/5*(-24 - 31) is divided by h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 2:16 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -14298?\nAnswer: 14294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/20364180 and 51\/194?\nAnswer: 20364180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 8 = -2*w - 2*w, 0 = 2*w - 5*l - 4. Let d(c) = -2*c**2 - 3*c + 2 + c**3 + c + c**w + c. What is the units digit of d(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 595*m**3 + m**2 - 9?\nAnswer: 3570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 163 and 2?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**2 + h. Let p be w(1). Suppose r + p*r + 18 = 0. What is the units digit of (r\/(-4))\/(7\/42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43.316 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 38*j**2 + 8*j - 5. Let s(g) = -36*g**2 - 7*g + 4. Determine 5*d(u) + 6*s(u).\nAnswer: -26*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.03 less than 141\/12677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 15 = 111*q - 112*q, 25 = -5*o + 5*q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 414631362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 167.69 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:42 PM and 10:36 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1030.3 + 1020. Let x = 0.066 - -10.234. Let h = y + x. Which is the closest to h?  (a) 3  (b) 2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 236 = -4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 9*n. Let p be (2\/4)\/((-1)\/(-12)). Let g(x) = -x. Let v(k) = p*g(k) + m(k). Let t(b) = -b. Give v(t(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 30, -1, 4 in decreasing order.\nAnswer: 30, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 154722391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -o**6\/3600 + o**5\/120 + 14*o**3\/3 + 3*o + 109. Let u(p) be the third derivative of j(p). Factor u(c).\nAnswer: -c*(c - 10)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -140624, -140626, -140628, -140630, -140632?\n\"Answer: -2*h - 140622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f - f - 48. Let l = f + 82. Is 21 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2677?\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 77408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5205 + 275d?\nAnswer: 7964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from wngggoggwnwgononhhg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*m + 17*m - 59321*m**3 + 2*m.\nAnswer: -59321*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a + 246 = 13*a + 258, -7 = 5*z - 2*a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 971*l*r**2*z + l*r**2 + 665446*l*r + 1590*r**2*z wrt z?\nAnswer: 971*l*r**2 + 1590*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -855232 divided by -322?\nAnswer: 2656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, l: 3, h: 1, o: 4}. Give prob of sequence oooo.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -649, -457, -273, -97, 71, 231, 383?\n\"Answer: -4*c**2 + 204*c - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 453\/(-5285) + (-1)\/5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b + 5835 + 5*b - 2924 - 2911. Let l(r) = -357*r**2. What is l(x(u))?\nAnswer: -5712*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 715733 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -33, -203, -485, -855, -1289, -1763, -2253, -2735?\nAnswer: -3185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -72.87 - -73. Let f = -30.13 - -30. Let g = n + f. Which is smaller: g or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -80416, -321550, -723442, -1286092, -2009500?\n\"Answer: -80379*j**2 + 3*j - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 168551, 168319, 168087?\nAnswer: 167855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 2\/67707?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15\/253 - -654\/1771. What is the smallest value in -2\/785, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167 = 855*s - 866*s - 97 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t**5\/5 - 5488*t**4\/5 + 464593*t**3\/5 + 113384174*t**2\/5 + 3857031084*t\/5 + 851523912\/5 = 0. Calculate t.\nAnswer: -57, -2\/9, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -0.55*-30.9\nAnswer: 16.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -0.0391.\nAnswer: -0.01955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-15)*(-17)\/34*15\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q\/(q\/q**32))*q\/q**(-2) assuming q is positive.\nAnswer: q**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-123)\/(-82) - 1\/(-2)*12715?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 267420 and 780.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 367 - 373. Let h = -0.1 - 0.6. Let f = h + 0.2. Sort w, 0.5, f in descending order.\nAnswer: 0.5, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 4290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 98*q**2\/19 + 578*q\/19 + 852\/19.\nAnswer: 2*(q + 3)*(49*q + 142)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21068 - -54963. Suppose -h - a = -5*b, 3*b + 2*h + h - 20337 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-36)\/(-54) - (-6)\/(-9). Let m(f) be the second derivative of s + 7*f - 5\/12*f**4 + 7\/6*f**3 - f**2. Factor m(o).\nAnswer: -(o - 1)*(5*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15962\/118253 or -1?\nAnswer: -15962\/118253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t - 11 + 11 + (-t + 5*t - 3*t)*(-6 + 4 + 5) - 4*t + 3*t + 3*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-3\/4)\/((s\/(s**(-2\/5)\/s))\/s)*s**5*s\/(s**(-4\/5)\/s)*((s*s*((s**(-1\/2)\/s)\/s*s)\/s)\/(s**(-4)\/s*s))**50 assuming s is positive.\nAnswer: s**(3613\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0 = p - 372, 3*p - 1098 = 3*m. Is 52 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**2 + 1. Let y = -2 - -3. Let a(i) = i + 7. Let d be a(-4). Suppose -r = d - y. What is m(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 50 and (15 - 15) + 2*(-2 + 5)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*i - 6*i + 33 + 8*i to the form u*i + y and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 660385*s + 2585?\nAnswer: 660385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - (sqrt(20) - sqrt(40)\/sqrt(2))*-1)\/(sqrt(10) - (sqrt(10) + sqrt(490)*1)).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 3 = -2*i. Let u(h) = h**2 - h. Let j be u(-3). Suppose 0 = 4*o - q - j, 4*o - q = 3*q. Sort i, o, -1 in increasing order.\nAnswer: i, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + (-3)\/2 + 0. Let j be 2 + 1\/(126\/(-555)). Let y = -17\/6 - j. Which is the nearest to z?  (a) 1  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*r + 50*r - 4*w - 4 = 72*r, -5*r + 4 = -4*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 206*a - 1. Let p be s(1). Let o be 1\/2 - p\/(-190). Let z = -172\/133 + o. Put -0.4, z, 1 in decreasing order.\nAnswer: 1, z, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 8 = 7*d. Suppose 4*b = -0*x + 5*x + 8, 0 = -b + d. Let k be (-2)\/(-31) + 1 - 1. Which is bigger: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 44. Suppose 8*y = -u + 111. Calculate the greatest common factor of 63 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**4\/13 + 1221880*o**3\/13 + 186680039816*o**2\/13 + 17166807947520*o\/13 + 394777125292032\/13 = 0. Calculate o.\nAnswer: -305424, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hmhhmhhhhmhhhh. Give prob of sequence hm.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0 = -3. Let w = 9 - i. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cgc when three letters picked without replacement from {g: 2, c: 2, i: 7}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**2 + 46*s**3 - 3*s**2 + s**2 - 30*s**3.\nAnswer: 16*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 AM and 9:02 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.223957 + 0.224. Round t to six decimal places.\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 66 + -1192?\nAnswer: -1128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + r + 7, -2*r = -2*s + 5 + 5. Suppose -6 = -3*c, -s*f + 2*c = 2*f - 20. Suppose -10*o + 276 = -f*o. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 355 is divided by 97.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.04 + -0.04. Let o = -3 + z. Let c = o + 1. Is c at most as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -87*w**3 - 21*w**2 + 34*w + 335. Is y(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 24*f + 13 - 205 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a + 3*a - 3*a + (-3*a + 2*a + 3*a)*(1 + 1 + 2).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 92952 divided by 15492\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - a. Let l(d) = -4*d**2 - 3*d - 1. Let g be 54\/(-6)*(1 + (-15)\/9). Determine g*q(y) - l(y).\nAnswer: -2*y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -14*h**2\/9 + 12532*h\/3 + 21488\/9 = 0.\nAnswer: -4\/7, 2686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*l*q*v**3 - 1100*l*q*w + l*q + 6*l*v**3*w + l*v**3 + 6*l*v**2*w - 3*l*v - 2*l*w with respect to q.\nAnswer: 2*l*v**3 - 1100*l*w + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1024 + -5?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 + -44. Let q = 7 - -9. Calculate the least common multiple of 2\/7 + (-24)\/n and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 5*q + 15 = 0, 4*a - 166397*q + 28 = -166401*q for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 467600 to the nearest ten thousand.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5795679818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*y - 22891 + 6680. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 3*b + 0*b)*(23*b + 94*b + 0*b) - 129*b**2 + 48*b**2 + 57*b**2.\nAnswer: -258*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4030 + -3960. Calculate the remainder when s is divided by 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)*2*-2 - sqrt(190) - (sqrt(190) + sqrt(190) + sqrt(190)*1*1 + sqrt(190)))\/(4*-1*sqrt(1000)).\nAnswer: 9*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -204 + 613\/3. Solve 5\/3*c**3 - 2\/3*c**2 + 0 + 0*c - 4\/3*c**4 + o*c**5 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2451, -4829, -7205, -9579, -11951, -14321, -16689?\nAnswer: -19055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.04 - -0.19. Let i = h - 0. Let a = -0.85 - i. Is a greater than -1\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -6390\nAnswer: 2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z - 2*z + 0*z + (-z - 13 + 13)*(-1 + 1 - 1))*(2*z**3 - 1 + 1) as n*z**4 + w*z + k*z**2 + v*z**3 + g and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -738, -2514, 0.\nAnswer: -2514, -738, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 5*l + 28. Determine s(17).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10010011001010010110 (base 2) to base 8\nAnswer: -2231226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7229.64524 rounded to the nearest integer?\nAnswer: -7230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 17833.5 months in decades?\nAnswer: 148.6125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 2*w + 14 = 0, 2*s + 3*w - 173 - 166 = -342 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 660738 (base 11) in base 15?\nAnswer: 15c910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.03 and -6.2034?\nAnswer: 6.1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - -1 - 7 - (15 + -307). What is the highest common divisor of 41 and t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1905 = 139*r - 144*r. Let t = r - -376. Which is the fourth biggest value?  (a) 4\/7  (b) 4  (c) t  (d) -5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01605430997 to 6 dps.\nAnswer: 0.016054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 74*v - 684 = -70*v, 1145 = 5*j - 5*v. What is the greatest common factor of j and 4988?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 396*a + 2376. Let c be q(-6). Let b(k) be the second derivative of 2*k**3 + 0 + c*k**2 - 1\/10*k**6 + 1\/4*k**4 - 20*k - 3\/5*k**5. Factor b(s).\nAnswer: -3*s*(s - 1)*(s + 1)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*x + 3264939 - 3264939.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z + 2*z + 20*z)*((-1 - 4 + 3)*(5*z**4 + 0*z**4 - 4*z**4) + 7*z**4 + 0*z**4 - 3*z**4).\nAnswer: 54*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of -7*v**3\/6 - 23*v**2\/2 - 12*v - 10. Let t be w(-4). Solve -4*m = -f + 16, -t*m - 30 + 10 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 1 = 5. Suppose 3*d + 4 = 4*m, -2*m + 4 = -y*d + d. Let j(g) = g**3 - 3*g**2 - 5*g - 3. Calculate j(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3970703*k**2 - 6508834?\nAnswer: 7941406*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, f: 1, o: 1, p: 1, q: 1, i: 1}. Give prob of sequence epq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 r when three letters picked without replacement from zurrprprzurp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/12906 and -23\/3107.\nAnswer: 167778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (9\/(-6))\/((-4)\/8). Suppose -85 = -q - 5*r, -6*q + 381 = -q + k*r. Let t = -51 + q. What is the remainder when 69 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1010010 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-28)\/(-7)*(-2 + -118). Let f be 21\/4*h\/(-45). Suppose 251 = 5*k + f. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j - 1. Let b(y) = -6 - 4*y + 16 - 3 - 9. Let c(d) = b(d) - 2*r(d). Let k(u) = 26*u**2. What is c(k(i))?\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 2*g - 3. Let c be n(1). Let q be (-3)\/(-2) + ((-15)\/(-2) - c). What is the greatest common divisor of q and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 3*b = -21, -94 = -3*a - b - 23 - 28 - 29 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 - 9 + 20*b**2 + 13 to w*b**2 + h*b + a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(147) - sqrt(147))**2 + (-3*sqrt(12) + sqrt(12))\/sqrt(4).\nAnswer: -2*sqrt(3) + 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02734753 to 3 dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 8*m**2 - 24*m - 20. Let v be j(-9). Let o = -8 - -8. Suppose o = 2*p - 313 - v. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*s - 3*g, 2*g + 2*g = -2*s + 20. Suppose s*j - 3*j + 5*c = -2, c - 4 = -5*j. What is the hundreds digit of j + 300\/((-12)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(550) + 2*sqrt(550)*3 + sqrt(550))*-2)\/(sqrt(352)\/sqrt(8) - 3*sqrt(539)).\nAnswer: 400*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -39741110 rounded to the nearest one hundred thousand?\nAnswer: -39700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3369 - 3352. Calculate the remainder when 3619 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2.5757148 hours?\nAnswer: 0.10732145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.325625ml to litres.\nAnswer: 0.006325625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 + -ccb?\nAnswer: -cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 54709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**5\/7 + 163*b**4\/7 - 4836*b**3\/7.\nAnswer: -b**3*(b - 124)*(b - 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 237560 to the power of 1\/2, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 5*s**2 - 6*s + 7. Let u be p(6). Let z(l) = l**3 - 7*l**2 + l + 2. What are the prime factors of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-7)\/(-1)*1 + -4. Suppose -3*b + c = -b - 303, 0 = 4*c - 20. Suppose 2*w - 77 = -l, f*w = 2*l - 2*w - b. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 10?  (a) -4  (b) -0.4  (c) -0.079  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 10*q**2 - 11*q - 5. Calculate z(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 0.313 = -818424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 6 + 0 = 0. Let v = 277.47 + -276.97. Which is the nearest to 0.13?  (a) 4  (b) w  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1, -22, -59, -116, -199, -314?\n\"Answer: -v**3 - v**2 - 13*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 28 = -4*o, 0*o - 4*o - 1 = 5*w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of -5*q**4\/4 + 25*q**3 - 375*q**2\/2 + 625*q - 15. Suppose c(k) = 0. What is k?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1220778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the second derivative of 2\/15*c**4 + 3*c + 4\/15*c**3 - 2\/75*c**6 + 0 + 1\/105*c**7 - 3\/50*c**5 + 0*c**2. Factor o(r).\nAnswer: 2*r*(r - 2)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 - 0.82222982?\nAnswer: -46.82222982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -312003322310 + -221?\nAnswer: -312003323131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -2*t + 4. Let f be g(0). Let z(u) = -2*u**2 + 6. Let w(p) = -5*p**2 + 13. Give f*w(q) - 9*z(q).\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-2\/3))**(-1\/24)\/(x*x**(-2)*x)**0)**(-12))**8 assuming x is positive.\nAnswer: x**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-8\/5)*g)\/(g\/g**(-17)))**(-1\/6) assuming g is positive.\nAnswer: g**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 117288 times -44.9\nAnswer: -5266231.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:06 PM and 7:40 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d. Let m(j) = -797*j - 1. Determine h(m(w)).\nAnswer: -1594*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7.32 + -0.32. Put 2\/21, 3\/2, l in descending order.\nAnswer: l, 3\/2, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 4*-3*(sqrt(539) - -1*sqrt(539) - sqrt(539)) + (1 + (sqrt(539) + 0)*1)*-6)**2.\nAnswer: 756*sqrt(11) + 174645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bbd.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(720) - 6*(sqrt(720) - sqrt(720)*4)) + -4 - ((sqrt(720) - -1*-1*sqrt(720)) + sqrt(720) + (2*sqrt(720) + sqrt(720))*5))**2.\nAnswer: 8832*sqrt(5) + 6094096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 5, d: 2, y: 1, f: 1}. What is prob of sequence yggg?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 10*c**2 + 44*c + 44. Let w be q(-1). Solve -w*n = -4*n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**3\/7 - 1308*m**2 + 1599228*m\/7 + 4739452612\/7.\nAnswer: 4*(m - 1433)**2*(m + 577)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eeeeeeeyeeeee. Give prob of picking 1 y and 1 e.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 285192?\nAnswer: 2, 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {a: 2, q: 1, e: 4, o: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*s**2 - 3 + 2*s - 1 - 1 + 2*s**2 to the form n*s + p + i*s**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19575279 - 735279. Round l to the nearest one hundred thousand.\nAnswer: 18800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -39 in 5, 2\/47, -32, -3\/13, -2?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2395751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*p + 397*p**4 + 3*p - 37*p**4 - 5*p - 830 wrt p?\nAnswer: 1440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6.414+0.1\nAnswer: -6.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 2\/(0 + -1) + 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 1994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 105556028?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*y + 3059 = -14245. Calculate the highest common divisor of 1050 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2310*f*m**3 - f*m**2 + 8879*f*m - 439*m**3 - m**2 + 3*m - 3 wrt m?\nAnswer: -13860*f - 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*j = -2*j + 88. Solve -21 = j*f + 17*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -2*n**3 - 7*n**2 + 2. Let k be u(-4). Calculate the greatest common factor of 882 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -120633, -241383, -362239, -483249, -604461, -725923, -847683, -969789?\nAnswer: -1092289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 24 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 3*k = -5, -64*f + 32*f - 3*k - 7 = -34*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5514174?\nAnswer: 2, 3, 113, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvvvivivi. What is prob of picking 2 i and 1 v?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2352 - -3442. Does 59 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(((a\/(a*a**1)*a)\/a)\/a))**(2\/9)*a**(-1\/6)*a*a**(5\/2)*a*(((a**(1\/4)\/a)\/a)**(2\/11))**16 assuming a is positive.\nAnswer: a**(-1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14092201 to the nearest integer?\nAnswer: 3754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 1320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -52545600 to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3185445483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8729022*z**2 - 8421973.\nAnswer: -17458044*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -1\/10*w**5 - 1\/40*w**6 + 0*w**4 - 4*w**2 + 0 + 0*w + 0*w**3. Find the third derivative of p(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-141675)\/15112*(-4)\/(-5).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a = 13 - 27. Suppose -a*g + 3*t = -t - 4, 4*g - 5*t - 5 = 0. Is 23 a factor of (g - 5)*(1 + -47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 61964800 divided by -94\nAnswer: -659200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 3, g: 3}. What is prob of picking 3 g?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-70)\/(-84))\/((-2)\/(-12)). Suppose -4*q = q. Factor 1\/3*a**d - 1\/3*a**2 + q + a**3 + 0*a - a**4.\nAnswer: a**2*(a - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -p**7\/26460 + p**6\/840 - 2*p**5\/315 + 17*p**4\/6 - 129*p. Let k(b) be the third derivative of t(b). Factor k(m).\nAnswer: -2*(m - 8)*(m - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1482397 or -1482396?\nAnswer: -1482396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3434 - 3436. Put 3, m, 25, -5, -4 in ascending order.\nAnswer: -5, -4, m, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -23*m + 33. Determine q(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 228 = -3*y, 2*y = -0*y - 4*p - 138. What is the tens digit of ((-6)\/(-5))\/((-5)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/9*(-3)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-24)\/(-26))\/(1314\/(-8541)))\/((-1)\/1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/180720 and -73\/29427240.\nAnswer: 176563440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 107776146 to the power of 1\/3, to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 2160*s**2 - 84*s + 408. Let n(o) = 360*o**2 - 13*o + 68. Let l(v) = -13*n(v) + 2*q(v). Find the second derivative of l(u) wrt u.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m**3 - 16*m**2 - 22*m**2 + 38*m**2.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s**2 - 64037*s + 63719286 = 0. What is s?\nAnswer: 1011, 63026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 245560 to the nearest 1000.\nAnswer: 246000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38552641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -71944 - -14388841\/200. Find the common denominator of 109\/120 and l.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1161 by 27.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j**4 + 160*j + 1 + 164*j - 325*j - j**2 + 171*j**3 + 0 to i*j + a + u*j**3 + m*j**4 + o*j**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11857 + 19980. What are the prime factors of y?\nAnswer: 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - f - 489 = u, 2*u = -2*f + 232. Suppose -7*o + 3*o + 4*d = 20, 4*d + 52 = -5*o. Let x = o + 19. What is the greatest common factor of x and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**2*w**3 + 5*o**2 + 195*o*w**3 - 28*o*w**2 + 2 wrt w.\nAnswer: -6*o**2 + 1170*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - (-38 + 27 + (-2 - 5)). Solve -5*s = -6*s - 4*c - n, 4*s - 29 = 5*c for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5117 + -718. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - 7*a**5\/60 - 7*a**4\/24 - a**3\/3 - a**2. Suppose -24*r = 160*r + 1104. Determine i(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -b*d*t**2 + b*t**2*z - 3*b*t*z - 13*d*t**2*z + 2*d*t*z wrt d?\nAnswer: -b*t**2 - 13*t**2*z + 2*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j + o + 198, 22*j - 21*j - 2*o - 32 = 0. Solve -3*k + j = 37 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-6\/5)\/(y*(y*(y\/(y\/y**(-2\/9))*y*y)\/y)\/y))\/((y\/y**3)\/(y**(2\/3)\/y*y)) assuming y is positive.\nAnswer: y**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x*x*x**(2\/9)*x*x**(-3\/7))\/(x**(-8)*x\/x**(-2\/15)) assuming x is positive.\nAnswer: x**(3358\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5236)\/770)\/(17\/(-25))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 119369.\nAnswer: 79, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -2*q**3\/3 - q**2 - 3*q - 22. Let h(g) be the second derivative of g**2\/2 - 18*g. Let o = 22 - 17. Calculate o*h(x) + p(x).\nAnswer: -2*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -c48 (base 13) in base 10?\nAnswer: -2088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2.5 + 3. Let v = 344 + -362. Put 0.4, c, v in ascending order.\nAnswer: v, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 3. Let w(v) = 4*v - 14. Let r(i) = 11*q(i) + 2*w(i). Let k be r(-6). Suppose -107 = -4*h - k. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 5*z**5 + 0 + (5 - 5 + 2*z**2)*(-3*z + 0 + 0)*(-14*z**2 + 7 - 7).\nAnswer: 89*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -250353, 4.\nAnswer: -250353, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -864 or -854?\nAnswer: -854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**5\/5 + 12*l**4\/5 + 32*l**3\/5 - 14*l**2 - 45*l + 50.\nAnswer: (l - 2)*(l - 1)*(l + 5)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from {b: 5, s: 2, k: 1, m: 1, l: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w + 5 = 281. Suppose 39*o - 846 = -102*o. Calculate the smallest common multiple of o and w.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -n, 0 = r - 2*n - n - 9. Suppose -5*k + 19 = 6*v - 5*v, -5*v = -4*k + r. Find the second derivative of -12*b - 35*b**4 + 9*b**k + 32*b wrt b.\nAnswer: -312*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v + v + 2*v + v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from sssssdsssssd?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((0 + 1)*(-439411)\/21)\/(23\/(-69)).\nAnswer: 62773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of 3 + 0*q**2 + 1\/6*q**4 - 2*q + 0*q**3. Let o(t) be the first derivative of z(t). Let l(n) = -4*n**2. Calculate o(l(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 920258232.\nAnswer: 2, 3, 131, 292703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1362*x**5 + 1850*x**5 + 6708*x**5 + (2 - 1 + 0)*(-4*x**5 + 5*x**5 + x**5) + 3*x**5 - x**5 - x**5.\nAnswer: 9923*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 512120027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -10*n. Let q(p) = 12*p. Calculate o(q(u)).\nAnswer: -120*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 386662313.\nAnswer: 1601, 241513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 12*k - 3. Let a be b(-12). Let t(p) = -9*p - 4. What is the remainder when 89 is divided by t(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the third derivative of -4\/33*i**3 + 0*i**4 + 0 + 1\/660*i**6 - 10*i**2 + 1\/110*i**5 + 0*i. Let r(f) = 0. Calculate f.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 0 - 2)*(368 - 185 + 68*z - 184).\nAnswer: 272*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**3 + 24*a**2 - 22*a + 68. Let v be (-71 + 69)*7\/2 - (-2 + 8). Calculate i(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mezm when four letters picked without replacement from pmxzxae?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1163, -2334, -3511, -4694, -5883, -7078, -8279?\n\"Answer: -3*d**2 - 1162*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, 2, 8, 16, 26, 38?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -j - 10*j**4 + 3*j - 2*j**4 wrt j?\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -463 - -195a?\nAnswer: 14a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-1 + 0 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7.1, 0.3, 0.59, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*v + 32 = 4*v. Let k(m) = 1003 + m**3 + 2*m**2 - 2016 + m**2 + 1010 + 6*m**2 + 10*m. Calculate k(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 115521 (base 7) to base 12.\nAnswer: 10313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -101219, -202439, -303645, -404837, -506015, -607179?\n\"Answer: 7*q**2 - 101241*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 3) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b93 + -8?\nAnswer: -2b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*b + b = 10, -4*b = -2*w + 20. Let x(i) = i**2 + 3*i - 13. Let r be x(-6). Let v be (-4 + r)\/((-1)\/w). Sort v, 5, 0 in increasing order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -6.2199, 23, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 - 15. Let b(p) = m*p - 3*p + 2*p. Let t(w) = w. Let i(z) = -z**2 - 3*z. Let u(n) = -i(n) - 3*t(n). What is b(u(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -5*g**2 + 4*g**2 + g**3 + 2*g**2 - 2*g + 3*g**2 + 1. Let c be z(-4). What is the greatest common factor of c and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 5*u - 222, -129 = -3*u + 2*t + 4. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the third derivative of -o**6\/120 + o**5\/15 - o**4\/24 + o**3\/3 - 25*o**2. Let w be t(3). Solve -5*r - 1 - w = -2*p, 8 = 2*r + 5*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/6)\/(98\/102 - 1). Let m = -24 + 13. Let h = m + z. Solve 3*g = -3, h*y - 3*y + 4*g = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -62*h + 192. Give n(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -131.0544 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes before 7:45 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 552 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 244515 (base 9) in base 13?\nAnswer: 522aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 + 9*j**2 - 7*j - 6. Let v be p(8). Suppose 5*c + 10 = a, -3*c - a - 3 = -5. Let h = 92.1 + -98.1. Put c, h, v in decreasing order.\nAnswer: v, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 8, 14, 26, 44, 68, 98?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4 = -l - 3*l, i - 5 = -3*l. Suppose -30 = -2*b - l. Suppose -3*n + 25 + b = 0. What is the remainder when 38 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r - 1. Let x(z) = -z + 1. Let p(h) = -2*w(h) - 2*x(h). Let m(y) be the first derivative of -y**3 + 442. Give p(m(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 366858491 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1120 (base 8) to base 14.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 11 - (8 + -7) - 1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -2*r**2 + 2*r - 11555. Let m(k) = 7*k - 4. Give 6*m(d) + 11*o(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 6*-6\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8917.1 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -806 or -797?\nAnswer: -797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2858442 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2*n + 124708010 = 0, -31176990 = c + 83*n - 85*n. Round c to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6.3 + -9. Let s = 2.5 + j. Which is the smallest value?  (a) 1\/5  (b) -2\/15  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 2\/3, -25, -5, 3, 98?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 243463748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -101.28933 + 101.3. Round o to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 4*x**2 + 2*x - 5. Let g be k(-5). Let u = g - 54. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 487.8958275 to zero dps.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -8*c + 16. Give u(-36).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2. Let v(w) = 2*w**2 + 4134. Calculate v(r(t)).\nAnswer: 2*t**4 + 4134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 1789*f - 5376. Calculate i(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 - 571901853?\nAnswer: -571901852.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 7 = -1. Let w = -0.9 - 0.1. Let p be 4\/14 - 5\/14. Which is the third smallest value?  (a) p  (b) w  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 9312335717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l + 645 = 12*l. Suppose -5*p = 5*a - 2510, 2*a - p = 356 + l. Is 27 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4 - (2 - 0\/((-24)\/4)). Solve -t - 5*n + 9 = m*t, 3*t + 12 = 2*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 16*f**2 - f + 1. Let p be r(1). Let g = -4 + p. What is the highest common factor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 421 = 38*s + 877 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 188299*q - 47. Let n be z(3). Suppose -81*r + n = -26*r. Round r to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 4178905 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 182*y - 1. Let h be a(1). Let k(t) = 13*t + 15 - h*t - 95*t. Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.89 - -0.11. Which is the third smallest value?  (a) -4  (b) -0.1  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 531 = -211*k - 294 - 230 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(o**41*o)*o*(((o**(1\/2)*o)\/o)\/o)\/o*o*o)**(1\/39) assuming o is positive.\nAnswer: o**(-79\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2813 + 1399 + 2115*t + 1414 to x*t + s and give x.\nAnswer: 2115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*151\nAnswer: 60.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36285*k**2*m**2*y**2 + 11731904*k**2*y**2 + k**2 - 2267*m**2*y**2 - 2*m*y + 7*m wrt m?\nAnswer: 72570*k**2*y**2 - 4534*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, d: 1}. Give prob of picking 1 g and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and 132514001?\nAnswer: 662570005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 843 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*d - 19*d + 22 = 0. Solve -5*z = d*z - 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 99.63 - 99. Let v = n - 10.63. Is v equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14695 + -14691.77393. Let r = -0.22612 + o. Let a = 3 - r. What is a rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 75*s = -74*s + 9, d = -5*s - 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 734 + 5?\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w**2 - 8*w + 7. Give c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -0.5  (c) 0.02  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4311*j**3 + 3*j**2 - 31*j + 46.\nAnswer: -25866*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 169 = -r + 38*i, -40 = 5*r + 2*i for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1547697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*s + 682 = 12*s. Let z = s + -30. Which is the nearest to 2\/5?  (a) -1\/3  (b) 3\/4  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19934*d = 1349*d + 353115 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97938 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w - 13. Suppose 3*m + 9 = -2*o, -2*o - 3*m + 6*m + 9 = 0. What is s(o)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.78 + -2.1. Let k = -1.68 + u. What is the second smallest value in -2\/5, 6\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.2  (b) -2  (c) 261  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (29250\/35 - 4\/(-14) - 2) + 3. Calculate the highest common divisor of q and 186.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -107 - -63. Let d = 43.999852 + f. What is d rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -7*h**4\/24 + 11*h**3\/6 - 1277*h**2 - h. What is n(6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3504619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/2*(-6)\/15. Let x = 5\/6 - 1\/2. Which is the third smallest value?  (a) j  (b) x  (c) -3  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 809750 divided by -9875.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*c - 2*c - 6*c + 11*c.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3688334 divided by 3688334.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 693372965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 490 (base 12) to base 13\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 151 and 0.07?\nAnswer: 10.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 8 = h. Let n = 76 - h. Let o = n - 43. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2829 - 1956. What is the hundreds digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 834297*s**4 - 834301*s**4 + 12*s - 13*s + 45 + 10*s**3 to n*s**4 + y*s + l*s**2 + u*s**3 + a and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 21*i**2 - i**3 + 3 + 23*i**2 + 0*i**3 + 5*i - 40*i**2. Give l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 819 = 203*u - 194*u. What is the second derivative of -77*w + 275*w - 69*w - 101*w**5 - u*w wrt w?\nAnswer: -2020*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -75, -1551\/7, 1 in decreasing order.\nAnswer: 1, 0.2, -75, -1551\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 2\/3)*(-7 - -22).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 432*k - 428*k + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 24  (b) 133  (c) 1\/3  (d) -3  (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 52*u - 408 = -12*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*z**4 + 35492068*z - 179091094?\nAnswer: -8*z**3 + 35492068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 83\/5256 and 25\/36.\nAnswer: 5256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01 times 63270?\nAnswer: -632.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oopaooooooopooooaaoo. What is prob of sequence poap?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 348, 1679, 3010?\n\"Answer: 1331*d - 983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.79 - 1.38. Round q to 2 decimal places.\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7c + 0?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31300106*j**3 - 168*j + 51120 wrt j.\nAnswer: 187800636*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 64390, 128796, 193200, 257602, 322002, 386400?\n\"Answer: -j**2 + 64409*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -i**3 - 2*i**2 + i + 2. Let n be q(-2). Let k = 2 + -5. Let m = 1 + -0.9. Which is the closest to m?  (a) k  (b) n  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2255.42 rounded to zero decimal places?\nAnswer: -2255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -36 + 79 + -24 - 56?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqwawwamqqawwawaawq. What is prob of sequence wqa?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 6*b - 90. Suppose 8*a - b = 3*a. Sort 1, a, -5 in increasing order.\nAnswer: -5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 1:56 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.0633 and 111.848?\nAnswer: 111.9113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 5) to base 6\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 59398\/37105 - 6\/7421. Let x(w) be the second derivative of 0 + 0*w**4 + 13*w**2 + 27*w - y*w**5 + 0*w**3. Differentiate x(r) wrt r.\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + 14*d**2 + 14*d + 17. What is the smallest common multiple of 664 and t(-13)?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 2*d)*(-2*d - 3*d + 511 - 515) to the form b*d**2 + n + w*d and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1122 + 10?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k**(1\/3)\/k))**(-2\/9)*k**(-10)*k*k*k**(9\/2)\/k assuming k is positive.\nAnswer: k**(-263\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*g**2 + 5*g - 5*g - 1397*g**3 + 1404*g**3 to k*g**3 + b*g + v*g**2 + h and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vuuvuuvuuuuuuu. What is prob of sequence vvvu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(3\/4)\/q)\/q**(3\/8)*(q**(-2\/7))**(3\/22))**(15\/11) assuming q is positive.\nAnswer: q**(-6135\/6776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n = -6 - 10. Factor -n + 5*s - 7\/2*s**2 + 3\/4*s**3.\nAnswer: (s - 2)**2*(3*s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.1 + 6.9. Let y = -2.669 - -2.869. Which is the closest to y?  (a) 1  (b) v  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -247 * -171605\nAnswer: 42386435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -55041 (base 6) in base 12?\nAnswer: -4481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a**2 + 1 + a**3 - 5*a + 6*a**3 + 3*a - 6*a**3. Let d be k(3). Let b(o) = -o**2 - 6*o - 3. Let u be b(-6). Sort d, u, 0.\nAnswer: d, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*f**3 + 121267362*f**2 + 946874611*f?\nAnswer: -24*f + 242534724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 4*d**2 + 20*d - 14. Determine w(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3425?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z\/(((z*z\/(z*z*z**(1\/24)))\/z)\/z)))\/z*z*z**(-3\/7)\/z*((z\/z**(-11))\/z)\/(z\/(z**6*z)) assuming z is positive.\nAnswer: z**(1937\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15613823.4 hours to weeks.\nAnswer: 92939.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/2130471 and 2\/3550785.\nAnswer: 10652355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5780)\/(-12) - (7\/(-21) + 0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-50)\/(-20)*6\/(-5). Let u(o) = -64*o + 142. Is u(a) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/30 + 14\/6. Let t be (-540)\/(-4) + j + 3. Is (t\/15)\/(3\/18) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (8\/(-6))\/((-16)\/24). Put i, 0, 11, -3 in increasing order.\nAnswer: -3, 0, i, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -548 - 5?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) -41\/4  (b) -2  (c) -3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -2019.\nAnswer: 1\/2019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 554933 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - w**2 - 2*w + 6. Calculate the remainder when (11 + 0)*(8 - 6) is divided by u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 - -17. Let c = 11 + f. Suppose p = c*y + 58, -3*p - 5*y + 174 = -0*y. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -o**2 - 12*o + 6. Let t be q(-12). What is the greatest common factor of t and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*n = -3*n - 8. Let w = 21 - 21. Let v = -4 - w. Sort v, n, -2.\nAnswer: v, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 243 - 138. Calculate the highest common divisor of 255 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 q when three letters picked without replacement from qigogigqggggfge?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**4 + 2*j**4 + 2*j**4 - 2 + 2 + 2*j**4 + (2*j**4 + 0*j**4 - j**4)*(2 - 3 + 3) + j**2 - j**2 + 2*j**4 - 5249*j**4 - 133*j**4 - 5 + 5.\nAnswer: -5374*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 643, 1834, 3869, 6796, 10663, 15518, 21409, 28384?\n\"Answer: 8*y**3 + 374*y**2 + 13*y + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*v + 2257674 - 341048 = -379086. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 158853 = -m, 569*m + 158853 = 570*m + 5*o. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 26854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3933, 0, 1, -3, 5 in decreasing order.\nAnswer: 3933, 5, 1, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -15624*k - 5187160. Give i(-332).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 3*h = -123 + 114, -h + 3*h - 18 = 2*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -264100000 to the nearest 1000000.\nAnswer: -264000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -126*f + 55. What are the prime factors of n(-11)?\nAnswer: 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 48333073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -7*g**3\/6 - g**2\/2 - 4*g. Let u(w) = -8*w - 1. Determine -5*u(c) + 6*x(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*t**3 - 13 - 3*t**4 + t**4 + 11 to the form u*t**4 + i*t**3 + v + o*t**2 + d*t and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.03 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add 2 and -0.39.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 1073202\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 11062848 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 0, 3660?\nAnswer: 3660","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 407483*q**5 + 185877*q**2.\nAnswer: 24448980*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.14 in -2, 0.03, 2\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 424211 and 13943?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 + -1. Let u be 1080\/18 - -2*(1 - 3). Suppose 28 = 7*b - u. Calculate the remainder when p is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1963183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from ovooooomvooooo?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ggiigggggigigg. Give prob of sequence gig.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/2*k**3 - 9*k**2 - 12 - 18*k.\nAnswer: -3*(k + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-1))\/((-22)\/55*10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**2 - 83*l + 1256. Determine b(63).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 1\/9  (c) -2  (d) 1  (e) -46  (f) 0.118916\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38 - -63) + 11 + 6 - (-11 - -19).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -23*s**2 - s + 1. What is c(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -1080*t. Let c(r) = 5*r. Give i(c(s)).\nAnswer: -5400*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 106\/10 + (-6)\/10. Solve 5*n - 15 = x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -3*z**2 - 39*z + 21. Calculate a(-14).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 59*d**2 - 694*d + 250. What is f(69)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -289.75 and 0.03281.\nAnswer: -9.5066975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve q + u = -13, -66*q + 52*q - 3*u - 32 = u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 2*p**3 - 367454*p**2 + 16893778160*p - 1466978757600 = 0.\nAnswer: 87, 91820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -22780000 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -31124+496909.4\nAnswer: 465785.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -10548.9, -1\/46, 1\/6, -5?\nAnswer: -10548.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -28  (b) 0.05  (c) 1  (d) -2  (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (68 - -1)\/(((-18)\/213)\/6). Does 25 divide (-2)\/12 + l\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6004019711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10.59999874 - 10.6. Round b to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-255)\/10)\/(28*(-120)\/(-2240))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -202?  (a) -4  (b) -5  (c) -16  (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mbbyybhppb. What is prob of picking 1 m and 1 p?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 267 a factor of 27234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 1:25 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {q: 1, m: 2, p: 6, e: 2, c: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3477110, 6954208, 10431306, 13908404, 17385502?\nAnswer: 20862600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v**2 + 14*v**2 - 22*v**2.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -39. List the prime factors of u.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 863 and -14.31.\nAnswer: 848.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + 6. Let n = q - 16. Solve -2*z + 3 - 5 = n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -19809 + 19809.40362. What is h rounded to two dps?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*w + 179 + w**2 - 6*w**3 - 3*w**2 - 7*w**4 + w**2 - 179 as c*w**2 + b + m*w**3 + r*w**4 + g*w and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/4*(-124)\/186?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g**2 - 3*g + 3*g + 1)*(-1290 - 50*g + 1290) in the form a + d*g**2 + w*g + p*g**3 and give p.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z - 3*f + 9 = 0, 33*z - 3*f = 32*z - 44 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 231084 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-11 + 5 + -2 + 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 2 - 3 + 4 - 1. Let s be m(-2). Let z(y) = 5*y - 6. Let t(b) = 4*b - 5. Let d(a) = -6*t(a) + 5*z(a). What is d(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 84232*q + 9 = -84234*q, -4*q = -3*u + 23 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of -q**5\/60 + 137*q**4\/24 - 480*q**2. What is d in i(d) = 0?\nAnswer: 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 6:23 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4, 82, 332, 838, 1684, 2954, 4732?\n\"Answer: 14*o**3 + 2*o**2 - 26*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.922 - 0.078. Let x = -6 + 5.6. Let p = -0.6 - x. Which is the smallest value?  (a) 0.1  (b) p  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, u: 2, n: 1}. What is prob of picking 1 r, 1 n, and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3 + (0 - 1 - 1)*(6 - 1 - 3) + 1 - 2 - 2)*(3*w - 4*w - 9*w).\nAnswer: 90*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(1100) + 2 - sqrt(1100).\nAnswer: -30*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -867*l**5\/11 + 514216*l**4\/11 - 76012843*l**3\/11 - 68891534*l**2\/11 - 1186380*l - 64152 = 0. Calculate l.\nAnswer: -2\/3, -2\/17, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/69 or -2\/3035?\nAnswer: -2\/3035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11552 - 8051. Suppose k + h = g - 0*k, 5*g - 17502 = 2*k. Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 2*u + 6 = -u, 2*u = i - 4. Let q(p) = p**2 + p + 1. What is the units digit of q(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1423008 is divided by 11031.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 19 = -5*f. What is the units digit of (f - -8)\/2 + 46?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-4)\/105*-5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -76 - 1788*m + 76.\nAnswer: -1788*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -4. Suppose -k*w + 10 + 10 = 0. Let u be (3 + 11\/(-3))\/(4\/(-30)). What is the highest common divisor of u and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 5.951 and 0.5?\nAnswer: 5.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is (1 - 0)\/(-2)*(-3898)\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216280357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 4*g + 20, 5 = 3*b - 2*g + g. Suppose 5*i - 16 - 4 = 0. Suppose -64 = -i*s - f - 4*f, b = f. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -499.309 + 0.2086.\nAnswer: -499.1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1c349b - 3?\nAnswer: -1c34a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-18\/7))**(-4\/3)*(p**(-1\/5)*p)**(2\/29) assuming p is positive.\nAnswer: p**(3536\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(17))*-1 - (sqrt(102)*-1)\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 832, 997, 1236, 1555, 1960, 2457?\n\"Answer: u**3 + 31*u**2 + 65*u + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -17272242 times 2?\nAnswer: -34544484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 - 38. Let v = -10 - k. Let m = -1.2 + 0.2. Which is the third biggest value?  (a) m  (b) -1\/3  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g. Let t = 5 + -3. Let f(n) = 3*n. Let l(d) = -9*d. Let x(w) = -17*f(w) - 6*l(w). Let a(h) = t*o(h) + 3*x(h). Calculate a(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in two fifteenths of a week?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46.2 + -46. Let t = -67 + 85. Let d be ((-4)\/t)\/((-15)\/9). What is the third smallest value in d, -6, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 563.5428ng in milligrams?\nAnswer: 0.0005635428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3279 or 3281?\nAnswer: 3281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*(-142 + (-77)\/(3850\/(-2000))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -846 + 1357 = 79*k - 1069 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0074576 rounded to 5 dps?\nAnswer: -0.00746","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 502 - 18. Let y = -293 + s. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 43 divided by -1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 24 + 0\/(-2) + 2. Let a = -21 + r. What is the third derivative of -f - 6*f**2 + 2*f**a + f - f**2 wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of -q**6\/120 - 221*q**4\/24 + 112*q**3\/3 + 148*q**2. What is the first derivative of d(m) wrt m?\nAnswer: -3*m**2 - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -892 - 328 = -4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 5*b + 15 = -u, -5*u + 2*b - 29 = 0. Let k = -5 + 3. Let r = 107 + -106. What is the nearest to 0.03 in k, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1317 is divided by 83.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 1 = 19. Let u = -4 - g. Let w be (2 - 0) + (2 - u). Solve 2*a - 6 = w*b, 12 - 3 = -3*b - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 346439 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/5))**11 assuming t is positive.\nAnswer: t**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 124.3 - 130. Let d = -6 - p. Let m = -24\/119 + 1\/17. Which is the nearest to -0.1?  (a) d  (b) 1\/6  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2468.3547 months in decades?\nAnswer: 20.5696225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-13) - (-57)\/((-46683)\/(-1062))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.5  (b) 0.1  (c) -78  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 210200010111 (base 3) to base 6\nAnswer: 13050451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (o - 3*o + 0*o)*(o**3 - 179*o - 6*o**3 + 204*o).\nAnswer: 10*o**4 - 50*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 248722 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (36\/48)\/(2\/24). List the prime factors of 159\/(-18)*-2*z.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 226 divide 152612615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of 1\/3*g**3 - 1\/60*g**5 - 1\/24*g**4 + 0*g + 15*g**2 + 0. Let j(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 562?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 10:53 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5378.98g to micrograms.\nAnswer: 5378980000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jzjz when four letters picked without replacement from {j: 11, z: 3}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**1\/(q*q*((q*q**(-15))\/q)\/q) assuming q is positive.\nAnswer: q**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -237480 divided by -3\nAnswer: 79160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - 11*k + 30. Let y be d(7). Find the second derivative of 60*r + 17*r**y - 4*r**5 + 2*r**5 + 32*r - 12*r wrt r.\nAnswer: -40*r**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of -149*g**6\/15 + g**4\/12 - 389*g**3\/6 + 48*g - 1. What is the third derivative of c(y) wrt y?\nAnswer: -7152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 8*r**3 + 9*r**2 + 8*r + 8. Let f(s) = s**3 + s**2 + s + 1. Calculate -18*f(i) + 2*w(i).\nAnswer: -2*i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 27, 44, 63, 84?\n\"Answer: l**2 + 14*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 104*j - 102*j - 8, 0 = -2*c - 4*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-7)\/k*k**(-1\/3)*k*(k\/(k*k*k**(-2\/7)))**(4\/9)*(k*k**(4\/7)*k*k)\/k**7*k**7*k**(-5\/2)*k assuming k is positive.\nAnswer: k**(-703\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*u - 4*u + 7*u)*(-9 - 4 + 6)*(-2 - 2 + 2) as p + o*u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 821 + -822. Let s = 13 + -8. What is the nearest to h in 1\/3, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 21. Let r(f) = -5*f**2 + 0*f**2 + 1 + p. Give r(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8252 and 13850982?\nAnswer: 4126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 353415335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114*x = -68*x - 1748. Let p(m) = 2*m**2 - 13. Calculate the remainder when p(-10) is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 66072186 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -2*j**4\/13 - 386*j**3\/13 - 23932*j**2\/13 - 537904*j\/13 - 2720256\/13 = 0.\nAnswer: -96, -46, -44, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 93\/4000 and -1\/21600.\nAnswer: 108000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*k - 3*x, x - 16 = k - 5*k. Let j(t) = 22*t - 9. What is the units digit of j(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2. Let l(d) = -7*d**2 - 17*d - 17. Let v(z) = -6*k(z) - l(z). Let a be v(-8). Let h = a + 65. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(77)*-6 + 5*sqrt(77)*-2)\/(((sqrt(56)\/(sqrt(8) + (sqrt(8) - ((sqrt(32)\/sqrt(4) - sqrt(8)) + sqrt(8)))) - sqrt(7)) + sqrt(252)*-1)*5).\nAnswer: 14*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - 13*h + 2. Let j be t(-13). Suppose 5*x = 2*o - 4, 3*o + 2*o - 4*x - 27 = 0. Solve o = -4*s - 5*i - j, -5*i - 33 = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 8 = 4. Factor -30 - 9*a + 5*a**2 + 12*a**b - 14*a**2.\nAnswer: 3*(a - 5)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 12) to base 8\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3 - 4\/(8\/26). Let u be 0\/(-3)*1 - r. Suppose -5*j = 3*m + m + u, -j - 3*m = 1. Let g(x) = -x**2 - 6*x - 4. Determine g(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(1 + sqrt(80) + 2*sqrt(5)*-6))**2.\nAnswer: -400*sqrt(5) + 8025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 - (6 - (3 - -6)) - -11 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 580, 1160, 1740, 2320?\nAnswer: 2900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of h**6\/120 - h**4\/24 - h**2\/2 + h. Let l(x) be the first derivative of r(x). Factor l(v).\nAnswer: v*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3683086326?\nAnswer: 2, 3, 4933, 41479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + -10.117311419.\nAnswer: -10.017311419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -3*p**3 + p**2 + 6*p - 17. Let l be z(3). Let t = 425\/6 + l. Which is the nearest to 1\/5?  (a) 4  (b) -0.2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 + 3*s + 6. Let g be u(4). Let h be ((-12)\/(-22) + 0)\/1. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + 3. Suppose -2*b - b = -4*r - 20, 0 = 2*b - 3*r - 14. Suppose -k = 3*z - w - 4, -b = 2*k. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000007817576 to 7 decimal places.\nAnswer: 0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20983 is divided by 239.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 272.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -221*t - 701*t - 484*t + 67870 - 14442 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uuzuzuuuuuuuu?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 7 = -728*b + 729*b, 2*b = 4*i - 42. Solve i*o = -168 + 112 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100 (base 3) in base 14?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*r**4 - 98*r**2 + 38*r + 2?\nAnswer: -36*r**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1106 + 2143. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8544.98887 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 57803100 to the nearest 1000000.\nAnswer: 58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -6582988.76728 + -25\nAnswer: -6583013.76728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -758 + 2076. Suppose -l = -12*s + 98. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 14) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 23*u + 1096. Let k(q) = 8*q + 364. What is -6*a(y) + 17*k(y)?\nAnswer: -2*y - 388","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i + 12. Let d be z(11). Suppose -13 = v - 5*c, 4*v + c + d = -9. Let n(a) = 2*a**3 + 5*a**2 + 3*a + 2. What is n(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -71 - 93 + 49 - 138 - 29 + 14*p. Let b be l(25). Calculate the highest common divisor of b and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 + (73 - 32 - -38)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000042198 rounded to 7 decimal places?\nAnswer: -0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 985662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**1*m)**(-2\/73)\/(m**(-2\/7)*m*m\/(m**(2\/7)*m*m*m*m)))\/(m**7\/m**(-7))**28 assuming m is positive.\nAnswer: m**(-199026\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 12766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bfk when three letters picked without replacement from nkiimknkikbf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a minute in milliseconds?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 t when three letters picked without replacement from {t: 4, x: 2, n: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28 + 25. Do z and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q\/(q\/q**(-1\/14))*q\/(q*q\/(q*q**(1\/28)\/q)) assuming q is positive.\nAnswer: q**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 130\/525 + (-27)\/567?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence slek when four letters picked without replacement from eaallaeskla.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 8.3315*-2\nAnswer: -16.663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -3359564 divided by -129214?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 5*q**2 - 30*q - 141. What is n(18)?\nAnswer: 939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101100110101 + -101?\nAnswer: -101100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the second derivative of k**4\/6 + 13*k**3\/6 - 4*k. Find the second derivative of f(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2123315276?\nAnswer: 2, 107, 4961017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -4409 divided by 85737\nAnswer: -4409\/85737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-122)\/61)\/((-6)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - c + 3. Let h be b(4). Let r = -126 - -268. Let m = -82 + r. Calculate the highest common divisor of m and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4\/(-12))\/(1\/(-9)). Suppose 0 = -b + 5*l - x, 2 = l. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -1  (c) -3  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 8) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 44 = 3*q - 57, -2*q + c = -64. Let j(l) = -8*l. Let f be j(2). Let x = f + q. What is the remainder when x is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20, 6, -18, -52, -96, -150?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*c**2 - c**2 + 0*c**2)*(24 + 23*c - 44*c + 22*c) as k*c**3 + b*c + i + w*c**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 2*k + 8. Give z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6\/(-1 - -4) - -2. Suppose c*s - 57 = t, -t = -0*t - 3. Let g = 284 + -164. Calculate the highest common factor of g and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(-5*t + 3*t - 2*t) + 2*t + 3*t - 7*t - 4 - t + 4 + 0 - 2*t + 0 + (0 + 2 + 0)*(-t + t + 2*t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-37 + 18050\/550)\/(4\/(-10)) - 10.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jttjtttj. What is prob of picking 3 t?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -14569*g**2 - 174319*g wrt g?\nAnswer: -29138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 31 = -q, 4*p + 2*q + 2*q - 28 = 0. Solve -g = -4*g - p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*d - 91 = 4*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -73 + 75. Calculate the least common multiple of r and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 2*j - 24 = 7*t, -3*t + j = -47. Suppose -2*x = -18 - t. Solve x + 14 = -6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*(-81)\/(-4320)*5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d - 2. Suppose -9*h - 9 + 108 = 0. Let k be (((-275)\/30)\/h)\/((-3)\/18). What is x(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7699*t - 7697*t = -2*l + 274, -4*l + 530 = -5*t. What is the remainder when l is divided by 0 + 68 + -1 + 1?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 919, 1821, 2721, 3619, 4515, 5409?\n\"Answer: -m**2 + 905*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 82584 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 10*l - 9. Suppose 4*i = -5*u - 142, -i - 30 = 7*u - 3*u. Calculate the lowest common multiple of (-8)\/32*(i + 2) and o(3).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 11*c**7\/42 + 2*c**3\/3 - 5*c + 12. Let y(j) be the first derivative of n(j). What is the second derivative of y(l) wrt l?\nAnswer: 220*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -310924*a**2*h*u**3 + a**2*h + 27*a**2*u**2 - 13*a*h*u**2 + 44*h wrt u?\nAnswer: -1865544*a**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o + 8. Suppose -4*v + 11 = -13. Let i be m(v). Let x(h) = -3*h + 44. Let w be x(13). Solve w*p - 4*q + 1 = -3, 2*q + 16 = -i*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -357342, -357346, -357350, -357354, -357358, -357362?\n\"Answer: -4*m - 357338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55154 and 360088.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 3*f + 3*f + (-2 - 1 + 4)*(2 + 2*f - 2))*(-5 + 0 + 4).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22393742 or -22393740?\nAnswer: -22393740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 100\/(-224) + 6\/(-48)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5482 - -5487. Let c(m) = -8*m**2 - m - 9. Let r(a) = 5*a**2 + a + 6. Determine z*c(v) + 7*r(v).\nAnswer: -5*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (i**2 - i + i)*(-108*i**2 + 23*i**2 - 29*i**2) in the form p + o*i**2 + s*i**4 + b*i + l*i**3 and give s.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -304 + 23 = 217*d - 1149 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 5, -2, 0.06, 1\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 201189739 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 348565 and -0.00403.\nAnswer: 348564.99597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w**2 + 580*w = 0.\nAnswer: -116, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {u: 4, m: 6, t: 1, r: 1, v: 2, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -3*h**4\/2 + 5*h + 7. What is the derivative of q(z) wrt z?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -6. Let n = 12 - p. Calculate the highest common factor of n and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 175817\/18 - 9763. What is the common denominator of 31\/12 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 + -15622\nAnswer: -15621.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3395629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 392*x**2 - 2*x + 4*x - 7*x - 398*x**2 + 5*x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*k**3*r**2 - 82*k**3 - 269669*k**2*r**5 - 4851*k*r wrt r?\nAnswer: -4*k**3 - 5393380*k**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -34\/45 and -2\/81?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u**2 - 4*u**2 + 6*u**3 + 0*u**2 as t + k*u**3 + s*u + g*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 12:57 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 6*x - 17. Let w(u) = 5*u - 15. Let r(v) = 4*k(v) - 5*w(v). Calculate r(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 14*d + 180 = 0. What is the remainder when 197 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -1246?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -16754\nAnswer: -1\/8377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from {f: 4, o: 1, u: 2, q: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7\/141 + -5951\/2256. Find the common denominator of p and -7\/94.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of g**5\/20 - 5*g**4\/3 + g**3\/3 - 21*g**2\/2 + 22*g. Let r be n(20). Calculate the greatest common factor of 209 and r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 177 is divided by 159.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -49 + 86 + (-4 - (1 - 6)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cwyxydxbw. What is prob of sequence xdw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42698 + 47268.6. What is w rounded to the nearest 100?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.776803 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 2 = -5*i + 5, 15 = 5*i. Let k(y) = 23*y - 7 - y**2 - q*y - 5*y + 0*y**2. Determine k(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-681*w - 28 - 29 + 88 - 31)*(-3*w + 2*w + 3*w + (0 + 4 - 1)*(w - w - w) + 6*w - w + 0*w) in the form s*w**2 + z*w + k and give s.\nAnswer: -2724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 49, 301, 959, 2227, 4309, 7409?\n\"Answer: 34*p**3 - p**2 + 17*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 175 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - a - 257 = 34, -2*a + 282 = 4*x. Let r = 105 - x. Suppose 2*f - r = -f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z**3 + 7*z**3 + z**3 + (z**2 - 4*z**2 + 2*z**2)*(z + 0 + 0).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 times 1480750?\nAnswer: 16288250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h - 9. Let o be s(-8). Put -2, o, -3 in ascending order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 61178 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u\/u**(-12\/13)))*u)\/u**(1\/16))\/(u\/(u\/u**(-7\/3)))**40 assuming u is positive.\nAnswer: u**(60025\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-36) + 7\/9. Let u be ((-2)\/7)\/(12\/(-28)). Let c = -291369 - -582733\/2. Put c, j, u in increasing order.\nAnswer: c, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14754 and 663?\nAnswer: 3260634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 14 = -p, 204*o - 207*o - 30 = 3*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 - -4. Suppose -5*l = o - l - 13, -5*o + 4*l + 113 = q. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l**2 - 12*l**2 - 8*l**2)*(1 + 6*l - 2 - 1).\nAnswer: -90*l**3 + 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4652*s**3 - 275*s*u - u - 186278 wrt s?\nAnswer: 13956*s**2 - 275*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ahcccanndhhhnccchc. Give prob of picking 1 n and 1 c.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 3*r = -93. Let p(x) = x**2 - x + 5. Calculate the remainder when r is divided by p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0081031 - 73.0025969. Let f = -73 - c. Round f to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from bbeefebb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52015731.\nAnswer: 3, 443, 39139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 782a3 (base 11) to base 2\nAnswer: 11011101101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v**3 + 3*v**3 + 3*v**3 + (-2*v**2 + v**2 + 4*v**2)*(-2*v - 3*v + 4*v) - 3 + 3 - 3*v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 0, -78, -212, -402, -648?\nAnswer: -950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 37 + -35. Suppose -2*q + b = -175, l*b + 0*b - 424 = -5*q. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-90)\/(-45))\/(4\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 48 + -48.4. Which is the second smallest value?  (a) 2\/5  (b) -0.1  (c) 1\/6  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (18 + (-168)\/9)*1137. Which is smaller: b or -765?\nAnswer: -765","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 162 - -0.025.\nAnswer: 162.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 67\/5 of a decade?\nAnswer: 134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = c - 5*n, c - 2*n + 1 = 7. Suppose 2*i = c - 0, 4*i - 22 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2204 is divided by 734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 617*t - 14186. Calculate s(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-156)\/546)\/(3\/7)*(-26)\/(-14430)*15.\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 419, 998, 1809, 2852, 4127, 5634?\nAnswer: 7373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 7*z**2 - 93*z + 943. Let k(n) = -n**2 + n + 5. Suppose 8*r + 5 = 9*r. Let t(a) = r*k(a) + d(a). Find h such that t(h) = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -0.11  (b) 5\/23  (c) -2\/69  (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163 is divided by 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/4*(-700)\/40*28\/(-35)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 2*m + 7, 2*m = -2*g + g + 5. Let b(c) be the second derivative of 0*c**2 - 1\/24*c**g + 0 - 2*c + 1\/12*c**4. Find f such that b(f) = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*i - 17 + 17 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 475297861 to the nearest integer?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of 11*t**6\/40 + 2*t**5\/15 + 7*t**4\/8 + 2*t**2 - 818*t. Find the third derivative of k(f) wrt f.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*u)*(-5 + 0 - 3) + (-1 + 1 + 2*u)*(1 - 1 + 3).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1093?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the third derivative of j**6\/40 + j**5\/30 - j**4\/24 + j**2. What is the tens digit of f(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiiqkisiikkid. What is prob of picking 3 k and 1 q?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - 291?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 3*k - 7217 = 0, -3*k = -5*g + 5189 + 2004. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -1 + 1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 1290*x. Let n = -18 - -18. Let u be (11 - (n + 4))*-1. Let w be r(u). What is w rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 4451, 4452, 4453, 4454, 4455?\n\"Answer: y + 4450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -11*q**3 + 22*q**2 - 3*q - 2. Let p(k) = -7*k**3 + 14*k**2 - 2*k - 1. Let i(t) = -5*c(t) + 8*p(t). Calculate i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27, -22, -13, 0, 17, 38?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -3*c**4\/4 - 1161*c**3\/4 + 4695*c**2\/4 + 1161*c\/4 - 1173 = 0.\nAnswer: -391, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*r**4 + 4*r**3 + 1 - 158*r + r**2 + 161*r + 32*r**4 + 0 as w*r**3 + a*r**4 + o + b*r**2 + j*r and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 371\/185 - 15\/37. Put -3, 0, i, -5 in ascending order.\nAnswer: -5, -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 9*s + 43. Calculate w(0).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 106080 and 109888?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 176671021819 minus -0.5?\nAnswer: 176671021819.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-16 + 0 + 10)*(-68*g**3 - 151*g**3 - 51*g**3 - 33*g**3) to m*g + n*g**2 + j + o*g**3 and give o.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -101*u**2 + 11. Let p(a) = 151*a**2 - 16. What is -5*p(y) - 7*v(y)?\nAnswer: -48*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of 1\/6*l**4 + 0*l**3 - 5\/42*l**7 + 0 + 0*l - 1\/30*l**5 + 0*l**6 + 24*l**2. What is the second derivative of a(y) wrt y?\nAnswer: -300*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 6130806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1952)\/65 + 131\/(834470\/196)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 350 = 5*l - 2*x, 12*x - 14*x = l - 82. Calculate the least common multiple of 1212 and l.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6093 + 6086.899. Let f = -0.01 - -0.009. Let a = d - f. What is a rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b*b\/b**(-7))\/b*b*b)*b)\/b**(-9))**(-1\/15)\/(b*b*(b*(b*b*b**(-2\/7)*b*b)\/b*b*b)\/b*b*b*(b*b*b\/(b\/b**(-1\/13)))\/b)**35 assuming b is positive.\nAnswer: b**(-65788\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -1. Let m(x) = 2*x. Let g(j) = c(j) + m(j). Calculate g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6547 (base 8) to base 5\nAnswer: 102211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 138 divide 193151247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1)*(3*g**2 - 3*g**2 + g**3) + 3*g - 3*g + 3*g**3 - 24*g**3 + 82*g - 42*g - 38*g.\nAnswer: -22*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/35*224\/2880*5)\/(1\/(-115)).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + 4 + 46*z + 1 + 64*z + 3.\nAnswer: 110*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1104*n + 2209*n - 1103*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -14*o**2. Let g be (1*-3)\/(12\/(-20)). Let x(m) = -g*m - 8*m + 14*m. Give t(x(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2257 - -19.1657. Let d = u - 18. Let q = -0.04 + d. Round q to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*2\/(96\/(-3)) + 1442\/(-112).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -38\/11 or -6799?\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - 18) + (-51 - -68) + 15?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 8513024*n - 59591364.\nAnswer: 4*(n - 2128263)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 7  (b) -2\/7  (c) -2  (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -3*w**3 + 254*w**2 - 171*w + 250. Calculate y(84).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 4, c: 4, k: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqqq when four letters picked without replacement from {q: 5, d: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*y + 17*y + 107 - 38 = 0. Solve 11*x - 6*x = 3*l + 11, -l = y*x - 15 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 4*b + 80 = 0, 24*v - 2*b = 27*v - 104. Suppose 6*g = 3*g + 54. What is the remainder when v is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 546 + 564. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 18389 - 33217 = -5*f, 2*z + 41280 = 4*f. Suppose 0 = 4*p - 5*s + 48420, -3*p - 2*s = -f + 46660. What is p rounded to the nearest one hundred?\nAnswer: -12100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (15 - 9)*4\/(-6). Let b = 30 - -5. What is the remainder when b is divided by (-63)\/54*-15 - 6\/s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 539572, 1079148, 1618728, 2158312, 2697900, 3237492, 3777088?\n\"Answer: 2*i**2 + 539570*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -462, -2058, -4796, -8676, -13698, -19862, -27168?\nAnswer: -35616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -197891692 divided by -4.\nAnswer: 49472923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22 + -19. Suppose 0 = -k*t + 6*t - 30. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i = 3*i + 12. Let j(o) be the second derivative of -o**3\/6 + 2*o**2 + 27*o. Let p be j(0). Do i and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v*v**3*v*v*v*v)\/v*v*v**(-6)*(v**6\/v)\/v*v\/v**(-2\/5)*v)**(-1\/2) assuming v is positive.\nAnswer: v**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8252800*l**3 - 226380*l - 32?\nAnswer: 49516800*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 24*y**2 + 50*y + 103. Calculate n(-22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 871412341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3\/4 + 3\/(-3). Let d = 5 - 2. Let s be (8\/(-30))\/(d\/(-15)). What is the closest to z in s, -0.2, 1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 7, m: 4, g: 5}. What is prob of picking 1 g and 2 m?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 42786278 to the power of 1\/2, to the nearest integer?\nAnswer: 6541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 2*l - 4. Determine h(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 63 = 100. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205 is divided by 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5382347, -5382345, -5382343, -5382341, -5382339?\nAnswer: -5382337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-8 + (11 - 6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 84*(-44)\/(-11) - (-4 + 1) and 18.\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 209 + -128. Let s be ((-45)\/2)\/(-5 + c\/18). Find the second derivative of 32*k**4 + 45*k**2 + 8*k + 36*k - s*k**2 wrt k.\nAnswer: 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -26 + 845a?\nAnswer: 8434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1180444, 1180451, 1180458, 1180465, 1180472, 1180479?\nAnswer: 1180486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 3.18. Let j = -4.1 + n. Let t = j - -0.9. What is the nearest to t in -5, 0.1, 2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 3*y**2 + 3*y. Let r be z(2). Let p = 2 + 1. Find the second derivative of p*k**2 + 0*k - k**r - k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1189, 4595, 10279, 18247, 28505, 41059, 55915?\nAnswer: 73079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -15, -15, -11, 3, 33, 85?\n\"Answer: w**3 - 4*w**2 + 5*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 8\/15, 0.07, -1\/3, -0.1, 2\/3 in decreasing order.\nAnswer: 2\/3, 8\/15, 0.07, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-45)\/(-20)*437 - 15\/(-20) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32.2 times 5\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -97*t**3 - t**2 + t**2 + 149*t**3 + (1 + t - 1)*(-19*t + 19*t - 6*t**2) + 0*t**2 + t**3 + 0*t**2 in the form l*t**2 + x*t**3 + o + a*t and give x.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4 - 2 + 7 - 3*i. Suppose 309*a - 40 = 319*a. Let v be o(a). Calculate the highest common divisor of v and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109*i + 84 + 8 - 90 + 37*i.\nAnswer: 146*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5392 + -0.1.\nAnswer: -5392.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.005, 1\/6, 24, -0.5, -2, 37?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8662046 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r + 3*r = -60. Calculate the highest common factor of 135 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 PM and 1:26 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/16 and 65\/307679712.\nAnswer: 307679712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 + 39*f + 237. Give h(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30 + -17. Suppose 0 = 3*c - 5*l + l + 20, 0 = 3*c + 5*l - 25. Suppose -q*t + 20*t - 231 = c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1*1350)\/((-5)\/((-56000)\/(-12))). Round f to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*r + 5 + 2*r + r wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-1 - 1 - (-45 - -38))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d. Determine m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/4599 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -76 + 190. What is the greatest common divisor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1\/14 + 3\/7. Which is the closest to f?  (a) -5  (b) 0.4  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h**(-2\/25))\/h)**(-20)\/(h*h**1)**(-49) assuming h is positive.\nAnswer: h**(498\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 - 6*s**2 - 45*s - 18. Let f be p(-4). Solve q - 147 = -2*g - 132, -5*q = f*g - 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppwpppwpwpppwppwpp?\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -4a?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/432 and 71\/901044.\nAnswer: 3604176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 16 = 4*l + 4, 2*r - l = 23. Let n = r - 9. Suppose 3*b - 15736068 - 1963927 = -o, -n*o + 17699985 = 3*b. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 88220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 296 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 8*d**2 - 5*d + 3. Let f(c) be the second derivative of -7*c**4\/12 + 5*c**3\/6 - c**2 + 3*c. Let m(v) = 5*f(v) + 4*l(v). Suppose m(u) = 0. What is u?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(363) + -4 + (0 + sqrt(363) - sqrt(363)) + (sqrt(363) - (sqrt(363) - (sqrt(363) - (-1*-2*sqrt(363) + sqrt(363))))))**2.\nAnswer: 88*sqrt(3) + 379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-11))**(-39)\/(l**(-13)\/l**(1\/8)))**27 assuming l is positive.\nAnswer: l**(95499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(76)\/sqrt(4))**2 + sqrt(76) + -1*sqrt(76).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 598 + -413. Suppose 7*v - g = 46. Let k be 1\/2 - v\/(-6). What is the greatest common factor of k and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -152 - -152.2. What is the nearest to 0.1 in -4, -11, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 580 less than 559?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*o + 12237 + 2163. Let k = -1598 + o. Factor 16*r - 8\/5 - 102\/5*r**k.\nAnswer: -2*(3*r - 2)*(17*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 15 - 24 - (0 - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c = 6*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 19  (b) -3  (c) -2  (d) 0.1  (e) 125945\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -10*j**3 - j**2 - 12*j + 17. Calculate the smallest common multiple of 34 and m(-3).\nAnswer: 5338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654080 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6258526.\nAnswer: 2, 3129263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x + 2. Suppose 1 = -3*f + 4*z, 6*z - 2*z - 31 = -3*f. Suppose -3*o + 4*s = 0, 0*s = 5*o - f*s - 5. Give b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-7\/8)*c*c*c\/(c*c**(-1\/71)\/c))\/((c\/(c**(-1\/35)\/c))\/((c\/(c*c**(1\/3)\/c))\/c)) assuming c is positive.\nAnswer: c**(-13289\/59640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1077 times 1\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.12  (b) 2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s = 4*c - 8, -36*s + 1 = -3*c - 34*s for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**2 + 164*f + 10973. What is g(215)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -38*b + 272. Let t be a(7). Solve 5*x - 4 = -3*v + t, 0 = 5*x + v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j**3 + 3*j**2 - 4*j + 6. Let f be p(2). Suppose -f*l = -48*l - 10. What is the highest common divisor of l and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 PM and 3:28 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*l + 4*r - 16, -3*l + 4*r - 16 = 0. Suppose l = -3*i + i + 12. Let g(j) = -j - 3 - 2*j + i. Calculate g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2171 + 1229 + 7*t - 5*t - 5*t + (8 - 6 + 1)*(0*t + 0*t - t).\nAnswer: -6*t - 942","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (20\/12)\/(1\/3). Suppose 4*p + 3*x - 8 = 114, o*x + 48 = 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: Let h(f) = -f**2 - 3*f + 4. Give h(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 3*f - f**3 + 3*f**2 + 1 + 2*f - 2*f. Let t be s(4). Let i(l) = 2*l**2 - 1 + l - 3 + 2*l. Determine i(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(2 + sqrt(200) + -3 + -4 + sqrt(200) + sqrt(200)*1 + sqrt(200)) + -1 + 5 + 5)*-3)**2.\nAnswer: -12960*sqrt(2) + 259524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f - 7. Let u be b(7). Suppose 20 = -u*v + 4*v. What is the remainder when 12 is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 33.4 - -7.6. Let i = -24.75 + -17.25. Let n = l + i. Which is the third smallest value?  (a) 0  (b) n  (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1827486504 - 0.16795.\nAnswer: 1827486503.83205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**4\/2 + 4*y**3 + 12*y**2 + 16*y - 1. Factor h(c).\nAnswer: 2*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(-3*q**4 + q**4 + 4*q**4) + 4*q**4 - q**4 - 4*q**4 + 151*q**4 - 208114*q**3 + 208114*q**3 + 8*q**2.\nAnswer: 146*q**4 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 7, -348, -1479, -3776, -7629, -13428, -21563, -32424?\n\"Answer: -65*w**3 + 2*w**2 + 94*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(p - 4*p + p) + 0*p + 4*p - 2*p + (2 - 1 + 0)*(2*p - p + p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -985*u = -3364*u + 254553 for u.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 93500464907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (686\/882*(-63)\/(-14))\/((-2)\/(-2)*1)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 3*p**5 - 86*p**4\/3 + 104*p**3\/3 + 64*p**2\/3 = 0.\nAnswer: -4\/9, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 7:20 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 105632.\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 8:32 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43339, -43452, -43565, -43678, -43791, -43904?\nAnswer: -44017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -83087\/9282 + -3\/3094. Let l = -58\/7 - d. Let x = -3 - -3. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -53 + 2*r**2 + 67 - 35 to w + d*r**2 + c*r and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 4224085668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 7 = -5*v + 4, -5*k - 17 = -3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 248928*f**4 + f**3*u**3 + 18*f**2 - 12638355*f*u**3 wrt f.\nAnswer: 2987136*f**2 + 6*f*u**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*o**3*x**2 - o**3 - 105*o**2 - 396*x**2 + 4*x - 1 with respect to o.\nAnswer: 6*o**2*x**2 - 3*o**2 - 210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wh when two letters picked without replacement from wowhlowlwohw?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 122 = 4*x, x = -o - 8 + 48. Let a be (-14)\/49 + 26\/28*o. Is 35 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5 + sqrt(8) + -2)**2 - -3*(1*(-2 + sqrt(2))*-2)**2.\nAnswer: -68*sqrt(2) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 0.17382\nAnswer: -0.34764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 40 = 7*a. Let p = a + -12. Let g = 24\/7 - 83\/14. What is the closest to -1 in p, g, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - ((-258 - -250) + 1 + (-10 - 1))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p - 1. Let m be k(2). Let q(a) be the third derivative of -a**5\/60 - a**4\/6 - a**3\/3 - 67401*a**2. Calculate q(m).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 50\/3*(210\/25)\/7. Suppose j*x - 19*x + 11 = 0. Let n(a) = 16*a**2 - 10*a + 5. Let k(c) = -3*c**2 + 2*c - 1. Let y(d) = x*k(d) - 2*n(d). Solve y(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + (71 - 81) + -51 + (1 - -1 - 0)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1998 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4\/3, -1, -0.06?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, g: 4, x: 9, j: 2, v: 1}. Give prob of sequence ixvj.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -223882912.2 rounded to the nearest one hundred thousand?\nAnswer: -223900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - (-3)\/1) + 3. Suppose -a = 3*b - b - 13, -z*a + 65 = b. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 832 and 988?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 17 - 11. Let j = 6 - -1. What is the highest common factor of h and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 216*-1066221\nAnswer: -230303736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.2 - 0.8. Let d = 12 - 5. Let u = d - 6. What is the closest to 0.1 in u, 5, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q + 24. Let f = -3 - q. Let p be (-3)\/((-18)\/4)*f. Which is the second smallest value?  (a) -5  (b) 0.3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 2*t + 294 = 896, -2*t + 755 = 5*j. Is j a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 719*u**3 - 8979 + 8979.\nAnswer: 719*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/4*(-24)\/9. Solve -n*y - 4 = 4*l, 3*y - l + 6 + 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 733 divide 181278963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*h - 108 + 118 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*v + 193 - 97 = -114 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(9\/((-117)\/91)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1533553?\nAnswer: 7, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 364.538 years in millennia?\nAnswer: 0.364538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1178127.3 rounded to the nearest 100?\nAnswer: -1178100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b + 32a?\nAnswer: 30f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.061 * 13061.\nAnswer: -796.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -258 - 11*j**2 - 4447*j**3 + 346*j + 258 + 4445*j**3 wrt j.\nAnswer: -12*j - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -40234 * 3.\nAnswer: -120702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 13 - 3 = 0. Suppose 170 + 160 = 3*b. Calculate the highest common divisor of b and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**2\/13 - 14824*t\/13 - 207928\/13 = 0 for t.\nAnswer: -14, 7426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -1. Let p(h) = -h + 9. Let t(c) = -p(c) - 4*z(c). Differentiate t(u) with respect to u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10 - 53*a + 2 + 9 - 28 wrt a.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-8)\/6)\/((-5)\/750). Suppose a = 6*a - h. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 minutes after 7:25 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8 - 1.3. What is the nearest to 1 in z, 4, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1 + (-2 + 4 - 3)*(-2 + 3 - 2) + 1 + 3 - 3 - 5 + 0 + 1)*(-80*n**3 + 6*n**3 + 2*n**3).\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 206 = 2*k + 2*u, 2*u - 202 = -4*k. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*p - 2*p - 2*p)*(-2*p**2 - 2*p**2 + 0*p**2)*(2 + 2 - 6).\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -111001100 (base 2) to base 13\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.27794703 less than -1?\nAnswer: -0.72205297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 187 + -106. Let k be 12\/m*(-3)\/2. Let s = -1.7 + 2. Which is the second biggest value?  (a) k  (b) -1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -4\/5, 0.1008 in increasing order.\nAnswer: -4\/5, 0.1008, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 64962*p + 714562. What is v(-11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1225 - 677. Let n = -182 + c. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 - -18. Suppose 7*r = 2*r + 5*a - 20, 4*r + 15 = 5*a. Sort 5, d, r.\nAnswer: r, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 13*k + 3353 = 3*t, 7*t + 625 = k. Calculate the remainder when k is divided by 227.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5488003 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -4*r**2 - 688*r - 28800 = 0.\nAnswer: -100, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -204, -307, -408, -507, -604, -699?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16218*z**3 - 3292*z + 1 wrt z?\nAnswer: -97308*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((1*-2*sqrt(704)*-1 - -4*6*sqrt(704)*1) + 3)**2.\nAnswer: -475913 - 1248*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 divided by 446?\nAnswer: -9\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1191862 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - 10212112000?\nAnswer: -10212112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*q + 19 = 0, -4*u = -2*q - q - 47. Let b = -8 + u. What is the lowest common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, f: 2, d: 12}. Give prob of sequence ydy.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 235.7805 - -0.2195. Which is the third biggest value?  (a) -3  (b) 2  (c) 0.4  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 5*o + 4*o = -47, o + 3 = 0. List the prime factors of (-48)\/m*(18 + -118).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 17  (c) 1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 428195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 44047*-19.95.\nAnswer: -878737.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -4. Let u = 1\/56 + -117\/280. Which is the nearest to u?  (a) o  (b) 3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 141 - 152 + 167*n**3 - 53*n**3 - 57*n**3 - 54*n**3.\nAnswer: 3*n**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 58861740*z**3 + 10309272.\nAnswer: 176585220*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from ftifnturnniutrt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**3\/2 + 7620*s**2 + 5806440*s = 0. What is s?\nAnswer: -1524, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -36 + 780?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(-3))\/(64\/(-16)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 383 - 176. Let a = u + -83. Calculate the remainder when a is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 6*z - 10. Determine x(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5397, 13, 25 in ascending order.\nAnswer: -5397, 13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1628 a factor of 889020168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8.98815 + 8.148151. Let u = k - -0.84. Round u to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/7, 1\/9, 10325, -0.11916 in descending order.\nAnswer: 10325, 1\/9, -0.11916, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201131213 (base 4) to base 13.\nAnswer: 4a504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 649972 - 649970.500588. Let v = -1 - -2.5. Let d = v - z. Round d to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4*v**3 + 3*v**2 + 3*v + 2. What is u(-3)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -139471.978 - -211.\nAnswer: -139260.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 15 = 2*k. Suppose 3*c = 1 + k. Calculate the lowest common multiple of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 7*y + 2. Let l(x) = -x - 3. Let w be l(-7). Suppose -2*g - 2*g - 32 = -j, -g = -w*j + 68. Calculate the least common multiple of f(-6) and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15783866 and 56370950?\nAnswer: 394596650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04955261 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 544937174.\nAnswer: 2, 272468587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1b (base 14) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (120\/(-27))\/(10\/90*(79 - 70)).\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a = -166*g + 171*g + 7, -6*a - 5*g = -9 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4.01, 1, -5, -3, 327, 4, 2\/13?\nAnswer: 4.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o + 6. Give b(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 98\/12*9\/(-12) and (101\/12)\/(16\/(-12)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3127266 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 3:05 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12402930167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -379.1 + 379. Sort -3, p, 2\/3 in descending order.\nAnswer: 2\/3, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200) - (0 + sqrt(200)))**2 - (sqrt(8)\/sqrt(4) + -5)) + 3 + (-1 + sqrt(72))**2 + 3.\nAnswer: -13*sqrt(2) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3033.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11 + -9. Let h(a) = a - 3. Let w be h(3). Suppose 2*c + 8 = 2*d - w*c, 16 = -4*c. Solve d = l*r + r + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/5, -4, -3 in increasing order.\nAnswer: -4, -3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 13935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 992 divide 1689801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 - 7*g + 6. Let k be h(-6). Suppose 4*q - 78 + 19 = -5*o, 3*q = -k. Suppose -x = -4*x + o. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -3*k - 11496, -q = 5*k - 2861 - 1001. List the prime factors of q.\nAnswer: 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/53919 at least -0.32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 691335 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*i**2 + 38*i + 38*i - 71*i - 5 + 7 - 3 in the form j*i + m + x*i**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 7*x**2 - x - 2. Let g be r(-2). Let f(b) = -b**2 - 7*b - 1. Let n be f(-5). Let p = n + g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 326987 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 58*q + 37. Let y be v(-21). Suppose 0 = -4*z - 3*x + 1618, -2*z + y = 7*x - 3*x. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29ab (base 15) to base 13\nAnswer: -40b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -3*((-9948)\/(-18))\/(-2). Suppose -2*p - 55 = -r. What is the remainder when p is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -48 - -47.4. Let x = 0.6 + n. What is the third biggest value in -0.4, -2\/7, 4, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -535 - -1822. Is g less than or equal to 1288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*p. Suppose p = h - 4*h + 168. Let k be (-44)\/3*(-972)\/1782. Calculate the highest common factor of h and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/1350240 and 19\/58000.\nAnswer: 33756000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -9, 2\/17, 1660, 1\/5, 12, 0.4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 4*h - 8*h = 16, -2*s - 4 = h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -140, -550, -1264, -2288, -3628, -5290, -7280?\n\"Answer: -o**3 - 146*o**2 + 35*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2 + 3997841*z - 139923210.\nAnswer: -(z - 3997806)*(z - 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 + -24.2. Put 1\/5, 0.14, x in ascending order.\nAnswer: x, 0.14, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1065 or 1446?\nAnswer: 1065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*g**3 + 124*g - 3*g**2 - 7*g**2 - 10*g**4 - 57*g - 63*g - 8*g**4.\nAnswer: -2*g*(g + 1)**2*(9*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (z**4 + 2*z**2 - 2*z**2)*(4 - 1 - 4)*(261*z - 20*z + 27*z) + (4 - 2 - 5)*(2*z**5 - 2*z**5 + z**5).\nAnswer: -271*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1077689.91 - -0.06.\nAnswer: -1077689.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 13\/((-78)\/(-48)) - 4. Solve p = -c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -45, -42, -55, -90, -153, -250?\n\"Answer: -k**3 - 2*k**2 + 16*k - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -295 + 296. Sort 0.08, 16, 0.2, s in descending order.\nAnswer: 16, s, 0.2, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/21057548 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/11  (b) 1\/4  (c) 3\/2  (d) 0.01  (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -21.8.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 minutes before 6:13 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*((-48)\/(-6) + 2). Let v(y) = y**3 - 8*y**2 + 25*y + 12. List the prime factors of v(n).\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.721777105 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25418 a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g**3 - 5*g**3 - 5*g**3)*(-1 + g + 1) + (-3*g**4 + g**4 + 0*g**4)*(-1 + 0 - 1) + 4*g**3 + 2*g**4 - 4*g**3.\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -46*u**2 + 7*u. Let r(a) = -14 + 35 - 21 - 2*a. Determine r(z(w)).\nAnswer: 92*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1744.621 to 0 dps.\nAnswer: -1745","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -57 - -84. Let b = -27.3 + c. What is the third smallest value in b, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570.8823kg in milligrams?\nAnswer: 570882300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -223 - 180 + 403 - 971*n to j + c*n and give c.\nAnswer: -971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 + 1.5. Let s = 2029 + -2028.9. What is the third smallest value in s, g, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.6168620922 to three dps.\nAnswer: 1.617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.473 - 61.127. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 544 and 1092624?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-24)\/14)\/(10\/(-175)). Suppose -b = 3*w + 3*y, 3*w + 26 = 4*y - 9*y. Let q = w + 17. What is the greatest common divisor of q and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - ((-10 - -20) + 1 - 14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-1 + 0) - 0. Suppose f*l - 44 = -v - 10, -4*v - 5*l = -101. Calculate the greatest common divisor of v and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 divided by 1328\nAnswer: -5\/664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 1780?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14, 13, 10, 5, -2, -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 2645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -9616692247 take away -319?\nAnswer: -9616691928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 + -2 + 0 - 1 - 3 - (508 - 454)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r + 1. Let p be n(3). Suppose -p*f - 2*c + 20 = -26, -f + 2*c = -9. What is the third derivative of f*u**4 + 4*u**5 + 3*u**2 - 11*u**4 wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + 5)**2 + -3.\nAnswer: 10*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 5) in base 11?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52330 or 52272?\nAnswer: 52272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9\/6*6866\/3?\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -185*p**3*v**2 - 3*p**2*v**2 + 3*p**2 wrt p.\nAnswer: -1110*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, z: 4, y: 1, w: 6}. Give prob of picking 1 q and 1 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*-13*(-10)\/(-5460).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6864 - 75502\/11. What is the nearest to j in -3\/7, 3, -1.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11998+-8.79866\nAnswer: 11989.20134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2638494540 and 360?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 34 = 52. Let l(g) = -4*g**2 + 3*g + 8. Let n(i) = -5*i**2 + 2*i + 8. Let q(o) = -4*l(o) + 3*n(o). Determine q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -14879, -23666, -32453?\n\"Answer: -8787*r - 6092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -8*d - 41. Let x be 8 - 1*(-9)\/(-1). Let y be x*(48\/9 + (-5)\/15). Calculate o(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.6 + -13.1. Which is smaller: z or -8\/15?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 89*k**3 + k**2 + k - 1. Let n be o(1). Suppose 5*f + 110 = -0*f. Let i = f - -32. What is the highest common factor of i and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -1) + (10 - (3 + -3 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -267 - -301. Let n be q\/(-51) - 187\/3. Which is bigger: 2\/9 or n?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -9*h - 16. Let k be z(-2). Suppose -4*n + 8*n = -k*n. Solve -3*p + 8 = -c - 0*c, n = -2*c + 3*p - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -23803?\nAnswer: 237dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-20)*f\/f**1*f)\/(f**(-2\/19)\/(f*f**(-6))) assuming f is positive.\nAnswer: f**(325\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 17, k: 1}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes before 7:50 PM?\nAnswer: 8:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1652855 nanograms to kilograms.\nAnswer: 0.0000000000001652855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 1:32 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3  (b) 4  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 314 and 471?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 + 0. Suppose -5*a - 26 = -p + 6, 4*p - 3 = -5*a. What is the units digit of p + 2\/(-4)*z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11002 + -1120100?\nAnswer: -1201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71493*u + 5*u**2 - 35746*u + 1018 - 194 - 35748*u.\nAnswer: 5*u**2 - u + 824","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 719 minutes after 11:36 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02408 * -0.156.\nAnswer: -0.00375648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0291 and -14601?\nAnswer: -424.8891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3548378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/3 in 15\/2, 1\/6, 1\/208, 0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 153 - 102. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-672)\/96 - 100\/(-14))*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 509054527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 103432 - 443?\nAnswer: 102434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-46208000)\/6)\/(164\/492). What is q rounded to the nearest 100000?\nAnswer: -23100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11916370 by 10.\nAnswer: 1191637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1294 - 1290. Put -4, i, 19 in increasing order.\nAnswer: -4, i, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 4. Let g(b) = -3*b**3 + 2*b + 1. Let v be g(c). Suppose -3*t + 4*j = -24, 3*t = j + v*j + 21. Solve 0 = -3*p + 4*h - 2, -4*h + t = 5*p - 14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3971*f + 1122 = 3905*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7469 = 16*u - 10195. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 5*f = -3, 9 = 4*p - 0*f + f. Calculate the greatest common divisor of 16 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 316723997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-357 - 5*r**3 + 7*r + 357)*(0*r + 3*r - 4*r)*(-271 + 124 + 116).\nAnswer: -155*r**4 + 217*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -8*k + 48*k**3 - 2*k**2 - 7 + 6*k**2 - 47*k**3. Let g be b(-5). Let w(s) = s**3 - 9*s**2 + 7*s + 11. Does 2 divide w(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21664 and 1048.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 98*o**3 - 9954*o**2 + 5664*o - 808.\nAnswer: 2*(o - 101)*(7*o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 8 and 4904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4529 - 45241\/10. What is the common denominator of f and -28\/25?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 53911 and 638.\nAnswer: 107822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.1 and 16269.\nAnswer: 17895.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*n - 15 + 15.\nAnswer: -28*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4239*q + 25552 = -6828 - 1532 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 247121033?\nAnswer: 53, 4662661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*f + g + 327 - 343, -4*f - 4 = -4*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 6 - 9 = 0. Let i = 47 + q. Let p be (-3)\/18 - (-962)\/12. Calculate the highest common factor of i and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-44)*33*(-5)\/9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -3*y - 10. Solve -4*h + 27 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 4*i + 2. Let k be g(-4). Suppose -k*n + 7*n + 60 = 5*x, 2*x - 32 = 4*n. 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 remainder when 2941 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1309 - -2615\/2. Let g = 15.5 - 12. Let x = 3 - g. Which is the biggest value?  (a) x  (b) t  (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 2\/11, 5.3, -10, -1, -0.82?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-6))\/(3\/(-6)). Let s(l) be the first derivative of -2 - y*l**3 + 1\/2*l**4 + 0*l + 0*l**2. Solve s(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000101110010100 - 100?\nAnswer: 1000101110010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27318443?\nAnswer: 179, 152617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -4, 23, -3, 53, 0 in descending order.\nAnswer: 53, 23, 14, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 0. Let c(k) be the second derivative of -5*k**3\/6 - k**2\/2 - 17*k. Determine c(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3136 = -5*y - 4*i + i, 3*y = -4*i + 1875. Let g = 199 + y. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1593?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*j - 0 + 12, 14 = -2*s - j. Let k be (-6)\/s + 14\/(-28). Let w = -14 - -16. Which is the nearest to 2\/3?  (a) 0.5  (b) k  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the first derivative of 3*l**5\/5 - l**3 + 8. Suppose u(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1a18b1 + 3?\nAnswer: -1a18ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 0, 158, 2, 24\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-5410131)\/(-27) + -4 - 100\/450 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l + 49. Let q be 16 - (-1 + -3)\/4. Let p = q - 17. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w + 2. Let u be m(-6). Suppose 0 = 4*s + 5*v - 36, -4*v + u = 3*s - 2*v. Factor 2\/11*z**s + 2\/11*z**5 + 0*z**2 + 0*z + 0*z**3 + 0.\nAnswer: 2*z**4*(z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*o - 39 = -4*w + 29, -6*w - 2*o + 18 + 16 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/12*540\/(-1215)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 8 = 2*b, 8*j = 4*j - 2*b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 - -304131?\nAnswer: 304123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (4\/6)\/(11\/33)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*k = 231 + 3414. Is 29 a factor of (-1944)\/k*40\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -1289*s**6\/6 + 195*s**2 + 2*s - 471. Find the second derivative of g(f) wrt f.\nAnswer: -25780*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-14)*1\/((-15)\/(-66))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 65*v - 42*v + 10327. What is the units digit of (v - 0)\/((-7)\/(7\/1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13*h + 51 - 24 - 27 - 11*h**5 wrt h?\nAnswer: -220*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28006221 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3261\/2  (b) 33\/28  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from ddgtgdddydttgaqyddda?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5969398 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**3 - 8*j**2 + 4*j - 16. Give p(-9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78)*3*2 - sqrt(78))\/(sqrt(648)\/sqrt(3)))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-16 + 30)\/((-2)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6172738.\nAnswer: 2, 11, 13, 113, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-32)\/10 + (-1)\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**3\/7 + 632*g**2\/7 - 2515*g\/7 + 1884\/7.\nAnswer: -(g - 628)*(g - 3)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1337064 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91)*2*-3 - (-2*sqrt(91) + sqrt(91))*4)\/(sqrt(140)\/sqrt(5)*-5).\nAnswer: sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r - 1. Let f be w(1). Let m be (4\/8)\/((-1)\/(-4)). Suppose 2 = -l - m*h + 9, f = 4*l - h. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {c: 3, b: 2, l: 4}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2492 is divided by 1814.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17 and 53142?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r + 33. Let c be x(26). Let h(g) = 0 + 3*g**2 - c + 4*g**2 - 52*g**3 + 51*g**3. What is h(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 55\/(-308) + 12\/28. Which is the closest to 2\/3?  (a) 2.3  (b) 1\/5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 25023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18480)\/88*(112\/98)\/(-4).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 325*n**3*z**3 + 14*n**3*z**2 - 1243*n**2*z**3 + n**2*z**2 + 6*n**2*z wrt n?\nAnswer: 1950*z**3 + 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uutt when four letters picked without replacement from {t: 6, u: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 35636.07639 + -35636. Round b to three decimal places.\nAnswer: 0.076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the first derivative of 3*z**2 + 0*z + 6 - 1\/6*z**4 + 0*z**3. Let n(s) be the second derivative of f(s). Let v(i) = -4*i. What is v(n(j))?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(156)*1*1)\/(sqrt(972)*-1*3 + sqrt(972)))**2.\nAnswer: 13\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**2\/2 + 421*w\/2 - 22050.\nAnswer: -(w - 225)*(w - 196)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -4429*s. Let g(q) = 427*q - 3. Calculate t(g(l)).\nAnswer: -1891183*l + 13287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 22*a**3 - 17*a**2 + 20*a - 5. Let b be c(1). Solve b*o = 21*o + 6 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -57 + 56.9. Which is greater: r or 19\/4?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2510 rounded to the nearest 100?\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 5  (b) -79  (c) -8\/3  (d) 0  (e) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, 1, -36, 12, -1505 in increasing order.\nAnswer: -1505, -36, -2, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -1, 5779, 54 in descending order.\nAnswer: 5779, 54, 31, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 94726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.69 and -10.\nAnswer: -11.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -91\/2 - -43. What is the common denominator of 101\/4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106, -105, -94, -67, -18, 59, 170?\nAnswer: 321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -545532 divided by -1614.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.87 + 0.13. Which is the nearest to 2\/7?  (a) -5  (b) x  (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 - 8*y**4 - 20*y**3 - 4*y**2 + 0*y**3.\nAnswer: -2*y**2*(y + 2)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 8, r: 5, h: 2}. What is prob of picking 1 h and 1 d?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -18*g + 210. Calculate a(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 - 3*y**2 + 3*y - 3. Let q be (690\/(-575))\/(2\/(-10)). Let z(p) = p**3 + 5*p**2 - 5*p + 5. What is q*z(m) + 10*d(m)?\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + 6*x**2 + 4*x + 3. Let i be r(-5). Suppose -5*y - 3*z + i*z - 45 = 0, y + 5*z = 9. Let k be 194*(-2 + y\/(-4)). Round k to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-1) + 3)\/((-46)\/(-69)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.031 + 189.969. Let q = 154.9 - h. Let r = 17.4 + q. What is r rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.055 - 58.945. Let t = f - -44. Let c = -97\/171 + 15\/19. What is the biggest value in c, t, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.6 * 9.1874.\nAnswer: 5.51244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g - 12. Let k be q(5). Suppose 0 = a + k*a - 884. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 103*i + 167. Let c be n(-17). Let q = -994 - c. What are the prime factors of q?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1927154  (b) 7  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36)\/8*50\/15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + p = 3*l - 101, -36 = -l + 3*p. Let n = l - 16. Calculate the highest common factor of 187 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 125027962.37 to the nearest 10000.\nAnswer: 125030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**3 - 32*x**2 + 36*x + 111. Let c be u(-33). Let q = 17 - 17. What is the smallest common multiple of 18 and (q - -9)*c\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6752757 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 436, 391, 344, 289, 220, 131?\n\"Answer: -p**3 + 5*p**2 - 53*p + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -19*f**3. Let i(u) = u**3. Let z be 3*(-4)\/3*(-8)\/(-32). Give z*n(p) - 6*i(p).\nAnswer: 13*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 101.2 - -11.8. Put -3, t, -5, 1 in ascending order.\nAnswer: -5, -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35422673.\nAnswer: 11, 13, 247711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2864055?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -6*j + 5*j - 300, -3*s + 606 = -2*j. Let z = j + 1251\/4. Which is smaller: 7 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1180.3 - -1212. Round f to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + k + 5*x = 49, 0 = -4*k + 2*x - 42. Let q be k\/36 + 141\/27. Does 20 divide 828\/10 + q\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 119*h + 4)*(-4*h + h + 2*h).\nAnswer: 119*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 403343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -57?  (a) 0  (b) -3\/7885  (c) 4  (d) -0.5  (e) -3\/7  (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**3 - 10*m**2 + 8*m + 8. Let i be s(9). Which is the closest to -2\/5?  (a) i  (b) 3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -8288, -8292, -8298, -8306, -8316?\n\"Answer: -n**2 - n - 8286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 351407 is divided by 112.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3 - 0.1. Suppose 0 = -o + 5*c + 14 - 4, 0 = 5*o + 2*c + 4. Let l be ((-1)\/(-1))\/((-13)\/13*-1). What is the closest to -3 in q, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 196 and 2065.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 30235 - 21002. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g - 1. Suppose 3 + 0 = 3*r. Let d be k(r). Suppose -20 + 2 = -3*b - 2*c, 5*b + d*c - 29 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, -3\/2, 2\/31?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4022, -4255, -4486, -4715, -4942?\nAnswer: -5167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(660)*-2 - sqrt(660))\/(sqrt(1728)*-2 + sqrt(12)))\/((1*(sqrt(88) - (sqrt(88) + sqrt(88)*2)))\/((sqrt(24)*2 + sqrt(24))\/sqrt(3))))**2.\nAnswer: 405\/2116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -67*t**2 - 2*t + 5. Let h be x(7). Let r be (-2)\/(-7) + h\/3. Let v = 1098 + r. What is the common denominator of v and -17?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44 and 18340?\nAnswer: 201740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -219843*b**2*k + 233*b**2 - 2*b*k - 18440*b + 3*k wrt k?\nAnswer: -219843*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-5 + -2 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s - 3*s + 2*s + 3*s - 5*s + 3*s + (2*s - 3*s - s)*(-2 + 1 + 2) - s - s + s - 4*s + 4*s - s)*(0 + 2 + 1) to the form r + c*s and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**2 - 13500*x + 13496.\nAnswer: 4*(x - 3374)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 10, y: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -i + 2*i. Let c(z) = z**3 + 10*z**2 + 11. Let w be c(i). Suppose -w = 5*p + 14, -2*p = 2*h - 6. What is the highest common divisor of 1 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 435 or 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 51*n = 55*n - 13, -1 = -n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13710 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -17*w + 13. What is b(-4)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/6*2070\/12. Suppose -2*w + z = 3*w. Suppose -w = -2*m - 0*m + 2*n, 5*n = -4*m + 137. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -r**2\/2 + 2*r - 4. Let u be o(0). Solve 4 = -l + u*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 13*z**2. Let c(t) = 82404*t. Determine w(c(x)).\nAnswer: 88275449808*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -69 - -73. Let d(n) = n**2 - 4*n + 2. Determine d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -1211?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(70)*-2 + (sqrt(70) - (-3*1*sqrt(70) - sqrt(70))) + sqrt(70))\/(-1*(sqrt(10) + sqrt(30)\/sqrt(3))*-6).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 10*g**2 + 9*g + 4. Determine r(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*7\/(189\/6).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/(-78) - ((-474)\/39 - 0). Suppose -z + 3*p + 67 = m, -p = z - 55. What is the highest common divisor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (11 + (2 - 1))\/(-1). Let s be (-3)\/g - (-1)\/(-4). Suppose 3*o + 9 = -s*o. Let i(z) = -z**3 - 5*z**2 - 2*z + 3. Calculate i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -2312  (b) 202  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 193*u + 173*u = 304*u - 1240 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 51 - 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-10 - (-7 - (-4 - 4))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*u + 17*u + 17*u - 69*u + 20*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 - -54. Suppose -2*i + x = -0*i. Suppose -3*m - 4*p + 7 + i = 0, -2*p - 10 = 0. Solve 3*q - 5*y + m = -6, q - y = -4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-118)\/885)\/(1\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-4 + 13) - -15 - (-2 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 639064, 1278110, 1917166, 2556238, 3195332, 3834454, 4473610?\nAnswer: 5112806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 41288480, 41288477, 41288474, 41288471?\nAnswer: 41288468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 191348*161\nAnswer: 30807028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-148)\/56 + (-3)\/(-21))*-2. Suppose -5*y = -w*t - 12 + 2, 5*t - 2 = 2*y. Solve -t*i + 8 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 - 17. Let p = -0.24 - -0.14. Which is the third smallest value?  (a) -2  (b) m  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*x = -3*c + 29, 3*x = 2*c - 21. Suppose 63 + 21 = 12*z. Solve -z*p - 4 = -c*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3087) + -2)*3 + 3.\nAnswer: -3 + 63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n + 2*n - 20*n + 3*n.\nAnswer: -18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 5772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 10:59 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -75*h**3 - 14*h + 98. Let g(l) = 50*l**3 + 9*l - 65. Let j(u) = 8*g(u) + 5*w(u). Find the second derivative of j(y) wrt y.\nAnswer: 150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**3\/7 - 5*j**2\/7 - 8*j\/7 + 12\/7 = 0.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 + 28. Let x = m - 8. Let a be (x\/(-6))\/(26\/12). Does a = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1175 and 6275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2*q + 0)*(4 - 9 - 3 + 4 - 1 - 1 + (5 - 4 + 1)*(1 + 2 - 5) - 3 + 0 + 1).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 13 = -3*h + 2, 15 = 3*h - 3*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 54*g**2 - 7351*g + 15406. Determine w(134).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(325) + -2 - -4*sqrt(65)\/sqrt(5).\nAnswer: -2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 34, 53, 74, 97?\n\"Answer: l**2 + 16*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9.172431 decades?\nAnswer: 0.9172431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1514514 (base 7) in base 10?\nAnswer: -205713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61191 is divided by 61144.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + ((-36)\/(-8) - 4))*-12. Suppose -4*y = -7*y + c*y. Solve -2*r = -y - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -37, -5, 51, 137, 259?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i + 4*i + 0*i)*(4*i**2 + 8*i**2 - 4*i**2)*(5*i - 6*i - 12*i).\nAnswer: -208*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2864 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 460993153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(833) + sqrt(833)*-3 + sqrt(833))**2.\nAnswer: 14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 86 and 522794.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 47, -4, -1\/4 in decreasing order.\nAnswer: 47, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -3*w**2. Let j(p) = p**3 + 0*p + 9*p**2 - p - 13 - p. Let t be j(-9). Let l(x) = 3*x**2 - x**2 - t*x**2. What is k(l(n))?\nAnswer: -27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(441\/27) + 68\/126?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*o - 53*o**4 - 5*o + 2 + 965*o**3 - 992*o**3 as y*o**4 + x*o**2 + r*o + c*o**3 + j and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -167*z - 1480 = 124*z - 331*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 62391 and 98043.\nAnswer: 686301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 651*a + 3. Let f(p) = 229*p + 1. Determine 17*f(u) - 6*q(u).\nAnswer: -13*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 10*z + 5*z = -84, 2*t - 52 = 3*z. Solve 15*p + 329 = -t*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-153)\/(-1122)*66\/(-108) - 57\/(-360)\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2135 and 49410?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 3*o + 24 = 0, 4*o + 0*o = c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3631761, -7263520, -10895279, -14527038, -18158797?\nAnswer: -21790556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-11)\/(-22))\/(7\/4))\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-526)\/(-3))\/(21\/63). Suppose 5*l = -5*n + 4*n + 137, -4*n + a = -2*l. What is the highest common factor of n and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -46*i**2 + i. Let h be w(1). Let u be (-125)\/h - 4\/(-18). Suppose 0 = y + 2*j + 6, -2*y + 5*j + 5 + 10 = 0. Sort 1, y, u.\nAnswer: y, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b242 (base 14) in base 10?\nAnswer: 30634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**5 - 2*n**5 + 4*n**5 - 6 + 2*n**5 + 6 - 2*n**5 - 2*n**3 + 2*n**3 + (1 + n**4 - 1)*(-2*n - 2*n + 3*n) + (n**5 - 6*n**5 + 3*n**5)*(-1 + 1 + 1).\nAnswer: n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 116\/145 + (-18)\/10 + -8. Let l(t) be the first derivative of -14*t**2 + 9*t + 2. Let d(r) = 7*r - 2. Calculate u*d(b) - 2*l(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6976 + 7060. Calculate the greatest common divisor of p and 532.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of 23*b**3\/6 + 2*b + 35. Let l(d) be the first derivative of w(d). Let u(p) = -2*p**2. Give u(l(k)).\nAnswer: -1058*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1974 is divided by 342.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -63.8681778 rounded to two decimal places?\nAnswer: -63.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 55 = 5*q, -2*u + 10 = -7*u. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/2)\/((-1575)\/270 - (3 + -9))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/((-1425)\/(-19)) - ((-22)\/77 - 1416\/(-105)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 4494000 = -g - 9*u, 4*g + 3*u = -17976000. What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1672, 2, -9, -2, -17.\nAnswer: -17, -9, -2, 2, 1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 18133416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 0 + p**2 + 1\/24*p**4 + 0*p + 0*p**3. Let q be j(2). Solve -2 = -k + q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 4*a - 4. Let s(v) = -1. Let u(r) = -g(r) + 4*s(r). Suppose z - 7 = -0*z - 5*q, -4*z + 4*q = -4. Let d(b) = -b**z - b + b. Give d(u(o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/(-7) + 1 - (-6)\/(-14). Suppose 0 = -2*x - v*x - 16, 2*x - 384 = -4*p. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*u - 2937 + 1857 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2 - 6 + 4 - 7*t**4 + 4*t**2 wrt t?\nAnswer: -168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d\/(d\/(d\/d**(-8))))*d*d))\/(d*d**0)*(d*d**(-4\/5))\/d**15)**1 assuming d is positive.\nAnswer: d**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = g + 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 150*s + 1354. Let t be g(-9). Which is the fifth biggest value?  (a) 5\/2  (b) t  (c) 28  (d) -4  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 919.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 2*l + 5*s, -2*l - 2525*s = -2524*s - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/42614 and -89\/64368.\nAnswer: 9204624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the first derivative of f**5\/5 + 91*f**4\/4 + 58*f**3 - 182*f**2 - 712*f - 617. Suppose n(x) = 0. What is x?\nAnswer: -89, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*((-46)\/(-14) - 2\/7). Calculate the greatest common factor of l and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 875738315 and 10?\nAnswer: 1751476630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 2*u - 5 = 5*m, 8 = -2*u. Suppose -2*n - 6*p = -n - 360, m*n = -p + 1046. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 26 - 18)*(-2*q + 2*q - q + (-14 - 1 - 2)*(4 + q - 4)*(2 - 5 + 4)).\nAnswer: 126*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/c**(-5)*c*c**(-1\/7)*c*c)**(-2\/9))**(11\/6) assuming c is positive.\nAnswer: c**(-253\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 17169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 7031597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -768 - -694. Suppose -213 = 4*b + 75. Let n = b - r. Solve n = 2*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -25 - -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 112921769 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 + 0. Let d(p) be the third derivative of p**6\/120 - p**5\/15 - 5*p**4\/24 + p**3\/6 - 2*p**2. What is the units digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1 + sqrt(8) + sqrt(200)*3.\nAnswer: 4 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/(-10) + (-1564)\/8. Let b = p - -204. Solve -4 = -j - 3*i, 2*i = 4*j - b - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -701759.\nAnswer: 3\/701759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1519 and 27\/22351.\nAnswer: 156457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the second derivative of -5*g**4\/6 - g**3\/3 - 18*g. Let x be t(1). What are the prime factors of (x\/(-8))\/(1*2\/48)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 3*r - 5. Let c(i) = i - 2. Let v(z) = -z**3 + 2*z**2 - 2. Let w = 24 + -22. Let n be v(w). What is n*y(a) + 5*c(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from unnnnnnnznuuaun. Give prob of picking 2 n.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -17149.09 rounded to the nearest one hundred?\nAnswer: -17100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 476.1 + -486.279. What is l rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v. Let m(g) = g**2 + 11*g. Let p(w) = 4*m(w) - 22*z(w). Let n(q) = -q. Calculate p(n(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11084 is divided by 97?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 766676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 23, 92\/445, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 10:46 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16 + -4. Suppose -4*d - 4*b + f = 0, -4*d - b + 28 = 7. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 59 - 41. Suppose -5*g = -2*g - m. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3840, 3847, 3858, 3873, 3892, 3915, 3942?\nAnswer: 3973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p*p**(-5)*p)*p*p**(-2\/7))**7 assuming p is positive.\nAnswer: p**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.02333 to 3 dps.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-9)\/54)\/(10\/194) and (74\/108)\/(1\/(-3)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3003738 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -3777*j + 3798*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 4, -4*q - 2*n = -9*q + 3. Is q less than or equal to 4\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {k: 6, e: 1, q: 1, z: 5, a: 1, x: 3}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 736967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the first derivative of -z**3\/3 - 44. Let r(v) be the third derivative of 7*v**4\/12 + v**3\/6 - 2*v**2. Calculate r(w(o)).\nAnswer: -14*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 209, 418, 627, 836, 1045, 1254?\n\"Answer: 209*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -45 + 9 + 26 + (-1 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1164 and 2028.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/6 - (-64)\/78. Let d be (42\/5)\/(8\/(-40)). Let y be 1\/4*2 + d\/36. What is the closest to 1 in p, y, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 13 = o, o - 2*j - 17 = j. Let l(k) = 2*k**2 + 2*k**o + k - k. Let g(d) = d. Calculate g(l(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 3*p**5\/5 + 107682*p**4\/5 - 16544664*p**3\/5 + 6553254*p**2 - 16329291*p\/5 = 0.\nAnswer: -36047, 0, 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o**3 - 21*o**2 - 36*o - 233. Give k(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 8:33 AM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.044 minus 0.025?\nAnswer: -0.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59293 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -4 - (0 - (-5 - -178)) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*t + 0*t + 3*t)*(t**3 - 2*t**3 - 2*t**3) - 397*t**4 + 56*t**4 - 138*t**4.\nAnswer: -476*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.6 + 2.6. Let a be 82*39\/(-54) - (-4 + 1). Let j = a - -56. Sort j, s, -2 in increasing order.\nAnswer: -2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175435193 is divided by 4960.\nAnswer: 4953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + 6. Suppose -2*w = 2*z - 22, 4*z - u = 2*z. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2331073*k**4 - 3*k**3*x**2 + k**3*x + k**2*x**2 - 2*k**2*x - 26*k*x**2 + 97*k*x - 7*x + 8 wrt k.\nAnswer: -55945752*k - 18*x**2 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2 - 0.1. Let v = -1116\/3955 + -2\/565. Let u = 529\/7 - 76. What is the nearest to l in -0.3, u, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11324436 (base 8) to base 16\nAnswer: -25a91e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of 53*k**3\/6 + 14*k**2 - 49*k. What are the prime factors of g(19)?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -42531 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/2*2\/(-1). Let w be 22\/33 - 8\/(-6). Sort c, 3, w.\nAnswer: c, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 358 divided by 12?\nAnswer: 179\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -875004924 divided by -1068?\nAnswer: 819293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**4\/5 - 12766*z**3\/5 - 40345021*z**2\/5 + 2538314844*z\/5 - 39534959556\/5 = 0. Calculate z.\nAnswer: -6414, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 142 and 17405579?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16822097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13874909.\nAnswer: 13874909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 4*q - 27 = 0, -16087*q + 16092*q - 6 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1845229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -691*h**2*k + 677*h**2 wrt k?\nAnswer: -691*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of (-3)\/(-6)*34*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 508014891 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 18*r**3 - 2*r**2 - 17*r - 11 - 15*r**2 - 17*r**3. Calculate the least common multiple of 18 and c(18).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 365 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 79, -1, 9, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1)**(-3)\/((h**(-6\/11)\/h)\/(h*h\/(((h*h*h**0\/h*h)\/h)\/h*h))) assuming h is positive.\nAnswer: h**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2978433\/199 - 23\/(-1)?\nAnswer: 2, 5, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-5)\/10 + 7\/(-2). Let j = 0 - w. What is the derivative of -3 - j*d - 4 + 12 wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4 + 5 + -1 + -2 + -2. Let m(v) = -5*v + 5. Let c(k) = -6*k + 6. Calculate i*c(l) + 5*m(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 + 8*i**2)*(8*i - 15 + 15) + 3*i**3 - 8*i**3 + 2*i**3 + 4*i**3 + i**3 - 3*i**3.\nAnswer: 63*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337, 346, 367, 406, 469, 562?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 133189924 and 190?\nAnswer: 665949620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1.5  (b) 8  (c) -8  (d) -2\/5  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1)\/t**4)\/(t**3\/(t*t**(1\/7)))*(t**(-5)*t**7*t)**(23\/3) assuming t is positive.\nAnswer: t**(113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*n + n - 2484 = 0. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 6) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + c = 13 - 210, -4*t + 172 = 4*c. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(11) + 3)**2*4 - sqrt(11) - (sqrt(11)*-1 + 1))*-3.\nAnswer: -72*sqrt(11) - 237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 + 711?\nAnswer: 711.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*h - 3. List the prime factors of 0\/1 - (h - 15).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -2*o - 11. Let m(n) = -9 - 8 - 6 - 4*n. Suppose 0 = 10*c - 40. Suppose -4*s = c*f + 52, 4*f + 22 = -3*s - 17. What is s*z(g) + 6*m(g)?\nAnswer: 2*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the first derivative of -7*b**2 + 5*b - 542. Let z(r) = -9*r + 3. What is 5*o(f) - 8*z(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000212885 to 7 decimal places.\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y - 2. Let o = 133 - 131. Suppose 5*p = 3*p - o. Calculate b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -5446, -3 in ascending order.\nAnswer: -5446, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -70*a - 37 + 21 + 16 + 421*a.\nAnswer: 351*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 3*g**3 - 174*g**2 + 3*g - 163. Determine i(58).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 164 + -79. Calculate the greatest common divisor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*n + 161*n + 318*n + 23004 = 0 for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(10)\/sqrt(2)*6)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 14  (b) 1\/14  (c) 0.035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, o: 7}. Give prob of picking 1 o and 1 d.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(-24) + 145\/20 + -7\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m = -33 + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6606 + -6836.12. What is z rounded to the nearest integer?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 2\/5  (b) -40  (c) 1\/3  (d) 22.6  (e) 37.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 + 96*f - 5083. What is w(35)?\nAnswer: -498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 375 + -374. Let w(d) = -d. Let q(a) = -14*a - 1. Determine k*q(n) - 6*w(n).\nAnswer: -8*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add -96 and 3569773954.\nAnswer: 3569773858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:49 PM and 11:17 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -21895, -21935, -21985, -22045?\n\"Answer: -5*m**2 - 25*m - 21865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111001010100111110 (base 2) to base 6.\nAnswer: 5011034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**3 - 6*j**2 + 5*j - 8. Let d be g(-7). Which is the nearest to -0.4?  (a) -1  (b) d  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**3 + 4*v - 7. Let q be s(2). Let p(d) = d - 2. Let z be p(6). Solve 4*a - z*t + 5*t = -11, a + 5*t = -q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 3*r + 6. Let z be w(-4). Let x = z - -12. Is (9\/x)\/(1\/38) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -1195*l - 39. Let a(n) = n - 7. Calculate 6*a(x) - d(x).\nAnswer: 1201*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -18 (base 12) to base 10\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 28871742937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - g - 5 = -0, 5*u - g - 5 = 0. Determine d, given that -6*d + 17*d + u*d**3 - d**3 - 2*d**2 + d**2 - 9*d**2 = 0.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(90)\/sqrt(3))\/sqrt(6) + (sqrt(5) - (sqrt(45) + 5 - sqrt(5)))**2).\nAnswer: 11*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5*u + 3*u + 0*u)*(0 + 6 - 4) + 6*u + 22*u - 5*u + 2*u - 7*u + 0*u)*(-4 + 3 + 2).\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 72b1d - 10?\nAnswer: 72b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 4*w**2 - 3. Let f be v(-2). Let n(i) = 233*i + 15. List the prime factors of n(f).\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*i - 34*i + 2*c = 12, -6*c + 54 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1258 - 1259 - 4*d**3 + 6*d**2 + d**3 - d to the form q + o*d**3 + s*d**2 + f*d and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -298 = 2*j - 4*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/208 and 39\/56.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 16872\/2664*(-54)\/19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -780 = 3*u - 2157. Let y = -11893 + 11935. Calculate the remainder when u is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**3 - 3*l**2 + 5*l + 4. Let v(i) = -i**3 + 6*i**2 + 7*i + 17. Let x be v(7). Let u = 12 - x. What is the units digit of k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3979058 to the nearest integer?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 984784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 4*p**2 + 8*p + 6. Suppose -7*b - 17 - 18 = 0. Let a be h(b). Which is smaller: a or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0278*1\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3903 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.58939295 times -0.3?\nAnswer: 0.176817885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-4*6\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 12:34 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 3*y + 6 + 47, 8*y + 0 = -m + 3*y - 71 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 - 346982*t\/3 + 231320\/3.\nAnswer: (t - 115660)*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 - 8*b**2 - b + 11. Let r be i(8). Let t = r - -2. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 134*c - 34. List the prime factors of s(11).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 442 by -26.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**2 + 2*p**2 - 4*p**2)*(p**2 - 12*p**2 + 23*p**2).\nAnswer: -24*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from weeweeeeewe.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 3. Let b = 2.85 - -0.15. Let h = b + -8. Sort -1\/7, h, f in descending order.\nAnswer: f, -1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -225 + 227. Which is the second smallest value?  (a) -0.2  (b) 0.3  (c) u  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -686*o + 705*o - 171 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, -1\/3, 1, -3\/5, -1\/11 in decreasing order.\nAnswer: 1, -1\/11, -1\/3, -3\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.9375 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a**5\/6 - 1059247*a**4\/6 - 4237025*a**3\/3 + 5296271*a**2\/3 + 2824683*a\/2 - 3177765\/2 = 0. Calculate a.\nAnswer: -9, -1, 1, 1059255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51529\/8*k**2 - 2 + 227*k = 0 for k.\nAnswer: 4\/227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 536052763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 18 + 0 + -67 - (0 - 2)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 70\/4*3\/(-48). Let i = 15\/32 + s. Find the common denominator of i and 32\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2142 a factor of 628439238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 18*g + 509 - 230 = -201 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4.34, -3, -5 in ascending order.\nAnswer: -5, -4.34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -45. Let s = h + -17. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*s**4 + 1314 - s**4 - 1277 - s**2 - 28*s**5 - 2*s**4 - 2*s wrt s.\nAnswer: -560*s**3 + 12*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10411.\nAnswer: 29, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 2*g + 50, -3*g - 16 + 41 = r. Suppose 3*m = -2*m + r. Factor -4\/7*i**m - 10\/7*i**4 + 0*i + 0 - 8\/7*i**3 - 2\/7*i**2.\nAnswer: -2*i**2*(i + 1)**2*(2*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2)*(-71)\/(71\/24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 15*t**2 - 2*t - 1. Let p be j(-1). Let f(i) = i**2 + 2*i + 5. Let b be f(0). Suppose -b = -m, 3*x - 4*x + m = -p. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9*40\/(-288)*(-3)\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-99)\/(-45) + (-1)\/5. Let v(y) = z*y**2 + 1 - 4*y**2 + y + 4*y + y**3 - 2*y. Is v(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3907*u + 3840*u - 3*u**3 + u**3 to the form q*u**2 + m*u**3 + z*u + v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-45 + 31)*8\/14*-5. Solve -2*u = -10*u + z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -384130, -384148, -384166, -384184, -384202?\nAnswer: -384220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o = 4*q + 9*o - 106, 5*q + 3*o - 146 = 0. Calculate the remainder when 83 is divided by q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = -3*u + 48 - 5, 5*u = -15. Suppose a = -2*m - 14. Let d(g) = -217*g - 21. Is d(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, y: 2}. What is prob of picking 2 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 51157036 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2750576848.\nAnswer: 2, 171911053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 230939 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 4*j = -4, 6*g - 8 = 2*g + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -l**2\/4 - 83*l\/2 + 84 = 0. What is l?\nAnswer: -168, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 318*i - 194*i - 125*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -2*v. Let x(s) = s**3 - 12*s**2 - 13*s - 7. Suppose 65 = 2*y + 3*y. Let t be x(y). Which is the nearest to v?  (a) 1  (b) t  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 190*q + 85. Let s be j(4). Suppose -x = 5*f - s, x + 877 = 2*x - 3*f. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (75\/2130)\/(1260\/(-336))?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 307 = -5*p, 4*a - 5*p - 700 = -111. What is the greatest common divisor of 9 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 88*s**2 - 3*s + 21. Let d(r) = 86*r**2 - 2*r + 23. Let l(g) = 3*d(g) - 2*i(g). Let n(o) = -2*o. Calculate n(l(a)).\nAnswer: -164*a**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3b91bc - 31?\nAnswer: 3b918b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 7, v: 6}. What is prob of picking 3 v and 1 c?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 45797*i**3 - 6*i**2 + i + 4. Let k be w(-5). Let s = 10424776 + k. What is s rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1876805896 minus 73759?\nAnswer: -1876879655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cscffcscc. Give prob of picking 1 s and 1 c.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63168*x = 63147*x - 273 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*o**3*q - 18*o**3 - 4*o**2*q + 7*o**2 - 8*o + 71737*q wrt o.\nAnswer: 42*o*q - 108*o - 8*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by 873\nAnswer: 2\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (7 + -4) - -10. Suppose 6*o - 4*n + 601 = 9*o, v*n = 16. Is o a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**4\/((p*p**0*p)\/p))\/(p\/p**(-1))**1)\/((p**(-2)\/p*p*p*p\/(p\/(p*p**(1\/5))))\/(p\/(p**1\/p)*(p\/(p\/(p\/((p**(-5)\/p)\/p))))\/p)) assuming p is positive.\nAnswer: p**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 9 - (-2 + 2 + -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j + 5. Let k(n) = -2*n + 8. Let b(f) = 10*c(f) - 6*k(f). Let d(t) = t + 1. Give -2*b(a) + 5*d(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -53*p + 920932 - 285091. What are the prime factors of p?\nAnswer: 3, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 17581147 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 16806*q + 470582. What is t(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -443833 divided by -636\nAnswer: 443833\/636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112)*-2*-3)\/(-1*(sqrt(28)\/sqrt(1008) + sqrt(4))).\nAnswer: -144*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -y**3\/3 + 5*y**2 - y - 5. Let b be a(7). Let g = 25 - b. Solve 5*t - 8 - 5 = -3*q, -5*t - g*q = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4903 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.840212 millimeters to nanometers.\nAnswer: 840212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (350\/(-17500))\/((-36)\/(-36)).\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15 + -3103522?\nAnswer: -3103505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 3*z = -6*z + 6, -2*c - 4*z = 18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.4294um in meters?\nAnswer: 0.0000174294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the third derivative of 8*i**2 - 1\/3*i**3 - 1\/90*i**5 + 0 + 0*i + 1\/9*i**4. Factor g(u).\nAnswer: -2*(u - 3)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r = 15, 2*r - 4*r - 2 - 8 = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7366 greater than or equal to -70.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -416, -491, -618, -797?\n\"Answer: -26*f**2 + 3*f - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 2\/19, -502, -0.8, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1988995571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3266849.\nAnswer: 3266849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*u + 2*u + u)*(5*u - 32*u - 4*u) + (2 - 2 - 2*u**2)*(-4 + 2 + 0) to the form i*u**2 + g + r*u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -204, -1075, -3296, -7545, -14500, -24839?\n\"Answer: -113*k**3 + 3*k**2 - 89*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -8 + 2 + -2 + (6 - 2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/11?  (a) -0.5  (b) -587  (c) 1\/9  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 485157134 divided by 69308162.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 736*z**2 - 3*z**3 - 735*z**2 + 2*z**3. Determine g(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 8, r: 2, v: 2, c: 2, h: 1, q: 4}. What is prob of sequence vh?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*k - 338306 = 394118. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14312*8.25.\nAnswer: -118074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 + 21. Let t(s) = s**2 - 8*s + 11. Is 5 a factor of t(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1278?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2976*j - 840 = 1490*j + 1471*j for j.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e06 + 17a?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 226 = 219. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z + 5*z + 7 - 3*z. Give j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14 + 31. Let w = 16 - c. Is w smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*v**4 + 16375*v**3 + 2411985*v**2 + 73403125*v - 1397984770 = 0. What is v?\nAnswer: -3122, -83, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -586 + 588. Find the second derivative of 230*k - 7*k**2 - k**3 + c*k**3 - 3*k**2 - 10*k**2 + 7*k**2 wrt k.\nAnswer: 6*k - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 7*r**5\/20 - 2*r**4\/3 + 8*r + 5. Let w(d) be the first derivative of p(d). Find the third derivative of w(n) wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvyvyyyvyyyvoyvyvyoy. What is prob of sequence vyy?\nAnswer: 77\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = t + 4*d - 10, -2*d = 5*t + 25. Let l be -6 + (-288)\/(-45) - 48\/t. Solve 5 = -5*h + l*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -2*p. Let r be -2 + -1 - -1 - -4. Let k(i) = 11*i - 21*i - 8*i**r + 10*i. Give z(k(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 225665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229933 = -126*t + 263861. Is 3919 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1539) + -2)*3)**2 + -2 + 3*sqrt(133)\/(sqrt(7) - -4*sqrt(7)*-6 - sqrt(7)).\nAnswer: -2593*sqrt(19)\/8 + 13885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + 1*(-1 - 2). Let r be (12\/w)\/((-2)\/(-35)). Let f = 73 + r. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 + 31 = p - a, 5*a - 58 = -p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -29*r**2 + 227*r - 63477.\nAnswer: -58*r + 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + 9 + -8 + -11 + (-81 - -63).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the second derivative of w**4\/12 + 13*w**3\/6 + 54*w**2 - w - 26. Is 51 a factor of a(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -125*w - 67172. Let h(i) = 4*i. Determine h(k(v)).\nAnswer: -500*v - 268688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3893.\nAnswer: 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 24.71 + 0.19. Round p to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.6 and -360840.\nAnswer: -216504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 87*l - 247*l + 1236 + 204. Solve 36*r + l = -207 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.6 + -1.4. Which is the second smallest value?  (a) 2  (b) -4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*j - 5*j + 9*j)*(5*j**2 + 0*j**2 - j**2)*(25 - 12 - 14 + 5*j**2) + (-2 + 3 + 1)*(-j**5 + 2*j**5 + j**5).\nAnswer: 404*j**5 - 80*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3681 - -3691. Calculate the remainder when 177 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 1165.27883 rounded to the nearest integer?\nAnswer: 1165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9 (base 10) to base 4.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z + z**3 - 3*z)*(-20510 + 20510 + 9*z) + (-2*z**2 + z - z)*(0 + 2*z**2 + 0) - 1 + 1 + 2*z**4 - 3*z**4 + 4*z**4 + 0*z**4.\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 213.9832 rounded to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -1 + 7, -5*h = 4*k - 55. Suppose 8*a = k*a. Suppose 6*y - 3*i = 14*y - 50, 5*y = -2*i + 32. Solve -y = 4*v - a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**2. Let n(q) = q**2 - 17*q + 17*q - 9. Let v(t) = -1. Let l(k) = 5. Let u(z) = 2*l(z) + 6*v(z). Let g(h) = 4*n(h) + 9*u(h). Determine p(g(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 PM and 8:08 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.629 - -822.629. Let v = -820.990032 + s. Let a = v - 0.01. What is a rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t - 2*t. Which is smaller: t or 1\/12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.226 and 0.17.\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -12340000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 2*p**4 - 2*p**2 + (0*p**3 - 2*p**3 + p**3)*(p + 0 + 0))*(-37*p + 6*p - 26*p).\nAnswer: -57*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pfpfppfppf. Give prob of sequence fpp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 10:28 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -274 + 149. Let t = l + 125.2. Let d be 125\/285 + (3 - 10\/3). Which is the third smallest value?  (a) d  (b) -1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -3*m + 31551, -12 = -37*m + 41*m. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h + 2. Let j = -4 - -5. Let a be y(j). Let z = -5 + 10. What is the second smallest value in z, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) be the third derivative of v**4\/24 + 704*v**2 + 2*v - 1. Let p(q) = 4915*q. Give h(p(z)).\nAnswer: 4915*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 775*i**3 + 5*i + 7*i**4 - 43 - 20 + 774*i**3 as u*i**3 + p + f*i + q*i**2 + k*i**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(1\/13)*f**(2\/9))**(-1\/7) assuming f is positive.\nAnswer: f**(-134\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 439569 is divided by 210?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 10:19 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1021397, 1021396, 1021395?\n\"Answer: -l + 1021398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + 2*r**3 - r**3)*(-71*r**2 + 57*r**2 - 34*r**2).\nAnswer: 48*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 151\/57870 and 163\/990.\nAnswer: 636570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2.8 >= 260?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33645060.\nAnswer: 2, 3, 5, 186917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -6*o**3 + 1 + 5*o**3 - 2*o**3 - 2*o**4 - o**2 + 2*o**3 as k*o + s*o**3 + z*o**2 + t + g*o**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/(-117))\/(2\/(-380)). Let b = d - -24\/13. What is the third biggest value in b, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4984*n**2 + 1795*n - 3597*n - 4*n**3 - 4984*n**2 + 1802*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xfx when three letters picked without replacement from {x: 7, t: 4, v: 1, j: 4, f: 2}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, b: 7}. What is prob of sequence llb?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 93 + -93.2. What is the biggest value in o, 2, 1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y**5 - 25*y**4 + 135*y**3 + 85*y**2 - 310*y - 240 = 0 for y.\nAnswer: -8, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -2*d**2. Let p(y) = -5 - 82237*y**2 + 41200*y**2 + 41134*y**2. What is z(p(l))?\nAnswer: -18818*l**4 + 1940*l**2 - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 + 9*w**2 - 19*w + 26. Let u be d(6). Let v(n) = n**3 - n + 20. Let j be v(0). Suppose g = -g + j. What is the highest common factor of u and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 8*a + 76. What is r(-14)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j + 1. Suppose -12*i = 4 + 20. Let b(v) = 20*v - 35. Let g(u) = i*b(u) - 70*w(u). Let f(d) = -d. Calculate f(g(p)).\nAnswer: -30*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27545630 by 973.\nAnswer: -28310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70 and 49.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 6889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -49\/2 - -457\/18. Factor 0 - 8\/9*q**4 - x*q**2 - 2\/9*q**5 - 2\/9*q - 4\/3*q**3.\nAnswer: -2*q*(q + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2888 - -8768\/3. Let s be -5*(0 - (-34)\/(-5)). Let r = s - y. What is the second biggest value in r, -5, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21.24 - 21.74. Suppose -3*d - 8 = -u + 5*u, -5*u + 21 = -4*d. Let n be 6\/4*d\/21. Sort f, n, -5 in ascending order.\nAnswer: -5, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1174 less than 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rnonhchc. Give prob of picking 1 r, 1 c, and 1 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*p - 2*p. Let t = -1 - -5. Let b = t + p. What is the remainder when 19 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18 and 23912.\nAnswer: 215208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than 99044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -82 + 89. Let q be (-13)\/(-5) + 0 + -2. Let l be 2\/(-3) - (-72)\/108. What is the second smallest value in q, l, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.2 and -0.0358.\nAnswer: -0.2358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21686621.\nAnswer: 11, 73, 113, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1823.21 and -0.4?\nAnswer: 1822.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5*y - 4 = -2*h, 5*y + 44 = -4*h. Let l be (1 + -1)\/(h\/6). Suppose l = -3*r - r + 8. Calculate the greatest common divisor of 22 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 416, 1157, 1900, 2645?\n\"Answer: x**2 + 738*x - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (0 - 1) + (0 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1915\/27 + 71. Suppose 9*x = 5*x + 20. Suppose 1 + x = -4*q - 2*p, 0 = 5*q + 4*p + 9. Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3388451419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9a (base 13) to base 16.\nAnswer: -7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(1\/2)*o**(2\/39)*o)**3 assuming o is positive.\nAnswer: o**(121\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6794280 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o + 30 = 4*o - 4*i, -5*o - 2*i - 35 = 0. Are o and 26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(102) + sqrt(102)*-2 + sqrt(102) - sqrt(102)) + sqrt(102))*2)\/((4*sqrt(210)\/sqrt(5))\/sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 41872 + -217985631\/5206. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 h, 1 v, and 1 z when four letters picked without replacement from vvfvvfzkuuuvvuhu.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7639292 + 3195889 = 63*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 124 - 184. Let o = -59.802 - t. Let f = 0.2 - o. What is f rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 132 - 222 = -9*u. Suppose -2*f + x - 5*x + 132 = 0, x = 4. Suppose 3*b - 3*d - 60 = 0, -4*b + u + f = -d. What is the remainder when 77 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 5) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/263 and -31\/35?\nAnswer: 9205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - -609?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-12))\/(90\/144)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 7:41 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -37.369016482971 - -9\nAnswer: -28.369016482971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 10*v - 28. Let r be w(4). Let u be (-2)\/r - ((-13741)\/6)\/13. What is the highest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -6*j + 3. Let v be z(1). Let w be (v + (-50)\/(-15))*9. Suppose w*n + 3 = 6*n. Solve -g + n = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*v = 10*v - 115. Solve 0 = v*o - o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -551 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 20 + -24 + -16 + -23 - 2\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10022 + -10122?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 37.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -4*n - 1. Let q be w(-1). Suppose 5 = -4*g + q*g. List the prime factors of (-1)\/5 - 56\/g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 0)\/((-3)\/(-9)). Let m(k) = k**2 + k + 4. Let s be m(o). Solve 0 = -v - 3*v - s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 482, 944, 1416, 1904, 2414, 2952, 3524, 4136?\nAnswer: 4794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4364 + 4421. Calculate the remainder when 216 is divided by j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 57.32653 and 14.\nAnswer: 802.57142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 27601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -368\/1337 - 2\/191. Let f = -7332 - -21994\/3. What is the nearest to n in -0.4, f, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1313 + -507181671.942\nAnswer: -507182984.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -294 + 37*b + 294 + (-1 + 1 - 3)*(5 + 0 - 8)*(4 - 4 - 2 + 2*b).\nAnswer: 55*b - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-32 - -6) + 8 + (0 - 1 - -1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x - 2*x - 6*x)*(2*x**2 + 0*x**2 + x**2) + (x**3 + 1 - 1 + 2)*(-3 - 2 - 1).\nAnswer: -30*x**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1674969 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of 0*y**4 + 0*y**5 - 3\/2*y**3 + y + 2\/15*y**6 - 10 + 0*y**2. What is the second derivative of j(b) wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -192 and -106.4.\nAnswer: 20428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54225 is divided by 92.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -667 or 9?\nAnswer: -667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3\/167 + -427\/5177. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 70 or 21670\/307?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -3*k + 6. Let y(u) = u + 55. Let b(p) = p + 19. Let o(s) = 11*b(s) - 4*y(s). What is -6*o(i) - 11*x(i)?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c**3 + 7*c + 7. Is k(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*39\/(-325)*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/6)*p*p)**5\/(p\/p**(8\/3)*p\/(p*p*p**1\/p)) assuming p is positive.\nAnswer: p**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 7, 0, -15 in ascending order.\nAnswer: -15, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49259 by -1589.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 12*c - 4*g - 89747, 3*c + 4*g - 53861 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 5, 45, 111, 203?\n\"Answer: 13*h**2 + h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 + 9. Let s = 626\/3 + -209. Which is the third biggest value?  (a) s  (b) -1\/29  (c) -3\/4  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 5, 2454 in decreasing order.\nAnswer: 2454, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 44 + -5 - (122 - 106).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/(-896)*16)\/(5814\/(-1428))?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*r - 55 = 68 + 317 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - (0 - -13 - 36 - -82)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*p + 58*p - 66. Let m(y) = -10*y**3 - y**2 - y - 1. Let s be m(-1). Suppose -p*a = 9 + s. Let j(g) = 3*g + 8. What is j(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 54 + -45. Suppose -4*h + 7 = -b. Solve -5*q = -5*o - 4*q + 12, h = -3*o - 5*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*j + 2*j - 196. Sort -5, 1, 5, j in increasing order.\nAnswer: -5, 1, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 9 - 2 - 6. Let d(t) = -t - 1. Determine 3*d(c) + 3*u(c).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 90*a - 92*a = -8. Solve a*r = -0*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 80 + 110. Let k(h) = 6*h**2 - 7*h + 1. Suppose 4*m = 0, -a - m - 3 = -0*m. Let v be k(a). Calculate the highest common divisor of n and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 892, 3564, 8016, 14248?\n\"Answer: 890*h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/(-4)*(-40)\/(-60)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -63934270 to the nearest ten thousand.\nAnswer: -63930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/17 and 8 - 7 - (-16)\/(-10).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 - -3 - (-7 + (7 - -2)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16 and 230?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4152.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -15 - 41*i**3 + 16 - 63*i**3 - 2*i as k*i + t*i**2 + m + g*i**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (109 - -3) + (46 + -55 - -9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 2*v = -v + 200, -5*b + 344 = v. Let s be -3*(b\/(-48) - -1). Which is bigger: s or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -10 and 192.67?\nAnswer: 202.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 3863055?\nAnswer: -1\/772611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/7015 and 26\/4209.\nAnswer: 21045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17349*a + 6594 = -17343*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -48 - (5 - (9 - 7)). Let d be (-6)\/4 - h\/6. Let o(i) = -i**3 + 8*i**2 - 8*i + 16. Give o(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -867460.7977 to the nearest one thousand.\nAnswer: -867000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18\/5 in 1, -2\/3, 2, -1\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 + -5. Is 22\/(-3)*w\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*s - 5*b = 81, 4*b = 276*s - 277*s - 73 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (0 + -32)\/((-13)\/(-13)). Let j = -27 - d. Suppose -3*b = 21 - 6, -s + 98 = j*b. List the prime factors of s.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -19 + -423488?\nAnswer: -4234a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 6779526671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rphhhhrryhhnrvy. What is prob of picking 1 h and 1 r?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 9:46 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3263 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 179359309.\nAnswer: 79, 1091, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 605.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -5*q**2 - 1. Let f = 3 - 2. Give c(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -41 + 56. Let u be 6\/(-15) + (-114)\/j. Let t be (60\/(-18))\/(u\/(-9)). Is t <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2 + 35 = -3*w, -5*a + 4*w = -42. Suppose 3*y + 2*y = 4*l + 9, 3*l - 2 = -5*y. What is the smallest common multiple of a and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27079372501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**6\/40 + j**5\/60 + j**4\/24 + 38*j**2. What is l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tu when two letters picked without replacement from tuttutu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 18*d**2 - 18*d**2 - 5*d**4 + (-2*d - 2*d**3 + 2*d)*(0*d + 2*d + 0*d) + 2*d**4 + 0 + 0 - 8*d**4 - d + d.\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.29365 times 27\nAnswer: -7.92855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3*p**2 - 16*p - 266. Let y be i(13). Solve -2*j - 17 = -5*d, -2*j + 4 = -31*d + y*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3*z + 179 = -5*p, -5*p + 5*z - 170 = 0. Is 13350\/14 - (-20)\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*o + 301 = -5*h, -4*h - 4*o = 244. Let i be (14\/35 - 26\/h)*6. What is the second derivative of -21*w**i - 13*w - 16*w - 5*w**4 + 5*w**4 wrt w?\nAnswer: -420*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2 + 20*d - 924.\nAnswer: (d - 22)*(d + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q = -j - 26, 0 = q + 3*j - 6. Solve -100*w = -104*w - q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -4.0000224. Let k = 0 - a. What is k rounded to 6 decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 204194?\nAnswer: 2, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.1 and 91565?\nAnswer: 91564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -22, -374, -960, -1780?\nAnswer: -2834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 198051816239 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/7 + -41*(-5)\/(-105)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = 6*d + 4. Let i(c) = 6*c**2 - 14*c - 8. Let r(b) = -2*b**2 + 5*b + 3. What is d*r(m) - 3*i(m)?\nAnswer: -2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14.6 - -0.6. Let h = g + 16.1. Let r = h + 3. Round r to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 2 = 0, -5*s + 193 = -3*o + 209 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhhhhhhhehhhhwh. What is prob of sequence whe?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 4829159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.35763680672 - 0.47.\nAnswer: -0.82763680672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -18608 or -13441?\nAnswer: -13441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 471611764 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.2 - 0.2. Let h = 69 + -482\/7. What is the second smallest value in -1, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 35*c. Let g(a) = -41*a - 1. Let n(b) = -44*b - 1. Let k(m) = 3*g(m) - 3*n(m). What is -15*k(o) + 4*p(o)?\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/4*(-24)\/4*-2. Let f be (-5)\/(-280)*4*b. Let -12\/7*j**3 + 0 - f*j - 15\/7*j**2 = 0. Calculate j.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -67 + -1 - ((-3)\/30)\/((320\/(-40))\/480)\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 92348 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1826, 0, 3 in increasing order.\nAnswer: 0, 3, 1826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 20\/150*(-300)\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 5*a - 1. Let p be v(-4). Suppose -18 + p = -3*f. Suppose i + f*q + 52 = 4*i, -4*i + 16 = 4*q. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9893?\nAnswer: 13, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*j - 24*j = -3*v - 41, -2*v = 4*j - 46. Solve j*o - 22 = 5*o + m, 9 = 3*o - 2*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 0 - 204*s + 2 - 6 - 7*s**2 + 12*s**3 + 206*s to the form v*s**2 + c*s + a*s**3 + o and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -395*d. Let v(h) = -18*h. Calculate s(v(f)).\nAnswer: 7110*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 196152 divided by -66.\nAnswer: -2972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 47 - 43. Let g(j) = j - 1. Let x be g(p). Calculate the least common multiple of (-4 + x)*2*-6 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 530 and 85561610?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 545 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 96  (b) 3  (c) -3  (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9893\/68 < 146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2220473*s**2 - 2327547 wrt s.\nAnswer: 4440946*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h**2 - 2. Let q(k) = k**2 - 1. Let u(c) = 3*m(c) - 5*q(c). Let x be u(-5). What are the prime factors of (x\/(-9) + 3)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1176, -2151, -2792, -2973, -2568, -1451?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v**3 - 2*v = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 53380\/13090 - 234\/99\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1952821?\nAnswer: 13, 150217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5699 + 5698.6. Which is the nearest to -2\/9?  (a) -2  (b) -0.1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/(sqrt(8)\/sqrt(16)) + 5 + (sqrt(12)*-1)**2.\nAnswer: 2*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1650 + -597. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 90 and 2574.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -55\/6 less than 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 3*t**3 - 1164*t**2 + 1159*t + 781. Give h(387).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in thirty-three fifths of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8158077?\nAnswer: 3, 23, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 11:16 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17\/22 + 30\/11. What is u in c*u**3 - 6*u**2 + 3\/2*u + 1 = 0?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y - 984 + 1010 = 0. Solve -y*a - 8 = -0*a, 5*f + 4*a = -36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 7:34 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(135)*1 + sqrt(135))\/sqrt(9)*-5)\/(sqrt(36)\/(sqrt(192)*6)).\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {j: 3, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-10415)\/(-4) - 147\/196?\nAnswer: 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (((-7)\/(-3))\/((-348)\/522))\/(2\/(-4)). Solve 99*p - 92*p - k = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/36 and 173\/5580?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2705518804 - -0.1?\nAnswer: -0.1705518804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4686 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*f**3 - 44*f**3 - 31*f**3 + 18*f**3.\nAnswer: 54*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/12*6)\/((-18)\/(-18216)*33).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1822431 and 24?\nAnswer: 14579448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 1.3. Let r = -0.1 - -0.1. Let w = i + r. What is the nearest to -0.1 in -0.3, w, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -9*n + 8. Let g(r) = r + 1 - 2 + 0*r. Let d be -3 + 15\/5 + 3. Let z(m) = d*x(m) + 24*g(m). Let q(u) = u. Determine z(q(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/3)\/(-2)*1. What are the prime factors of 217 - k - (30 + -26)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 6*k + 2. Let n(f) = -6*f**2 + 42*f + 15. Let s(q) = 15*d(q) - 2*n(q). Let j(y) = -y. Suppose -2 = -4*v + 6*v. Give v*s(h) - 6*j(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1226420 + 13253?\nAnswer: -1213134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5\/43683 + 2058451\/46740810. What is the common denominator of -61\/80 and w?\nAnswer: 8560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(2\/9))**(-13\/2)*(f\/(f**2\/f))\/(f\/(f\/((f\/f**(-3\/4))\/f))) assuming f is positive.\nAnswer: f**(-79\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 1 = -l. What is the first derivative of 2*u**2 + 8 - l*u**2 + 6*u**4 - 4 wrt u?\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103281279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 6\/2 - 0\/4. Solve -3 = -3*m - l*x, 3*m = -m - 2*x + 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1122730 - -1404\nAnswer: 1124134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b + 18*b + 50 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2223, 4295, 6053, 7341, 8003, 7883?\n\"Answer: -26*f**3 - f**2 + 2257*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, f: 2, h: 1, w: 8, t: 5, x: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 2 + 14 = 0. Suppose -3 = 4*a - 4*k + 1, o*a + 28 = -2*k. Put 1, -1, a in descending order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 512844 to the power of 1\/2, to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*q)*(-4 + 4 + 2*q)*(-2*q - 5 - 190*q**2 + 4 + 184*q**2).\nAnswer: 24*q**4 + 8*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-12)\/s*s*s**(-13))\/(s**(-1\/5))**4)**(3\/23) assuming s is positive.\nAnswer: s**(-363\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 65*l**2\/2 + 24360*l.\nAnswer: 5*l*(13*l + 9744)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -5*f**2\/4 + 180120*f + 3602900 = 0.\nAnswer: -20, 144116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f. Suppose -2 = 200*s - 202*s. Let v be (1 + -1)*s\/2. Let y be i(v). Solve -10*r + 7*r - 12 = y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.09 - 0.01. Let a = o + 0.2. Put -5\/6, a, -3\/7 in decreasing order.\nAnswer: a, -3\/7, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 396 = -2*w, -3*w - 775 - 17 = -2*u. Let g = 536 - u. What is the lowest common multiple of g and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-4)\/(-2))\/((-178)\/(-1513)). Solve 5*k - 37 + z = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -92.634 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 156, 2459, 8728, 20949, 41108, 71191, 113184?\nAnswer: 169073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1710238 (base 9) to base 11.\nAnswer: 59a9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 7, m: 3, y: 8}. What is prob of picking 1 y and 3 r?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9091994887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 82*w - 119. Let h(p) = -41*p + 63. Let i(u) = -6*a(u) - 11*h(u). Find the first derivative of i(k) wrt k.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**4 - f**3 + f**2. Let i(c) = -12*c**4 + 218*c**3 + 3978*c**2. Let z(t) = i(t) + 8*l(t). Find the third derivative of z(u) wrt u.\nAnswer: -96*u + 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1)**(-1\/67)\/((a**(-2\/7)*a)\/a*a*a**(-19)) assuming a is positive.\nAnswer: a**(8569\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b - 20. Let u(n) = -n - 21. Let v(i) = 2*k(i) - 3*u(i). Calculate the remainder when (200\/(-32))\/(1\/(-4)) is divided by v(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 72, 4, 5 in descending order.\nAnswer: 72, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/23 - (-3)\/(-12)*15484\/(-5635))*9?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a + 3\/20*a**5 + 0 + 0*a**3 + 3\/2*a**2 + 0*a**4. Find the first derivative of c(h) wrt h.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -143 - -1218?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 2*o - 6. Let q be m(-5). Let s(a) = -10*a - 18. Let p(k) = -5*k - 9. Let b(v) = q*p(v) - 4*s(v). Is b(-9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 119.4 + -124.29. Let f = 0.11 - h. Let x be 124\/140 - 4\/14. Which is the nearest to 2?  (a) f  (b) x  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-476)\/(-51))\/28*-39?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) + (sqrt(288) - sqrt(288)*2)*4)**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -4*g**3 - 18*g**2 + 2*g + 4. Determine z(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -16 less than or equal to -1507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v + 22. Let n be d(-7). Which is bigger: n or -6\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -67 - -66.6. Let g = 1124 + -1129. Let a be 0\/1 + 2\/(-12). What is the nearest to a in 3, s, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14088848 - 19855848. Round x to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*g = -2*g + 95. Let n = g + 12. Let h be n\/(14\/(-36)) + -2. Is 15 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/3 - 134*r**2\/3 - 1345*r\/3 + 29678\/3.\nAnswer: (r - 142)*(r - 11)*(r + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 64.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 - 6 - 1*-1. Let t(j) = j**2 + 2*j - 1. Suppose 3*b = 35 + 28. Let s(i) = b - 14 - 6. Calculate v*s(r) - t(r).\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -735*b**3 + 3*b**2 + 9*b + 1. Determine h(1).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101011110 + -11101?\nAnswer: 101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34353, -2, 12, 3.\nAnswer: -34353, -2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, x: 1, m: 7}. What is prob of sequence tm?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 1233\/2068?\nAnswer: 1233\/2068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7\/6, -0.5, -20509, -3, 2 in descending order.\nAnswer: 2, -0.5, -7\/6, -3, -20509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1350712?\nAnswer: 2, 11, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -123 (base 5) to base 15\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9364, -18837, -28310, -37783, -47256?\nAnswer: -56729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1851134 to the power of 1\/2, to the nearest integer?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the third derivative of 3*w**6\/20 + w**5\/30 - w**4\/6 + w**3\/3 + 29*w**2. What is the units digit of f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = g - 14. Let c(r) = r - 9. Let f be c(11). Let b(z) be the third derivative of -1\/3*z**3 + 19*z**2 + 0 + 0*z. Give f*p(m) - 14*b(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 11*b**2 - b + 16. Let u be k(11). Sort 1\/5, u, -4 in descending order.\nAnswer: u, 1\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49862 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3 + 43*t**2 + 196*t + 228.\nAnswer: (t + 2)*(t + 3)*(t + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 1 = 13. Suppose -f - 8 + 71 = k, -2*k - m*f = -136. Suppose 4*u + 24 = 2*l - u, 0 = -4*l + 5*u + k. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5 - 4. Let g(a) = a + 10. Let d be g(-7). What is the second derivative of 4*f**h - 3*f**d + 2*f - 2*f**3 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -15*v**4\/16 + 11*v**3\/4 - 3*v**2\/4 + 59. Determine u, given that c(u) = 0.\nAnswer: 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85215167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 43040558\/309 + -139290. Let m = -1\/618 - w. Let c(q) = q + 3. Let x be c(-3). Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6 - 11 - (0 - 4 - 2331)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 113278 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*x + 15999 = -53*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-6\/5)*f)\/(f*f*f**(2\/5)))\/(f\/f**7)**(-1\/25) assuming f is positive.\nAnswer: f**(-46\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6636755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14118 and 6.\nAnswer: 14118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -37717 < -38455?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 21 = -3*q, -2*q + 4*n + 2 = 3*n. Suppose 0 = -q*l + 6*v - v + 20, -4*l + 21 = -v. Let g(h) = h - 2. Let w(m) = m - 4. Calculate l*g(b) - 3*w(b).\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/4 - 5\/10. Suppose -4*d + 2*d + 3*b = -16, -y*b = -4*d + 48. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + d + 5*m = 5, 2*d + 3*m + 13 = 0. Let u(x) = x**3 + 8*x**2 + 7*x + 2. What is the units digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -38026.272 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of 6*y**5\/35 + 9*y**4\/28 + y**3\/7 + 10. Let k(s) = 0. Calculate s.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -780, -772, -760, -744, -724?\n\"Answer: 2*m**2 + 2*m - 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 20069380, 20069381, 20069382, 20069383, 20069384, 20069385?\n\"Answer: y + 20069379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.3, 3, -9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 372 - 363. Suppose 3*j - g = 17, -4*g - 28 = -11*j + d*j. Which is the closest to -1?  (a) -19  (b) -0.3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(1792)*-2 - sqrt(1792) - (sqrt(4032) - sqrt(4032)*2))\/(3*(sqrt(100) - sqrt(100)*-3) + sqrt(100))*-4.\nAnswer: 96*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -96*g**2 + 13*g - 31. Give s(2).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(2) + 2 + sqrt(18))**2 - (sqrt(128) - (((0 + sqrt(128))**2 - sqrt(128)) + 2)).\nAnswer: 24*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -2486*b. Let g(o) = 2*o**2. Determine g(j(u)).\nAnswer: 12360392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2211*c + 2209*c + 66*j = -58, 0 = -5*c + 4*j - 0*j - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 45354 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13.6 and -7.\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -5*m - 8. Let r(n) = -6*n - 9. Let y = -73 - -79. Give y*r(a) - 7*x(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -205*p - 159 - 866 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 5*h + 30, -5*h + 8*h + 34 = -4*o. Let g(t) = 7*t**2 + 29*t + 2. What is the tens digit of g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -4*a - 76. Give m(-18).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27461141?\nAnswer: 37, 742193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**5\/5 + 34*f**4\/5 - 132*f**3\/5.\nAnswer: -2*f**3*(f - 11)*(f - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, h: 7}. Give prob of sequence ssh.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 1565 divide 247130715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 204d82 (base 14) to base 15\nAnswer: 167b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2499 = 49*y - 18*y + 88*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 5 + 3)*(-3*x + 3*x - 3*x)*((-5 - 2 + 4)*(-8 + 24 - 13) - 1 + 4 - 4) to d*x + l and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 178354, 356892, 535430, 713968, 892506?\nAnswer: 1071044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (-6 + 7 - (2 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(96) - (sqrt(96) - 2*sqrt(96))*-4)\/(sqrt(32) + sqrt(128)\/sqrt(4)) - (2 + sqrt(1200)*1 + sqrt(1200) + -3 + 2*sqrt(1200) + sqrt(1200)))**2.\nAnswer: -203*sqrt(3) + 123631\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20349 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9589341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3*d**3 + d**2 + 13*d - 7. Let j be n(5). Calculate the common denominator of 149\/6 and ((-4)\/(-48))\/(2\/j*-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*sqrt(99)*-2)\/(sqrt(9) + sqrt(36)\/sqrt(144)))**2.\nAnswer: 39600\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 51005361+-1\nAnswer: 51005360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 5*k - 1000. Suppose -2*v - 38 = k. Let y = -90 - v. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12954 (base 11) to base 2.\nAnswer: 100100000010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -77 divided by 6\nAnswer: -77\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 2*x - 7. Suppose 5*a - 8*a + 27 = 0. Let f = a + x. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38890632 divided by -2\nAnswer: 19445316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z. Let a(u) = 2*u**3 - 6*u**2 - 6*u - 5. Let x be a(5). Suppose j - x = -4*j. Let o(n) = 15*n - 2*n**2 - 28*n + j*n. What is o(q(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/(-1))\/((-26)\/(-39)). Let d = f + 0. Let w(c) = 8 + c - 4 + 3 + 0. What is w(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1270001576*r**4 + 616638444?\nAnswer: 5080006304*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve i + 3*r = 13, -30 = 5*i + 26*r - 30*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11682135 (base 9) in base 10?\nAnswer: -5722763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10702.4099955 + -10702.71. Let v = -13.7 + 14. Let m = h + v. Round m to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7075729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3812 - -3832. Which is smaller: g or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**5 - 14*u**4 - 22*u**3 - 10*u**2.\nAnswer: -2*u**2*(u + 1)**2*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/((-294)\/(-9)))\/((-2)\/14)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-129)\/5 + 26)*30\/4. Suppose -2*i - 5 = -5*l - 5*i, 3 = 3*l + 3*i. Sort n, 5, l in ascending order.\nAnswer: l, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -50 + 48. What is the hundreds digit of (3\/6)\/(1371\/684 + c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1299, 0.07, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 39 and 0.051.\nAnswer: 1.989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1304\/37 or -34?\nAnswer: -1304\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10264831 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4*304\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9 + 3*n**5 + 9 + (4 + 2 - 4)*(3*n**5 - 4*n**5 + 0*n**5) - 2 + 2 + n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**3\/6 + p**2\/2 - 213*p - 9. Let a(h) = 12*h - 2. Determine -a(b) - 6*y(b).\nAnswer: -6*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 216016084?\nAnswer: 2, 54004021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -267.\nAnswer: -1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 86 - 81. Solve -4*q - 3*a + 12 = 35, -q - r*a - 27 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g + 590*g**3 - g + 0*g - 2*g + g.\nAnswer: 590*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 2*x**2 - x - 10. Let f be g(-3). Suppose -2*h = 7 - f. Suppose 2*w + 230 = 2*m, h*m - 5*m = -2*w - 343. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ynycyycynyyc. Give prob of picking 2 n.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3762 and 114?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -564 divided by -662?\nAnswer: 282\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 396269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4*x**2 + 5*x - 4. Let q be b(1). Let d(v) = -11*v**2 - 67*v + 1. Let z be d(-6). Solve z = y - 5*k, y + 5 = -q*k + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/147)\/((-6)\/(-42))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d**2 + 9*d - 2. Let s be l(-11). Let q = s - 16. Solve -w = w + q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 1265. What are the prime factors of u?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -119 + 119 + 62*a**2 + (3 - a - 3)*(-13 + 13 + 6*a) + 4*a**2 + 0*a**2 + 4*a**2 in the form f*a**2 + z*a + r and give f.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j**3 + 3*j**3 + 0*j**3)*(699*j + 1 - 699*j - 105*j**2 + (3 - 3 - 4*j)*(-2*j - 4*j + 4*j)).\nAnswer: 194*j**5 - 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 - (-55 + -1)) + (1 - 1 - (-71 - -81)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -32989 * -7467\nAnswer: 246328863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5*g = -13 + 3, -m - 2*g = -2. Let l(p) be the second derivative of -138*p + 7\/12*p**4 + 0 + 3\/2*p**2 + 1\/20*p**5 + 3\/2*p**3. What is l(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is ec - -7fac?\nAnswer: 8098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add together -540 and -25.\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1387, -2793, -4203, -5617, -7035, -8457, -9883?\nAnswer: -11313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 131041 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q - q = -6*q - 83*j + 689, 0*q + 2*q - 18 = -j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 2*(sqrt(90)\/(sqrt(9) - -2*sqrt(1296)))\/(sqrt(180)*-2*-6).\nAnswer: sqrt(2)\/900 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 8123 = 10153. Find the second derivative of -4569*y**2 - 2*y**5 - 3 - 3*y**3 - 22*y + q*y**2 wrt y.\nAnswer: -40*y**3 - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 771750 and 42210.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/7989 and -137\/36.\nAnswer: 95868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128) + -2)*3)**2 + (4*(-4*sqrt(10) + sqrt(10)))\/sqrt(5).\nAnswer: -300*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + i**2 + i + 863. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -3  (c) -64  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*a**3 + a**3 + 4*a**3 - 14*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.161905kg in grams?\nAnswer: 7161.905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5920, 11492, 16730, 21634, 26204?\n\"Answer: -167*a**2 + 6073*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 77*u**2 + 61*u - 64. What are the prime factors of m(13)?\nAnswer: 2, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 3*w - 4*b - 14, 0 = -3*w - b + 26. What is the least common multiple of 280\/7 + -6 + 10 and w?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(1 + sqrt(304)) - (sqrt(266)\/(sqrt(14)\/sqrt(2)))\/sqrt(2).\nAnswer: -9*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, 37, 92, 167, 262?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/2  (b) -2\/5  (c) 0  (d) 20  (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2301 + 231 = -243*m + 69*m - 948 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2038)\/6114)\/((-412)\/6)?\nAnswer: 1\/206","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6\/7  (b) 2  (c) -0.1  (d) 12\/31  (e) -3\/5  (f) 8\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24147103*b**2*j**3 + 1932*b**2*j**2 - b*j + 965*b wrt j.\nAnswer: -144882618*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:41 PM and 10:29 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96774 and 16764.\nAnswer: 2129028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34\/(-51)*2\/(24\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 2 h when three letters picked without replacement from chcccchcchc.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 1968 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -7*p**3 - 763079*p**2 + 2071272*p + 654084 = 0. What is p?\nAnswer: -109014, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -199\/116280 and 89\/63954.\nAnswer: 1279080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d + 8. Let h be k(6). Suppose -2*m + 2*b - 5*b + 6 = 0, b = -2*m + h. Suppose 5*c = -2*s + 149, m = -0*c - 2*c - 6. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6285837 to the power of 1\/2, to the nearest integer?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 633.2574 centuries in years?\nAnswer: 63325.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 48, -349, 126.\nAnswer: -349, 48, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94*b**3 - 8*b**2 + 8*b**2 - 82*b**3.\nAnswer: -176*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.05 - -8.35. Let v = -1.3 + z. Let h = v - 7.2. Is h less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 23*w - 3. Let i = -218 + 299. What is the remainder when i is divided by a(2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -70197*g**3*n + 636*g**2*n**3 + 83*g*n**3 + 27*g*n**2 - 2*g*n + 1017*g + n wrt g.\nAnswer: -421182*g*n + 1272*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 226 - 1584\/7. Which is the second smallest value?  (a) 0.4  (b) k  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23638 is divided by 5894?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.53 - 2.63. Let g = z - -12.1. Let m = 15 - g. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 + 236*i + 1971. What is z(-9)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**(-19))\/(u\/(u*u*u**(-33)*u)))\/(u\/u**(3\/4))**44 assuming u is positive.\nAnswer: u**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 519701120 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00497447413 to 5 dps.\nAnswer: 0.00497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39724?\nAnswer: 2, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g. Let q(r) = -15*r - 5. Let h(j) = 7*j + 2. Let k(n) = 5*h(n) + 2*q(n). Suppose 0 = 6*z - 10*z - o - 20, -12 = z + 2*o. Determine z*v(d) - k(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 176467, 1411784, 4764787, 11294320, 22059227, 38118352, 60530539, 90354632?\n\"Answer: 176474*u**3 - u**2 + 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.045, 864241, 2 in decreasing order.\nAnswer: 864241, 2, 0.045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 42, 26, 10?\n\"Answer: -16*x + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 2*q + 7, q = 5*v - 13 + 4. Let y be (-6)\/(-9)*-3*v. Which is the nearest to -1?  (a) 2  (b) 0.2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -14, -2, 0.01 in decreasing order.\nAnswer: 0.01, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the second derivative of -1\/20*q**5 - 1\/6*q**3 + 0*q**2 + 0*q**4 + 4*q + 0. What is the second derivative of d(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 30 = -4*n, t = -2*n + 5*t - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g**3 - 5*g + 4. Let q(p) = p**2 + p. Give i(d) - 4*q(d).\nAnswer: -2*d**3 - 4*d**2 - 9*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:24 PM and 4:37 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:17 AM and 12:24 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3535.674g to milligrams.\nAnswer: 3535674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from iiiiiqiif.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of -25*s**4\/12 + 65*s**3\/6 + 4*s**2 - 2*s. What is the first derivative of c(z) wrt z?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 210444 and 10792?\nAnswer: 420888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 94 - 93. Let q = -0.1 - -0.2. Which is bigger: c or q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1523 is divided by 467?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2996 rounded to two decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5929517 litres to millilitres.\nAnswer: 592.9517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*d + 14 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13213333 + -122222?\nAnswer: 13031111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -s + 3*s + 148, 3*s = -2*b + 153. Suppose -18*f = -23*f + b. Suppose -f*n = -11*n - 72. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifty-five halves of a kilogram?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 13  (b) -1  (c) -0.2  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8189*l**2 - l*s**2 - 730972*s**2 wrt l.\nAnswer: 16378*l - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 837307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3080 divided by 56\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**2 + 12*m - 19. Let q be i(-14). What is the derivative of -6*f + 13*f + 2 + 6 - q wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23565637 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.17 times 14\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -70136.691 to the nearest one hundred.\nAnswer: -70100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*n + 9*n - 11 = 4*k, 3*k + 5*n + 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 2\/3, 4, 13\/4, -262 in descending order.\nAnswer: 9, 4, 13\/4, 2\/3, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-494)\/91 + 4)\/(240\/(-630)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1008*w**2 - 10*w**2 - 221110508*w + 221110508*w.\nAnswer: 998*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -18\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 3*m**2 - 4. Let y be w(5). Let i be (y - 14)*(-2)\/3. Let n = i + 40. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -126995, -126395, -125785, -125159, -124511?\nAnswer: -123835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -57, -15, 594, 2 in increasing order.\nAnswer: -57, -15, 2, 594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50984 is divided by 12744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 11:15 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 0*q = 1. Let b = 1 + q. Suppose -8 = b*o - 4*o. Solve 3*i + 9 = 3*f, -2*f + 23 = f + o*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yjx when three letters picked without replacement from {x: 1, j: 1, y: 6, w: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -173, -172, -171, -170, -169?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156178 is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 24*d**2 + 16*d - 388. What is the units digit of w(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -45593*a**3 + 90718*a**3 - 45400*a**3.\nAnswer: -275*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 7:46 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(4 + -8 - -20). Let o = 3 + -2.9. Which is the third smallest value?  (a) 0.06  (b) o  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 40873*q. Let h(n) = -2*n. What is i(h(m))?\nAnswer: -81746*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -5*s**2 - s. Let t be v(-1). Let u be 8*(-2)\/t + -4. Suppose u = -3*r + 6*r - 6. Which is the closest to r?  (a) 1\/8  (b) -1\/6  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -4*i + 9. Let b(c) = 5*c - 9. Let p(q) = 6*b(q) + 7*j(q). Calculate the remainder when p(12) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*sqrt(60)\/(sqrt(12) - sqrt(12)*2).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 1124*h**2 + 8*h + 7. Let f be r(-1). Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 2*p**2 + 25*p - 11. Let o be s(-13). Suppose 0 = -5*h + 2*q + 2378, 496 = o*h - 2*q - 460. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -657615 and 4.\nAnswer: -2630460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 5:20 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*b - 2877 = -34*b. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5226357830 to the power of 1\/2, to the nearest integer?\nAnswer: 72294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68, -371, -1204, -2837, -5540?\nAnswer: -9583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 982.921 to zero dps.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 17 - -9.382525\nAnswer: 26.382525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - k - 43*r + 31*r + 1045 = 0, -k + 430 = 5*r for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -3*d**2 - 138496*d - 6. Determine x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3675365 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 66*s. Let u(b) = -335976*b. Calculate t(u(z)).\nAnswer: 112879872576*z**2 + 22174416*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 988782*x**3 - 3013097*x**2?\nAnswer: 5932692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.5 - -0.3. Let b = 101 - 299\/3. Let k be 6\/2 + 4\/(-2). What is the closest to k in 0.4, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 135341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**3 + v**4 + v**2 - 3*v**4 + v**3 + 1113*v**4 - 504*v**4 - 488*v**4 + (4*v**3 + v**3 - 3*v**3)*(-4*v + 2*v + v) - v**4 + 2*v**3 - 2*v**3.\nAnswer: 116*v**4 - v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1206 - 1988 - 2341 - 1145*z**2 wrt z.\nAnswer: -2290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 5*r**2 - 94*r + 588. What is m(9)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -96*j + 22 - 41 - 52 + 14*j. Calculate i(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 3*u = -15, 0 = 3*f + 7*u - 3*u - 20. Let n be 0\/(1*(0 - 1)). Suppose -2*d + 3 + 3 = n. Put f, -1, d in descending order.\nAnswer: d, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -200 (base 4) to base 5\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*l + u - 9, l - 37*u - 8 = -41*u for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**3 - 135*h**2 - 219*h - 1382. What is v(-66)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 571?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3988993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 810604787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 56775 and 192501315?\nAnswer: 11355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 - 4 - 1)*(-c**3 + 6*c**3 + 6*c**3) to the form k*c**3 + g*c**2 + q*c + w and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -8776095, -35104375, -78984843, -140417499, -219402343?\n\"Answer: -8776094*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*h - 3*a = 5*h - 14, 2*h + a + 10 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 18914990, 37830001, 56745016, 75660035, 94575058, 113490085?\nAnswer: 132405116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -2*j + 24, 3*j + 4*d + 0*d - 36 = 0. Let v be (-4 - -4 - -4) + -7. Let f be (4\/j)\/(4\/v). Sort f, 3, 2\/5.\nAnswer: f, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -122, 4.3, 12?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 273*a + 1. Let i be m(2). Suppose 0 = u + 98 - i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -20 or -93\/5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -12083 or -5799?\nAnswer: -5799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*w - 10 - 20. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2480*v**2 + 6*v**3 - 45*v**3 - 2480*v**2.\nAnswer: -39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 12:49 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -285 + 203. Let y = -82 - r. Suppose y = 2*m - 40 - 120. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the first derivative of -313*z**5\/5 - 114*z**3 - 76. Find the third derivative of n(w) wrt w.\nAnswer: -7512*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -786.18 - 271.\nAnswer: -1057.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 - (-2 + -10 + -64 + 88).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -147*x**4\/2 + 1344*x**3 + 37452*x**2 + 61056*x + 25704 = 0. Calculate x.\nAnswer: -14, -6\/7, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -211*w + 1909. What is the remainder when 971 is divided by r(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 85216981*z**3 + 0*z**4 + z**4 - 85213737*z**3 + 2*z to j*z + k*z**4 + p + x*z**2 + n*z**3 and give n.\nAnswer: 3244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44.06 - 45.06. Which is the nearest to 6?  (a) o  (b) 2.4  (c) -2  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j + 2*i + 36 = 0, j - 248*i - 3976 = 5*j + 936 + 40 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7 * 9281018.\nAnswer: 64967126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 5*v + 16, -5*y + 11 + 9 = v. Suppose y*f + 5 = 17. Suppose 5*m - 3*t + 0*t - 66 = 0, 4*t = f*m - 44. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 208717 divided by -1331\nAnswer: -208717\/1331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z + 8. Let t be g(6). Let f(c) = c**2 - 29*c - 1334. Let k be f(54). Factor 4*r**t + 2 - 3 - k*r + 16*r**3 - 3.\nAnswer: 4*(r - 1)*(r + 1)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*c - 2*c - c)*((-2*c**2 + 4*c - 4*c)*(-13*c - 5*c + 40*c) + 2*c**2 + c**3 - 2*c**2) in the form w*c + n*c**4 + j + o*c**2 + z*c**3 and give n.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4450 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -21*v**3 - v. Let t(x) = 32*x**3 + 2*x. Let h(n) = -8*c(n) - 5*t(n). What is the second derivative of h(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373117?\nAnswer: 79, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/7 and (-2 - (-174)\/(-20)) + 1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.056 - -0.364. Round b to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11865 is divided by 1184?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 202 + -288. Let p = j + 86.00000093. What is p rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u + 10. Let d be q(-8). Suppose -2*s = 2*x + 2*s - 56, 60 = d*x + 2*s. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that 5*x**3 - 19600165*x**2 + 19208333201440*x - 19208313601280 = 0.\nAnswer: 1, 1960016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 9*k**2 - 9*k + 2. Let l = -14 + 24. Is v(l) 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 xttxnnxnt. What is prob of picking 2 x and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -10. Let y be 46\/m + 4\/10. Suppose k = 2*s - 6, 0*s + s + y*k = 3. Solve o + s*u = -0*o - 11, 2*o + 2*u + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, f: 6, e: 1, j: 3, u: 2, p: 1}. Give prob of sequence pu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-7 + -4 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16*b - b**3 + 23*b - 21*b - 9*b**3 + b**3 + 2*b**3 + (3*b + 2*b**3 - 3*b)*(2 + 3 - 3).\nAnswer: -3*b**3 - 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5  (b) -0.17  (c) 4  (d) 0  (e) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*m**4 + 40*m**3 - 80*m**2 = 0. What is m?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0569 equal to 0.001357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 3*w = 44 - 5, -110 = -5*c + 4*w. Let z be (21\/102)\/(c\/4). Let x = z + -4667\/1683. Calculate the common denominator of -13\/10 and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 858983470.\nAnswer: 2, 5, 85898347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 235920 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 1 = -0. Let p(u) = -2*u**2 - 2*u + 0 + 0*u - 1. Calculate p(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = u + 3*o, 0*u - 3*o = 2*u + 7. Suppose -b - u*b = -25. Factor 3*a**5 - 5*a**4 - 2*a**2 + b*a**2 - 6*a**2 - 4*a**4 + 9*a**3.\nAnswer: 3*a**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o**4 - 4*o**4 + o**4)*(403 - 257 - 230).\nAnswer: -84*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 + 6*g + 16. Suppose 3*p = -30 + 21. Give i(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fifty-nine quarters of a milligram?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 + 14*r + 26. Let b be g(-4). What is the second derivative of 13*n**2 + 27*n**b + 71*n**2 + 69*n wrt n?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 + 2*v**2 + 72*v + 374. Give a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*y - 242 = -44. Calculate the remainder when 103 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -107837, -107850, -107869, -107894?\n\"Answer: -3*w**2 - 4*w - 107830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -8*h**3 - h**2 + 13*h - 12. What is y(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + 2. Suppose -b = -q*c - 3602, -b = -4*b + c + 10782. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.6, 0, 0.03, -2\/13, 46?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z = o + 5, -2*z = -5*o + 15 + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 60381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, 3, 5544, 2 in descending order.\nAnswer: 5544, 31, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*q + q**2 + 2*q)*(0 - 6 + 3 + (2 - 2 + 3)*(-1 - 2 + 5))*(53*q - 101*q - 4 + 50*q) in the form i + v*q**3 + u*q + x*q**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - ((-8 - 1) + (-10 - -3) + 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2553498, -5106929, -7660362, -10213797, -12767234, -15320673?\nAnswer: -17874114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5*p - 3*m + 8 = 0, -3*m = -4*p + 1. Is -1\/976 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.9 - 2.2. Which is the nearest to -4?  (a) 0  (b) 2\/9  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**2 - 24*n - 143. Give u(-16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -192053*q*t - 7507*q - 1 wrt t?\nAnswer: -192053*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -625 + 638. Sort 0, -4, g, 1.\nAnswer: -4, 0, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13453260 (base 7) in base 8?\nAnswer: -4626674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1*3 + 3 + -3. Let j be (0*p\/(-12))\/(-2). Suppose q + 3*q - 32 = j. Which is greater: q or -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 8, -21, 1\/6, -1, 0.05?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 11:26 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -117071\/37 < -3163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (47 - (-23636)\/(-304))\/(3\/4)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 162 + -156. What is p in 4*p**3 + a*p**3 + 508*p**4 - 501*p**4 + p**5 = 0?\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 32 by 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1062 - -3352. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1945747, -1945748, -1945749, -1945750, -1945751, -1945752?\n\"Answer: -o - 1945746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((b + 1 - 1)*(b - 5 + 5) - 3*b + 3*b + b**2 + 3*b**2 + 2*b**2 - 4*b**2)*(-99*b - 14*b**2 - 23*b + 62*b).\nAnswer: -42*b**4 - 180*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - 4) + (-8 - -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 654 divide 1144500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c. Let u(q) be the third derivative of q**6\/720 - q**4\/12 - 6*q**2. Let j(x) be the second derivative of u(x). Determine a(j(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 97 divide 2035157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 511328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 395 - 384. Solve 64 = -f*d - 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 442, 1835, 4160, 7417, 11606?\n\"Answer: 466*k**2 - 5*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -a + 3*j - 7, 0 = 3*a + 3*j + 9. Suppose 92 + 72 = a*x. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-23)*y)\/y**(-26))\/(((y*y**32\/y)\/y*y)\/(y*y*y*y**(-13)*y*y*y*y)) assuming y is positive.\nAnswer: y**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8.164 and -5?\nAnswer: 40.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of -11 + (-3 - (3 - 2851))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Suppose 4*n + h - 17 = 0, -5*n + 2*n = -4*h - 8. Suppose -n*v = -7427 - 7865. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -4*c**2 - 5*c + 5. Let w(v) = 2*v**2 + 2*v - 2. Let p(j) = -2*d(j) - 5*w(j). Let h(m) = 25*m. Determine h(p(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 9, y: 1, o: 1, f: 8}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 7*j - 4*j + 3*j**2 - 2*j**2.\nAnswer: j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 5*n = -42 - 60, 0 = 2*y - 3*n + 52. Let g = 28 - -13. Let h = g + y. Calculate the lowest common multiple of h and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -2, -5, 1, 4, -8 in ascending order.\nAnswer: -9, -8, -5, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 58, -3, -2 in ascending order.\nAnswer: -3, -2, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-8486)\/(-6)*(3 - 5)*48. Let g = i + 79776. What is g rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*q - 1302. Let z = -5 + -55. List the prime factors of q\/(-10) - 36\/z.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2908.4 or 4?\nAnswer: 2908.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-2)*9996\/(-36652)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 47 and 1269?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/5))**(2\/29)\/(((p\/p**(2\/9))\/p)\/(p**8*p*p)))**(-4\/5) assuming p is positive.\nAnswer: p**(-53216\/6525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 6600 = -4*g, -8295 = -5*g + 2*c + 2*c. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m\/(m**1\/m)))**(2\/45)\/((m\/(m*m**2*m))\/(m**0*m))*((m*((m**(6\/5)*m)\/m)\/m*m)\/m**6)\/(m\/m**0)**(-2\/33) assuming m is positive.\nAnswer: m**(107\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b + 1. Let r be q(2). Let d = r + -7. Let y = d + 10. What is the least common multiple of 20 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*t - 234 + 194. Solve -2*x - 3*h = 7, 22 = -t*x + h + h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 5, 4, -30, -20, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 8. Suppose 0 = -23*j + 21*j - 6. Which is the second biggest value?  (a) 0.2  (b) 0  (c) n  (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 136, 138, 140, 142, 144, 146?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1 + -1.1. Let m = f + -4.1. Let p = m - -5.30000106. Round p to seven dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 66.4 - 66. Which is the nearest to -2?  (a) j  (b) 2  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x - 5*x - x**2)*(-14801 + 14807 + 25*x**2 + 27*x**2).\nAnswer: -52*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 910 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 f when two letters picked without replacement from kkoikkofk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -5*a**3 - 12*a**2 + 33*a + 68. Give u(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 56337 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 3:14 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*z - 20 = 0. Let h = -7 + z. Let d be (12\/(-15))\/((-10)\/(-50)). Sort h, d, 4.\nAnswer: d, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**4*i*i**(-1\/15))\/(i**(1\/2))**7 assuming i is positive.\nAnswer: i**(-167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35815\/88 + 2886\/11. Let p = o - -145. Let g = -17 - -22. Which is the nearest to -0.1?  (a) p  (b) g  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (17 - 17)\/(2*1). Let j(l) be the third derivative of 0*l**3 + 0*l**5 + 0*l**4 - 4*l**2 + x*l + 0 - 1\/720*l**6. Factor j(r).\nAnswer: -r**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1804, -1805, -1806, -1807, -1808, -1809?\n\"Answer: -a - 1803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*o**4 - 11 - 40*o**3 + 148*o + 38 + 11*o**3 - 148*o with respect to o.\nAnswer: -16*o**3 - 87*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 2:15 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/12)\/(((-3)\/5)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.59 + 5.99. Which is the second smallest value?  (a) 2  (b) 3  (c) h  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 176 + -1013089?\nAnswer: -1012913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {x: 4, w: 1, q: 1, f: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 331851.\nAnswer: 3, 13, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-288)\/(-126))\/(-4) - (-86)\/28?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of o**5\/20 + o**4\/2 + 7*o**3\/6 + 7*o**2\/2 - o. Suppose 21 + 195 = 9*j. Let c = 19 - j. Calculate i(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 580.164 years in months?\nAnswer: 6961.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 53223?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -625*g**8\/28 - 530*g**7\/7 - 3109*g**6\/40 - 159*g**5\/10 - 9*g**4\/8 - 678*g**2. What is t in d(t) = 0?\nAnswer: -1, -3\/50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 750 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -548*h**2*r**2 - 10*h*r**2 + r**2 wrt h.\nAnswer: -1096*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 3)*(-483 - 4873 + 792*m**3 - 793*m**3).\nAnswer: -m**3 - 5356","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25*y + 49*y - 22*y)*(3 + 0 + 0)*(0*y + 5801 - 5784 + y) as u*y + f*y**2 + k and give u.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**2 + 4*v**2 - 5*v**2 + (-5 - 2*v + 5)*(23 + 14*v - 23)*(-6 + 0 + 5) to a*v + z + n*v**2 and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23*z + 44\/7*z**4 + 244\/7*z**2 + 40\/7 - 166\/7*z**3 - 1\/7*z**5.\nAnswer: -(z - 40)*(z - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 2:32 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**1\/(u*u**(-1\/3)))**46 assuming u is positive.\nAnswer: u**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -3*o**3 - 33*o**2 - 46*o + 7. Let k be n(-12). Is 990 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9.05847ml?\nAnswer: 0.00905847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16.5 + -0.5. Let m be (-6 + 6)\/(2 - (-3)\/3). What is the second smallest value in y, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*m**2 - 33*m**4 + 44*m**5 + 33*m**4 wrt m?\nAnswer: 2640*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 71 + -68. Suppose 0 = m*f - 105 - 15. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125 = -3*a + 119. Sort a, 2, -4 in decreasing order.\nAnswer: 2, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2 = o - 2*o, -10 = -4*o + 2*p. Suppose c - 12 = -4*d, -5*d + 5*c - o - 7 = 0. Suppose -d*q = -10 - 8. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 1590372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -477 + 582. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -129 divided by -878620.\nAnswer: 129\/878620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 551 = 336*x - 334*x, -2*t + 825 = 3*x. Calculate the remainder when 1674 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 = -n - 37. Suppose -4 = -2*x, -o + 3*x = 3*o - n. Suppose -6*b = -5*b + 5*g - o, 0 = 2*b + 2*g. Sort b, -5, 1 in decreasing order.\nAnswer: 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -4, 328?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 1:19 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36259 - -63822. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 675 minutes after 3:00 AM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26325 + r - 26325.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 50509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*a**2 - 3*a - 348 - 254*a**2 + 345 + 3*a to d*a + q + p*a**2 and give p.\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + (-7)\/21)*2\/(-4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 128 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 7 = -g, -2*g - 33 = -6*g + 5*q. Suppose g*z + 190 = 6*z - 2*i, 2*i + 6 = 0. Is (z\/(-1))\/(6\/(-21)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1276711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -3*g**2 + 3*g**2 - 2*g**2. Let a(l) be the third derivative of -l**5\/30 + 8*l**2. Determine j(a(w)).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/145537 or -0.025?\nAnswer: -3\/145537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 93461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -67, -69, -71, -73, -75?\n\"Answer: -2*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.19  (b) 184  (c) -2  (d) 2  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 209328 divided by -147\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.913 and -47?\nAnswer: 46.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*48235.4.\nAnswer: 24117.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -31 + 37. Let x be ((-1389)\/39)\/(v - 3). Let w = -7\/13 - x. Which is greater: 11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6 and 14339124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/110)\/(3\/((-30)\/(-24)*-3))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 12 = 2*l, -3*l + 11 = -5*k + 1. Calculate the remainder when 3 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25865 + -4317386377?\nAnswer: -4317412242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Do -18 and -186067\/11245 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -261 divided by -13719?\nAnswer: 87\/4573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2 + sqrt(45) - -1*sqrt(20))**2.\nAnswer: -258 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/((-27)\/3)*-18. Let a be 296\/176 + n\/(-4). Find m such that 2\/11 - 2\/11*m**2 + 2\/11*m**3 - a*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2 + 4216\/184 - 8\/(-92). Solve -15 = a*l - 78 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 617409 and 3787127.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3672434 at least 3672440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + u**2 - 2*u + 9. Let t(n) = 2*n**3 + n - 10. Let r(x) = -3*d(x) - 2*t(x). Let f = 42 + -47. Is r(f) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 9ad692?\nAnswer: 9ad697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 5, w: 1, k: 2, m: 8}. Give prob of sequence mm.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 19*n**2 - 91*n + 35. What is the hundreds digit of j(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.5 - 3.1. Let u = p - -4. Let x = 413\/5 - 83. What is the nearest to x in u, -2\/3, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 358 - 336. Calculate the remainder when 297 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1019044 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + z = 5*z + 20, -5*w - 4*z - 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 8705 + 27385 = 0. Is ((-30)\/50)\/(9\/w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s**3\/7 - 267*s**2\/7 + 366*s\/7 - 104\/7 = 0.\nAnswer: 2\/5, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-132)\/(-320) - (-3)\/16. What is the fourth biggest value in i, 3, -2, -26\/5, 3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*q**3 + 3*q**2 + 35*q.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, w: 9}. Give prob of picking 3 w.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -344766, -344767, -344768, -344769, -344770?\n\"Answer: -x - 344765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*u + 92 = 57*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 874 - 1072. Sort a, 2, -2 in descending order.\nAnswer: 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -40636.062906 + 40636. Let c = 0.063 + w. Round c to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 379 + -308. What is the second derivative of s + 92*a**5 + 65 - 2*a - 128 wrt a?\nAnswer: 1840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-104)\/(-20))\/((1\/1)\/(720\/288)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 5*q**2 - q + 2. Let z(h) = 11*h - 20. Let n(p) = -p**3 - 3*p**2 + 4*p + 7. Let c be n(-4). Calculate the remainder when z(c) is divided by s(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - (-1*sqrt(76) - sqrt(76)) - sqrt(76)))*4)\/(sqrt(44)\/(1*sqrt(11))) - ((sqrt(95) + sqrt(95)*2)*5)\/(sqrt(245)*2).\nAnswer: -71*sqrt(19)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 PM and 2:50 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -5, -50, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 6*p + 16. Let o be g(4). Suppose -4*b - 4*r = -1 + 13, 5*b + 10 = -4*r. Suppose -b*c + 2 = -6. Solve -o = v - 6*v + 5*l, 5*v - 13 = -c*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0 and -206745536607.\nAnswer: -206745536607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) -14631  (c) 6  (d) 3  (e) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00035129 to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(170) - (1*sqrt(170) + sqrt(170) + sqrt(170) - sqrt(170))*2) + sqrt(170))*-5)\/(4*-3*(sqrt(810)*-2 + sqrt(810))).\nAnswer: -5*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -187 + 365. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57163.\nAnswer: 57163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 (base 10) in base 13?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -148 + 149 - (1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j**2. Let g(k) = -19*k**2. Give f(g(q)).\nAnswer: -722*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -34\/13, 1032\/5 in descending order.\nAnswer: 1032\/5, 21, -34\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from erreeeerjrerjerr?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + w = -4*c + 13, -4*c - 3*w + 9 = 0. Let k be ((-2)\/(-3))\/((-14)\/6). Let r = -0.2 - 0.3. Put k, r, c in ascending order.\nAnswer: r, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*j + 81*j - 612 = 0. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 0*i = 4*i - 85, -62 = -2*b - 4*i. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35) - -2*sqrt(5040))\/(sqrt(1008)\/sqrt(9)).\nAnswer: 25*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 8*r + 34. Let y be v(-5). Let h(q) = -2*q**3 - 11*q**2 - 4*q - 3. Is 10 a factor of h(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 12:42 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -2093.\nAnswer: -9\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9\/12*(-32)\/(-84). Is 0 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10)\/sqrt(5)*-3)**2 + (sqrt(2) + 2)**2 + -5)*-1.\nAnswer: -19 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12100 - 220200222?\nAnswer: -220122122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in -33.85, 74, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1 - 0. Is -0.07 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29e4 (base 16) in base 9?\nAnswer: 15635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -815*r + 1633. Determine a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135365826*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z\/z**(-1\/4))\/z)\/z**(-6))**(-28\/9) assuming z is positive.\nAnswer: z**(-175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t - 1. Let c = 6 - 2. Let u(d) = -c*d**2 + d + 1 - 2*d + 3*d**2 + 2*d. Suppose 4*g - 3 - 2 = 3*s, -3*s - 1 = -2*g. Give g*v(x) + 2*u(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 10 = 0, 3*o = 3*u - 0 + 81. Suppose -5*v - 15 = 0, -3*p + 62 = p - 2*v. Calculate the remainder when o is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**2 - 4*k**2 + 5*k**2)*(0*k - 5*k + 3*k)*(-k + k - k)*(3 - 5 + 4).\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**2\/6 - 8\/3 = 0. Calculate k.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4\/9)\/h)\/h**(5\/6))**13 assuming h is positive.\nAnswer: h**(-533\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(405)*-5)**2.\nAnswer: 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 5*f**3\/3 + 460*f**2\/3 + 445*f\/3 - 910\/3 = 0.\nAnswer: -91, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 + 4*k - 10. Calculate r(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -69 + 69 + s**4 - 2*s**3 - 2*s**2 in the form j*s**2 + f*s**3 + y + h*s**4 + d*s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3 - 148\/6)*-3. Let a = 63 - d. Let n = 37 - 36.8. What is the closest to n in 4, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the second derivative of -i**3\/6 - 2*i**2 + i. Suppose 50*s - 23*s - 23*s - 16 = 0. Calculate w(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -1 - 1*-9. Let s = t - 8. Solve u = -s + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = 3*v - 0 + 2, 2*v + 10 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -57 less than 172442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (16\/(-156))\/((-60)\/18). Suppose -2*i - i + 6 = 5*a, -5*i + 10 = 3*a. Suppose a*o - o = 1. Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.575 + -2.575030553. Round q to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*g + 51 = -5*f, 5*f + 12 = -3*g - 2*g + 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 9\/104 and -111\/21230?\nAnswer: 1103960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -19. Let p = -9 + v. Let r(l) = l + 3. Calculate the remainder when r(7) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -94  (b) -92714  (c) 0.2  (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 16045780 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3  (b) -2  (c) 62  (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -436*a**7\/105 - a**5\/30 - 1207*a**3\/6 + 37*a**2 - 31. Differentiate q(r) wrt r.\nAnswer: -3488*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1.795  (b) -7  (c) 3\/13  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 134 and 111823?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3136343, -6272683, -9409023, -12545363?\nAnswer: -15681703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -0.122423.\nAnswer: 0.612115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4106 + -4099.99875. Let f = -6 + k. Round f to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1701?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -0.4, -3, 5\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -37, -191, -565, -1273, -2429?\nAnswer: -4147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 253484789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/7 + 116260*y\/7 - 1689548450\/7.\nAnswer: -2*(y - 29065)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70846.\nAnswer: 2, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 765134 + -2756434. Round d to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - s + 275 = -0*s, 263 = 4*i - 3*s. Calculate the greatest common divisor of 85 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0, 2.6 in descending order.\nAnswer: 2.6, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44744.4646 + -44740. What is l rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 - 5*l**2 + 5*l - 6. Determine v(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 11205 and 678915?\nAnswer: 56349945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -31*m. Let r(a) be the third derivative of a**6\/720 + 7*a**4\/6 + 11*a**2. Let o(n) be the second derivative of r(n). Give o(i(g)).\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (17 + -37)\/(5\/(-12)). Suppose -4*x - 13*q = -12*q - i, -5*q = 2*x - 6. Solve -u = 3*k + 9, 3*u + x + 4 = -4*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -6, -12, -22, -36, -54, -76, -102?\n\"Answer: -2*s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 c when four letters picked without replacement from cckcckccckccbk?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 11882 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60*i - 3402 + 2599 = -2363 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**5 - 2 + 2*k**5 - 3*k**3 + 0)*(-3 + 5 + 0).\nAnswer: 4*k**5 - 6*k**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + (sqrt(3) - sqrt(12)\/sqrt(36)) + -2.\nAnswer: -2 + 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**2 - 152*h**3 - 112*h**3 + 48*h - 15*h - 34*h + 2*h**4 to x*h**3 + r*h + o*h**2 + j*h**4 + y and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -8*o**3 - 807*o**2 + 98*o + 60. Calculate h(-101).\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 13376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(7\/3)\/(x**(1\/6)*x))\/(x**(-4)\/x**(2\/33)) assuming x is positive.\nAnswer: x**(115\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + 9*s**2 - 6*s. What is the smallest common multiple of 22 and q(8)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*z + 14*z - z)*(-2*z**2 - 2*z**2 + 3*z**2).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q\/(q\/q**(1\/4))))*(q*q*q*q**(-1\/6)*q)\/q)**(1\/4)*(q**(-2)*q*q**3\/q)**5 assuming q is positive.\nAnswer: q**(277\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let n be (10\/7)\/(645\/1806). Solve -x = -p, -n*p = -2*x + x - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1530585 divided by -1017\nAnswer: -1505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 843 is divided by 27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-2))\/((-2)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -6*a**2 - 127*a - 1. Calculate the remainder when 157 is divided by z(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*u)*(1 - 3 + 0)*(2 + 2 - 5)*(-476 - 4218 - 333).\nAnswer: -20108*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -53127531*3\nAnswer: -159382593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p = 2*n - 34, -132*n + 2 - 5 + 1 = -68*n - 66*n - 6*p for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + 27. Let p be 1\/t - (-42)\/9. Let b(k) = -k + 11. What is the least common multiple of b(p) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2118677274 is divided by 715?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*n + 16 = 0, 4*n + 0*n - 26 = -5*s. What is the second derivative of 8*u**2 + 8*u**s - 22*u**2 + 9*u + u**2 wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 634 divide 2144898323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + 5. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402668214 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39743398 is divided by 2838814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1089 is divided by 360.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -2*p**2 + 6*p + 9. Let t be x(4). Let c(g) = g**2 - 5*g + 2. Let m be c(2). Let v = m - t. Sort v, -1\/6, 7.\nAnswer: v, -1\/6, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 58, 80, 102?\n\"Answer: 22*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (44277\/10)\/((-6)\/(-5)). Let d = -3708 + s. What is the common denominator of 9\/((-54)\/(-30)) - 232\/(-12) and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 - (35 + -15 + 14) - (-11 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 30 - 18. Let y be (-11)\/4 - 3\/s. What is the third smallest value in y, 2, -6\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1903010 divided by -951505\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -41*l**2 + 7. Let c(d) = -d - 7. What is o(c(b))?\nAnswer: -41*b**2 - 574*b - 2002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 257 = 1282\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 8373 plus 37254389?\nAnswer: 37262762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -5522007264+0.025\nAnswer: -5522007263.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-24)\/(-45))\/(-4))\/(84\/(-1540)*22).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + 1 - (18 + -16). What is the nearest to 1 in 3, 8, -0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3310, 3294, 3270, 3238, 3198, 3150?\n\"Answer: -4*u**2 - 4*u + 3318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-48 + 78 - 108) + 6\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2256979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -5*k - 1. Let a(n) = -n**3 + n**2 + 1. Let o be a(k). Solve -o + 3 = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 138*u**3 - 70*u**3 - 58*u**3 - 4*u**2 + 3*u**2 to h*u**2 + y*u**3 + a*u + m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -11*i**4\/24 + 4*i**3\/3 - 29*i**2. What are the prime factors of x(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -4) + 3 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 + 8*o - 42. Let v be a(-8). Let w be 2\/(-7) - 600\/v. Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 741202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Put 22\/9, -7, 8\/67, -5 in descending order.\nAnswer: 22\/9, 8\/67, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/3138 and 2 + 4 - (-11)\/(4356\/(-2889))?\nAnswer: 69036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - 2. Let k = 7 + c. Suppose 5 = 2*h - r - 2, k*h - r = 12. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f + 33. Let z(q) = -31*q**2. Determine u(z(m)).\nAnswer: -31*m**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 9357 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1221 + 588 + 501)*(4*p - p - 2*p).\nAnswer: -132*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 times -0.1650291?\nAnswer: 5.2809312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 15846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 4*h + 31 = -17, 3*s - 4*h = -41. Let b(j) = -2*j. Calculate b(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 16 = -9*c. Let -32*g**c - 19*g**3 - 21*g**3 + 60*g**3 + 4*g**2 - 4*g**4 + 12*g = 0. Calculate g.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191529761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/105)\/(112\/2548).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3919 + 3923 - 7842 + 1184*u to a + j*u and give j.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(171)*-1)**2.\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 80 and 1040.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 722544830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -214029 + 307118. What is l rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = -4*b. Let k(i) = -i**3 + i**2 + i. Let m be k(2). Is (5 + (b - m))*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/19  (b) 0  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (-1 - (-3 - -1) - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -20814901 + -9?\nAnswer: -2081490a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 112\/18 + (-27)\/(-9)*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1\/2 - 11\/(-2). Let a be (-6)\/(-2)*(-8)\/i. Let q(l) = -l**3 - 2*l**2 + 2*l - 4. Let s be q(a). Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4*u - 3*u = -1883, -u - 944 = -o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*p + 3*p - 73, 5*l - 2*p = 358. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + 5 + -14 - -9\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-21645)\/(-117) - 197)*(0 - 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 4 + -13 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(((-2)\/(-3))\/(1\/(-3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9249936 to the nearest integer?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11633054 is divided by 2326606?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 j, 1 f, and 1 a when four letters picked without replacement from {z: 5, f: 3, j: 3, a: 1, o: 2, s: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 12:41 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + 1. Suppose 0 = z - o*z + y - 6, -y + 12 = -5*z. Is -3 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*z**3 - 25*z**3 - 3*z**5 + (3 + 2 - 3)*(-2 + 2 - 3*z**5) - 43 + 43 - 250*z**5 + 91*z**5.\nAnswer: -168*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18183401063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*r**2 + 12*r**2 - 27*r**2.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 13\/111376 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -39 minus 1762629?\nAnswer: -1762668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l - 134 = 83*j, 5*j + 10081 = 5*l + 9991 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 83537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 o when three letters picked without replacement from {o: 2, a: 7}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(176)*-1 - sqrt(11) - sqrt(11))*-5 - (-4*sqrt(66)*1)\/sqrt(6))*-3*6)**2*2 + 0.\nAnswer: 8239968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 9*q**2 + 2*q. Let b(l) = 529*l**2 + 138*l**2 + 121*l - 128*l**2. Let g be (2\/5 - 0)*14740\/2948. Give g*b(y) - 121*j(y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 436407809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 108061.6 from 5577481.\nAnswer: 5469419.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + x + 4*t + 37 = 0, -4*x - t = -148. Suppose -231 - x = -4*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*-15194\nAnswer: 30388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = 532 - 508. Which is the third biggest value?  (a) -2  (b) i  (c) 1  (d) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**3 - r**2 + 15*r + 10. Let g be a(-10). Suppose 2*x = g - 216. Suppose -4*u + x - 80 = 0. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/4, 0, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -15941*d. Let i(p) = -17*p**2. What is i(o(t))?\nAnswer: -4319963177*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -10  (b) 255576  (c) 0.2  (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10 + (6 - 11) + 0. Which is the second smallest value?  (a) -1\/11  (b) -1\/5  (c) o  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110109588 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 282 = -3*v + 267 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -959.91 - -960. Which is the nearest to -1\/2?  (a) 0.4  (b) 0.5  (c) l  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150050 is divided by 3126.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q**2 + 110*q + 486. Determine i(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -190352, -380705, -571058, -761411?\nAnswer: -951764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do -5\/11 and 297\/95 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*v = -14 - 0. Let q(l) = -17*l**3 + 2*l**2 - 1. What is q(v)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -73774 - -73715.217. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 6*o + 3. Let l be p(-6). Let v be l\/(-2)*(-16)\/3. Let d(h) = 16*h. Let r be d(1). Calculate the greatest common factor of v and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 203 and -80.\nAnswer: -16240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, -15, 5 in ascending order.\nAnswer: -15, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -106102.66 at most 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4 - 0.4. Which is smaller: 7 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-25)\/4 + 3 - (-12)\/3. Put 5, g, 1 in increasing order.\nAnswer: g, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -231121113 (base 4) to base 15\nAnswer: -3a163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0\/((28\/70)\/((-4)\/(-10)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 2)*3\/(-2) - 3. Solve 5*b + 25 - 45 = c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 5321637691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 3*d = 2*d, 0 = y - d - 8. Let c(i) be the third derivative of -1\/6*i**y + 0 - 1\/15*i**5 - 1\/3*i**3 + 2*i**2 + 0*i. Give c(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -210056*u**3 + 4*u**2 + 18*u - 6 wrt u?\nAnswer: -1260336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 2 s, and 1 o when four letters picked without replacement from fofssfss.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o\/o**10))\/o)\/o**6*o**(-10)\/o*o**(3\/5) assuming o is positive.\nAnswer: o**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (19\/(-57))\/((-2358)\/(-783) + -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6472.2 less than -176116?\nAnswer: -169643.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33.535 + 33.693. Is -17 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1141 = 4*t - 1149 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 4496?\nAnswer: 13488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2, 2\/11, 41, -15 in decreasing order.\nAnswer: 41, 2\/11, 0.1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 15 = -x. Suppose 4*g + 0*g = x. Suppose 104 = g*a + 41. Calculate the remainder when 39 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60 - (3\/12*0)\/(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 8 = 6*k, 3*g - 14 = 4*k. Let u be ((-6)\/(-2) - g) + 4. Which is smaller: 3 or u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 23975\/26 - 922. Is x at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*h + 8*h - 16 = 0, -i = 4*h - 4489. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2 + 10*k + 14. What is f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 17.8694 plus -243393?\nAnswer: -243375.1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 101 - 101. Suppose s = 3*g + 8*t - 12*t - 93, 2*t + 64 = 2*g. What is the remainder when 103 is divided by g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 8*w**2 + 7*w + 2. Let k be n(7). Let p = 494 + -492. What is the third derivative of t**k + t**3 - 10*t**2 - p*t**4 - t**3 wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -47*p + 34*p + 54*p - 5 to b + m*p and give m.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -242 + 251. List the prime factors of m\/(-15) - (-20148)\/30.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 263296?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.064 rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (18\/(-15))\/((-2)\/5). Differentiate -1 - m**y + 2*m + 0*m - 2*m with respect to m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 65 + -34. Suppose -689*k + 663*k = -3926. Calculate the remainder when k is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-5*2*sqrt(396) - (-4*(sqrt(11) + -1) - (sqrt(44)\/sqrt(4) + -1)))**2 + 3.\nAnswer: 550*sqrt(11) + 33299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 70294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 - 6. Suppose -g = -h*g. Suppose g*f + 2\/7*f**3 + 0 + 2\/7*f**2 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -5*g - 61. Suppose -16*f + 17*f + 19 = 0. Let w be z(f). Let v = 112 - w. What is the greatest common divisor of v and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10 + 3*4\/(-12). Let j be 2 + (5 - 1) - 1. Suppose 9*k - 31*k = 2*k - 72. Solve 2*l - k*q - n = 16, 2*l = -j*q - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15444\/(-3003))\/(91047\/1540) + (-33)\/(-31) + -1.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3\/8 - -3\/8. Let u = 4406 + -4407. Let r = 46 + -32. Which is the second smallest value?  (a) v  (b) u  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express k + 0*k - 4*k + (-k + k - k)*(-12 - 2 + 7) as h*k + a and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a week in seconds?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-3)*(3 - 363\/110). Put c, 6\/11, 0.4 in decreasing order.\nAnswer: 6\/11, 0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66, -104, -146, -198, -266?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2987807.022 + 2990712. Let w = -2902 + d. Let g = 3 - w. What is g rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 r when four letters picked without replacement from {m: 2, r: 3, v: 1, d: 3, h: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3707287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out 91253891 + 3.39521.\nAnswer: 91253894.39521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29469.\nAnswer: 3, 11, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3246)\/(18\/(-4) + (-4 - -8)). Suppose -27*t - 1038 = -r. Calculate the remainder when t is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 99 = 5*d, o - 1 - 2 = 0. Suppose 6556*j - 6681*j = -6750. Calculate the least common multiple of d and j.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 75, 137, 187, 219, 227, 205, 147, 47?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -268 - -273. Suppose 4*a + 20 = 4*o, -7*o = -3*o - a - z. Solve o = -2*q + 5*q, -5*m = -5*q + 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5713723 + 6?\nAnswer: -5713716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((180\/486)\/((-10)\/(-12)))\/(26\/(-1521))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 6*x + 5. Let v = 4 - -16. Calculate the remainder when w(6) is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y - 3. Let w be i(-6). What is the third derivative of -11*f**5 + w*f**2 + 16*f**5 - 11*f**5 wrt f?\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 71*a**2 - 81*a**2 - 42*a + 122*a**2 + 3 - 81*a**2 to f*a**2 + j + m*a and give m.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -14*x - 5. Let p(u) = 7*u + 2. Let k be 1\/1*(-9 + 11). Determine k*g(s) + 5*p(s).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -251*h - 255*h + 490*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 163621709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 - 3*m**2 + 3*m - 1. Let z be w(2). Let u(q) = 4 + 0 + 1 - z - q. Let o be u(3). Which is the second biggest value?  (a) -1\/6  (b) -2\/13  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*f**2 - 13*f**2 - 36*f**2 + 26*f**2 - 383*f**3.\nAnswer: -383*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -11*g + 3. Let y be b(-4). Suppose 77 = 2*s - 3*i, -y = -3*s + s - 3*i. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03376736, 3, 0.1, -1 in descending order.\nAnswer: 3, 0.1, 0.03376736, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*i + 2*i. Suppose -i*h = -9*h + 28. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.074 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 421658970*k**2 + 9*k**3 - 421658970*k**2.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:03 AM and 2:31 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from zisitiizzqzzx.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 470?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -2560 (base 15) to base 5\nAnswer: -223330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1272.786 + -0.27.\nAnswer: -1273.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -846.2 rounded to the nearest 10?\nAnswer: -850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 1. Let u(y) = -3 - 2 + 9*y**2 - 2 - 5*y - y**3 - 2*y. Let p be u(8). Let r(g) = 2*g + 9. Let w(b) = p*r(b) - 5*d(b). Calculate w(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 e when two letters picked without replacement from {e: 1, r: 1, z: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3272373nm in meters?\nAnswer: 0.0000000003272373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 7:54 PM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -113, -217, -321, -425, -529?\n\"Answer: -104*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.89435 rounded to 0 decimal places?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (152\/(-20))\/(1\/(-5)). Let m = n + -23. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14284?\nAnswer: 2, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 209 = -311. Let b = -258 - c. Let h = 2 - -3. Is b < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*((-2384)\/(-16))\/(-1). Put 1.6, t, -5, 2\/9 in decreasing order.\nAnswer: 1.6, 2\/9, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -855381, -1710404, -2565429, -3420456, -4275485, -5130516, -5985549?\nAnswer: -6840584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (70 - 9 - 8)*(0*h + 0*h + h + (-3 + 1 + 1)*(0*h + 2*h - h) + 3*h - 4*h - h + 3*h + 3 - 3) as x + u*h and give u.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 467827 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19891, -19840, -19789, -19738?\nAnswer: -19687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ookkmkakokkok?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r - 51 + 1002 - 14*r + r - 11*r.\nAnswer: -19*r + 951","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -383608\/7  (b) 0.5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 82.4 + -82.5. Let l be (-101)\/(-10) + 20\/50. What is the third biggest value in -0.4, b, 1, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3616, -3611, -3606, -3601, -3596?\n\"Answer: 5*m - 3621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -758 + 1407*d**3 - 759 - 2*d**2 + 15094*d**3 + 1517.\nAnswer: 16501*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (3*(-180)\/(-126))\/(5\/14)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from xffxxxxxxxxxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zm when two letters picked without replacement from zzmzzzzmzzzmmz?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 2101 divide 79470325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3 + 0.4. Let l = 0.4 - 8.8. Let p = 8.4 + l. What is the smallest value in p, t, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11916\/37 + -322. Is r < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10914 is divided by 667?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*f - 21*f - 10*f.\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h and 1 j when four letters picked without replacement from jhohzhjhdzhh?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -92 + 97. Suppose -26 + 9 = 2*w - v*k, 5*w + 5*k - 45 = 0. Solve -3*n = z - 8, -4*n - n + 3*z = -w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 125 - 118.1. Let h = 7 - g. What is the nearest to -1 in h, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1427321708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1148992.\nAnswer: 2, 13, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4008.9 + -4009. What is the nearest to -0.1 in 4, k, -0.5, -20?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 2\/5  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 5, r: 7, s: 1}. Give prob of picking 2 c and 1 r.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -5224*d**3 - 19*d**2 - 13*d + 8. Let v = -59 - -52. Let g be u(v). What is g rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56 + 71 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -508 at most as big as -88114\/173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 19 - 32 = 0. Suppose 0 = -3*w + 2*u - 21, 5*u + 21 = 3*w - 6*w. Let y = 24 + w. Is y greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50899063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2100111102 (base 3) to base 2.\nAnswer: -1011010011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5\/12  (b) -2  (c) -55  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -6  (b) 916  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 48 - 52. Let i be (280\/(-6))\/(-10)*(-54)\/j. Let y = i - 46. Calculate the greatest common divisor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*w - 55*w**2 + 60*w**2 - 26*w - 19*w as i + h*w**2 + t*w and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11\/16 + 11\/80. Let t = 4\/5 + q. Let r be (-14 - (-35)\/2) + 4*-1. Which is the second smallest value?  (a) 2\/7  (b) r  (c) -5  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 8:44 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/59*(-24)\/(-4608)*-32*-2.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*6*((sqrt(104)*-1 - sqrt(104)) + sqrt(104))*-2)\/((sqrt(512) - (sqrt(512) - (sqrt(512) + -1*1*sqrt(512)) - sqrt(512))) + 3*sqrt(512)*-2).\nAnswer: 9*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 5*s. Let v(q) = q**3 - 21*q**2 + 70*q - 37. Let w be v(17). Let l(i) = -56*i. Calculate w*l(b) - 32*r(b).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 10) in base 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-3))\/((-2)\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 37481704.\nAnswer: 2, 13, 73, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 49285981 to the nearest integer?\nAnswer: 7020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 687529 is divided by 2491?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 12, 0, -3, -5285 in decreasing order.\nAnswer: 12, 4, 0, -3, -5285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 8 + 3*i)*(0 + 0 - 1)*(-3*i**2 + i**2 + 4*i**2).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -38 divided by 1091\nAnswer: -38\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37965103 to the nearest integer?\nAnswer: 6162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5112 + -5114. What is the closest to -9\/7 in 2, -2\/5, 0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -821  (b) 2\/9  (c) -2\/13  (d) 0.3  (e) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 4*p - i - 83, -3*i = -5*p + 151. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/24 - 159\/(-4). Is (48\/u)\/((-6)\/(-20)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a**3 - 1074*a**2 + 1077*a = 0. What is a?\nAnswer: -359, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 - 16*k**2 - 86*k - 109. Let r be w(-7). Calculate the greatest common divisor of 546 and r.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 322 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 1288 divided by -106240\nAnswer: -161\/13280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 - -3. Suppose -5*s - 11 = -n*f, 0 = 4*s - 0*s + 4. Suppose 0 = -2*z - 5*l + 27, 4*z - l = f*z + 3. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (31 - 32)*(-20 + 0 + -1). Suppose 0*n - 4*n - 36 = -4*q, -5*n = -q + w. Let b(x) = -x**2 + 3*x + 6. Calculate b(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7)\/(-35))\/1 - (-11)\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/647815  (b) -1  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2289 divide 1429622418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 - 390480380*r + 7623746358247220.\nAnswer: 5*(r - 39048038)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 11*c - 16*c. Which is smaller: 3\/32 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 322888517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -2*o**3 + 2. Let i(x) = -x + 1. Calculate i(j) + v(j).\nAnswer: -2*j**3 - j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24842.\nAnswer: 2, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -69, -144, -215, -282, -345, -404, -459?\n\"Answer: 2*n**2 - 81*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 246565 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 3*r - 1. Let t be u(7). Suppose 2*d - t = -0*d. Calculate the greatest common factor of d and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 10*m**2 + 10*m + 8. Calculate f(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 11 + -15 - (5 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 9692, 19386, 29080, 38774?\n\"Answer: 9694*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (64\/10)\/4 - 2. Let z = -0.0584 + 5.0584. What is the third biggest value in -1, y, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15442.999993217 - 15443. Round t to seven dps.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -f**3\/8 + 5*f**2\/2 - 53*f\/8 + 17\/4 = 0.\nAnswer: 1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(176)*-3)**2*-3*4*-1*6.\nAnswer: 114045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-39)\/2145 - 1\/(-11)*-2. Sort 5, -3\/4, o in ascending order.\nAnswer: -3\/4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -31  (b) 0.06  (c) -5  (d) -2  (e) 43642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.1746 - -160.7254. 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: What is prob of picking 1 h and 1 w when two letters picked without replacement from atwdhrrt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g - 8. Let l = 44 + -3. Suppose -5*z = 5*p + 20, 4*z + 2*p - 3*p + l = 0. Let x(b) = 7*b + 17. What is z*o(w) - 4*x(w)?\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -13936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 11 - 223?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -16*a + 2*a - 51 - 13*a. Let m = 1358 + -1364. What are the prime factors of f(m)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, v: 4, m: 1, f: 6}. What is prob of picking 2 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**3 + 158 + 2*s**3 - 158.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 10877.38 centuries?\nAnswer: 1087738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 179540500 to the power of 1\/2, to the nearest integer?\nAnswer: 13399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 106*t + 5. Let c(v) = 6731*v + 318. Let h(j) = 5*c(j) - 318*p(j). Let d(o) = -2*o**2. What is d(h(w))?\nAnswer: -5618*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -11436  (b) -0.3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**3 - s**3 + 6*s**3)*(-3*s**2 + 36*s**2 - 9*s**2) + (-2*s**4 + 2*s**4 - s**4)*(8 + 2 - 4)*(-2*s - 2*s + s).\nAnswer: 138*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -27 + (17 - -13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 3, -3, 24 in descending order.\nAnswer: 24, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**5\/9 + 20*q**4\/3 + 34*q**3 + 440*q**2\/9 + 64*q\/3 = 0. What is q?\nAnswer: -24, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1640087 is divided by 30945.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 285473 by 32.\nAnswer: 285473\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98 + -38. Let d = w - -202. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6874 + -6873.9300127. Let w = -111.07 - -111. Let o = j + w. What is o rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/7)*(y\/(y*y*(((y\/y**(-1))\/y)\/y)\/y))\/y)\/(y**4\/(y*y**10)) assuming y is positive.\nAnswer: y**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*k - 6. Let o be k\/(10\/18) + -4. Solve -o*m + 6 = 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5403254573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*g**2 - g**2 + 2*g**2)*(16*g - 16*g - 3*g**2) + (-6*g + 6*g - 4*g**2)*(4*g - 4*g - 3*g**2) in the form n + q*g**2 + d*g**3 + t*g + m*g**4 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away 0.87594833060105?\nAnswer: -3.87594833060105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35)\/sqrt(180))**2 + -4 + (sqrt(63)\/(-2*sqrt(729) + sqrt(729) - sqrt(729)))**2 + 4)*5.\nAnswer: 175\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2239 = -381*p - 1228 - 724. Let i = -34 - -24. Which is bigger: p or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 703 - 408. List the prime factors of q.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 7*w**2 - 2*w - 10. Let x be b(-7). Let o(s) = 5*s - x*s + 0*s. Let u(m) = 48 - 3*m**2 - 48. What is u(o(q))?\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 999349.\nAnswer: 13, 76873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 3*l + 135 = 0, -j + l = 4*j - 195. Suppose 47 = f + 3*u, -9*u = -f - 314 + 193. Solve f = 7*r + j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 416 and 5252?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(605) + -1 + sqrt(605) + -2*sqrt(605) + sqrt(605))*3 - (sqrt(605) + 2 + 1*sqrt(605) + sqrt(605) + sqrt(605) + sqrt(605)*-1 + 4)))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/11*r**2 - 1\/11*r**3 - 4\/11 + 7\/11*r = 0 for r.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 5853656 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 6*h**2 - 1. Let i(b) = -4*b + 636777. Give i(l(q)).\nAnswer: -24*q**2 + 636781","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 455 divide 264996095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1723109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, i: 3, m: 2, l: 2, j: 1, h: 4}. Give prob of picking 1 j, 1 i, and 1 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**3 - 5*l**2 - 4*l - 3. Let a = -6 + 31. Suppose b - a = -0*b. Let q be (20\/b)\/((-3)\/15). Calculate i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 32 = 7*i. Let x be -2 + 1\/(4\/i). Let v be (0\/(-1))\/(-3 - -2). Solve 0 = x*o - v*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 a factor of 5021488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = -4*w - c, 2*c = 5*w + c + 51. Let v(h) = -1. Suppose -7 + 3 = 4*m. Let d(s) = 2*s + 10. Determine m*d(z) + w*v(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76809*l - 234 = 76815*l, -5*l = s + 199 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -620*o + 19892 = -11108 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**3 + 2322582*p**2 - 674299554630*p + 674297232050.\nAnswer: -2*(p - 580645)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -351*j - 509*j - 413*j to k*j + b and give k.\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -88 - 3306?\nAnswer: -3393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 830 + -832. Let b = 1.51 - 26.31. Let c = b - -28. Put c, s, -3 in ascending order.\nAnswer: -3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (110*n + 6937 - 6937)*(-4 + 4 + 1) - 6*n + 8*n + 10*n + (-n + 0*n + 0*n)*(-3 + 2 - 1) + 0*n + 0*n + n.\nAnswer: 125*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -75 - -76. Which is the biggest value?  (a) 0.4  (b) r  (c) -5.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 3*n - 3*j, -2611*n + 2*j = -2614*n - 45 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -4*a**2\/9 - 368*a\/3 + 1108\/9 = 0.\nAnswer: -277, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 3 - 3 = -y, -3*y + 12 = -r. Suppose -12 = -y*d + 2*s - 2, -25 = -2*d + 5*s. Let u = 555\/23 - 24. Is d greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 6*a**2 + 5*a - 4*a**2 - 3*a**2 + 7. Let i = -8 + 14. Let h be o(i). Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1059902 or -22?\nAnswer: -1059902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 39209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - h - 32 = -0*p - 4*p + h, -h = -314*p + 1573 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g + 1. Let p be j(0). What is the units digit of (-1 + 3)*p + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -6*i**2. Let d = 841 - 834. Let k(o) = d*o + 1 - 1 - 11*o - 18*o. Give s(k(j)).\nAnswer: -2904*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 36*r + 460 = 10*r for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of (12 + -10)\/(((-5)\/12)\/(-5)) and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 241 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8443, -16655, -24397, -31435, -37535, -42463?\nAnswer: -45985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1042801755 is divided by 1105.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -86 + 88. Solve -w*o + 3*o + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + u + 45 + 20 = 0, 0 = 3*y + 2*u - 180. Suppose -56*v + y*v - 12 = 0. Solve 5 = b, 2*b - 15 = -v*r + 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 261123 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (2*sqrt(468) - sqrt(468))*6 + 2 + sqrt(468) + 0 + sqrt(468) + -1 + sqrt(468) + 3)**2.\nAnswer: -108*sqrt(13) + 37909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 3:59 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25776292 divided by -82.\nAnswer: -12888146\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*285364.\nAnswer: -2282912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/6*-2 + 1. Suppose -2*y + 5 = 5*b - 8, 4*y - 16 = v. Is (-6)\/b*(-6)\/4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6\/97 in -2\/121, 0.2, -0.5?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 a factor of 51865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -5 + 17*f + 5 - 16*f - 4. Let q be h(16). Let r be (7 - 1) + (-7 - -11). Which is bigger: r or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the third derivative of -o**5\/60 - 17*o**4\/24 + 7*o**3\/3 + 2*o**2 + 199. What is a(-11)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 955.\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of -q**5\/10 + 145*q**3\/6 - 59*q**2 - 199*q. What is the first derivative of w(h) wrt h?\nAnswer: -6*h**2 + 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the third derivative of r**8\/840 - 2*r**7\/315 + r**6\/72 - r**5\/60 - 3*r**4\/8 - 15*r**2. Let b(i) be the second derivative of f(i). Solve b(v) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-108) + 2 + 1270\/60\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-1)\/y*y)\/y)**14*((y**(2\/13)\/y)\/y*y)\/(y\/y**(-2\/33)))\/((y**(-7)\/(y\/y**(-3)))\/(y**(-1\/3)*y*y**(-5\/3))) assuming y is positive.\nAnswer: y**(-2534\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**7*o**36)\/(o**(-3\/22))**(-13) assuming o is positive.\nAnswer: o**(621\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s - 9*s - 3*s + 5*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zjyiszr. Give prob of picking 1 i, 1 y, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*l - 5*l + 3*l as k + f*l and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4 + 11349951279.\nAnswer: 11349951279.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -236*(25 + 8910\/(-360)).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 17*k + 31. Let h(g) = 52*g + 109. Let l(q) = -2*h(q) + 7*w(q). Let i(r) = -1. Calculate 3*i(m) - l(m).\nAnswer: -15*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**3 + 5*j**2 - 2*j - 1. Let y be o(5). Let m(k) = -9 + 2*k**2 + 17*k + 2 + 15. Let u be m(y). Calculate the highest common factor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2016055816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40078*f + 160275*f - 40070*f - 40072*f - 40068*f.\nAnswer: -13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, s: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/5*4*10\/(-20).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {e: 1, n: 1, x: 1, c: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the third derivative of 2*f**7\/7 + f**6\/120 + 47*f**5\/60 + 178*f**2. Find the third derivative of h(i) wrt i.\nAnswer: 1440*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lrllvllvlvrrvvvlvv. What is prob of picking 1 l and 1 v?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -19386, -23162, -26938, -30714, -34490, -38266?\n\"Answer: -3776*n - 15610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 54 = 5*a + 9, -7 = -3*q + a. Suppose 5*m = -n + 18, -n = 5*m - q*n - 26. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8853771 (base 9) to base 13.\nAnswer: ca84c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 divided by -3639.\nAnswer: -28\/3639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 5988, 0, -6.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 37*c + 3. Let k be s(5). Suppose 0*a - a = 0. Suppose a = -g - g + k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (22 - 33) - (1 - 0) - 5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 33516046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssfsfsfsfsffsffsfss. Give prob of picking 2 s and 2 f.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64166471 (base 8) to base 5.\nAnswer: 12001122332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**2 - 6*a + 12. Let l be h(3). Solve -1\/5*t + 2\/5*t**l + 0 + 1\/5*t**2 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31258803.\nAnswer: 3, 10419601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*u**3 - 104350*u**2 - 543296460*u + 12003080760 = 0. Calculate u.\nAnswer: -10446, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.214 + 4.354. Let s = m + -4.14367. What is s rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (226*s - 7 + 229*s - 441*s)*(4*s**3 - 5*s**3 + 4*s**3) to l*s**4 + f + i*s + b*s**3 + r*s**2 and give l.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 635 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -45  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 468\/27 + (-4)\/(-6). Suppose -r = -0*r - b. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*o**2 + 2*o**2 + o**2)*(-4*o + 5*o - 3*o) + 51*o**3 + 2*o**3 + 45*o**3 as z*o**3 + q + y*o**2 + n*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 857 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 + w**2 - 5*w + 13. Let a be z(2). Suppose 3459 = a*y - 13101. List the prime factors of y.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d - 5. Let x(w) = w + 5. Calculate 3*h(n) + 4*x(n).\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1132 - 0?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 40?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**3 + 23*p**2 - 326*p - 7270. What is r(-24)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16017*o + 638083 = -579209 for o.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 - -1*(-12)\/(-3). Suppose 5*o + 23 = 5*w + 68, -i*o + 22 = -4*w. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.06, -1.3, -4?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - -1. Let j = -816 - -5715\/7. Suppose -s - s = 3*b + 3, 2*b + 2 = 5*s. What is the second smallest value in j, s, m, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jfnjstftjtst. What is prob of sequence sfs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 4, -1588 in descending order.\nAnswer: 4, 3, -4, -1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2313797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**3)**(-10\/11))**(5\/16)\/((a**(-3\/4))**(-25))**(-34) assuming a is positive.\nAnswer: a**(56025\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 25 and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.036109 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 93960 and 34298532.\nAnswer: 1028955960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i + i + i - 5*i + 3*i + i + (-1 + 1 + 2*i)*(-3 + 0 + 1) + 7*i + 6*i + 41*i.\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**2\/11 - 611100*p\/11 - 2444432\/11 = 0. Calculate p.\nAnswer: -4, 305554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 195491 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 359 + 9?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 254*a + 1215 = 269*a. Suppose -y - 4 = -x, -2*y = 2*x - 0*x. Is (25\/(-15) + x)*a a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(539) + 2.\nAnswer: -14*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4203632 divided by 262727\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2344 + 10?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (72 + 38 - 12 + (-2 - 2 - 2)*(3 + 1 - 2))*(-2 - 2 + 2)*(3 + 3*p**2 - 3).\nAnswer: -516*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qphqxhqyhqhqq. Give prob of picking 1 x, 2 q, and 1 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2997 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o + 277 = 949. Calculate the greatest common factor of 40 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i = -2*b - 5*i - 531, -4*i = 2*b + 536. Let w = b - -283. Let q(y) = y - 12. What is q(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z - 69 = -24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67103.\nAnswer: 67103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the first derivative of 1\/4*v**4 - 31 + 3\/2*v**2 + 34\/3*v**3 - v. What is the second derivative of t(k) wrt k?\nAnswer: 6*k + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a0ad (base 14) to base 3.\nAnswer: 1101211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 203 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 63\/4*f**4 + 12*f - 31\/20*f**5 + 289*f**2 + 5 + 799\/6*f**3 + 1\/30*f**6. Factor s(m).\nAnswer: (m - 17)**2*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 20*k**2 - 36*k - 60. What is j(18)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -71 - -81. Suppose -2*p = 2*p - 16. Suppose -g*u**2 + 0*u**2 + p*u**2 + 4*u + 2*u**2 - u**5 + 4*u**4 - 3*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3070000 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3 + (-305)\/(-3) - 95\/57. Let l = f + -98. Solve -a + 4*w = 17, l*a = 6*a + 5*w - 28 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71013202 is divided by 15331?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7323084 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**2\/9 - 868*n\/9 - 94178\/9 = 0.\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 2, q + 2 = h + 50. Let i be -10*(21\/(-2) + 2). Let t = i - q. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 137088 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.3, 0.5, -1\/11516?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 26*n + 9 + 5.\nAnswer: -26*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 1.38973g?\nAnswer: 1389730000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - t - 31, 2*t + 22 = 2*v + 4*t. Let k(f) = -23*f + 3. What is the remainder when k(-1) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.12 - -1.12. Let h = -19\/2 - -41\/4. What is the second biggest value in i, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 11*z - 7 + 0*z - 3*z + z + 0*z - z - 2 + 2 + (0*z + z - 3*z)*(-2 + 0 + 3) - 19*z - 131 + 131 in the form q + b*z and give b.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 365*g**4 - 5*g**3 - 5*g + 828. Let r(n) = 360*n**4 - 4*n**3 - 4*n + 826. Let t(i) = 5*r(i) - 4*w(i). What is the first derivative of t(k) wrt k?\nAnswer: 1360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/24 and -83\/312?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*(-4)\/(-3))\/((-98)\/(-294))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.042 times -2.9?\nAnswer: -0.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -6*n**2 - 17*n. Let z(f) = -f. Let b(w) = k(w) - 4*z(w). Find the second derivative of b(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h, 1 f, and 1 s when four letters picked without replacement from hihhhinsafhhhs?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(153)*2 + (-3*(sqrt(1088) + 1) - sqrt(1088)))**2.\nAnswer: 416*sqrt(17) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 130 - 127. Let u be (p\/(-9))\/(4\/(-156)). Solve -4*j + u = 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m**2 + 35*m + 174. Calculate the remainder when 495 is divided by n(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*z, -2*d - 22*z + 21*z + 289 = 0. Calculate the highest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4*(14 - 395\/28)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, x: 2, z: 2, c: 1, m: 2, j: 4}. What is prob of sequence zjm?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m + m + 8*m**3 - 2*m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 7. Suppose 10*g = 6*g. Suppose g*b + 8*b = 56. Suppose -b*o = -11*o. Calculate u(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 4*m = -6, 6*x - 15 = -4*m + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/17)\/(q*q**(-2\/13)*q))\/((q*q**(-10\/9))\/q)**(-2\/27))**5 assuming q is positive.\nAnswer: q**(-549410\/53703)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 8, o: 3}. What is prob of picking 1 g and 1 o?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 5 + -1 + 67 + -78 + 39.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2896217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -431, -3013, -7317, -13343?\n\"Answer: -861*x**2 + x + 429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(3\/8)\/(n\/n**3))**(-2\/21)\/(((n\/(n*n*n\/(n**(-3)\/n)*n))\/((n**6*n)\/n))\/(n**2*n**(1\/13))) assuming n is positive.\nAnswer: n**(16217\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 5*h - 3*h - 7, 5*h + 30 = 2*g. Calculate the greatest common factor of 55 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 340\/(-30)*(1 + -4). Let t = x - 34. Solve q + 2 + 2 = t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l\/(l\/(l**(-2\/5)\/l))*l))**18)**(41\/3)*l**(-2\/3)\/(((l**(-2)\/l)\/l)\/l)*(l*((l*l**(-2\/7)\/l*l*l)\/l)\/l)**(2\/51) assuming l is positive.\nAnswer: l**(207513\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0.1, -160, -2 in decreasing order.\nAnswer: 6, 0.1, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**3*v*v)\/(v**4*v))**(-5)*(v**0*v)\/v**(-6)*(v*v\/(v**(-1)*v)*v)**(-35) assuming v is positive.\nAnswer: v**(-103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 3*s. Let d(z) = -9*z. Let a(v) = -5464*v. Let i(p) = -a(p) - 10*d(p). Calculate u(i(y)).\nAnswer: 16662*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 - d**2 + d + 1. What is the smallest common multiple of 2 and t(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u + 5*c + 20, 79*c = -3*u + 84*c - 44. Let z(l) = -l**3 - 14*l**2 - 50*l - 20. Determine z(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5174 and -0.1503?\nAnswer: 5174.1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 40 - 70. Let f = a + 48. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = a, -t - 10*a - 12 = -6*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/9*(-3)\/3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 3*t + 13 + 1 = 0, -3*k = 5*t - 2. Is (4 - -4385)\/1 - k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is (3\/2 + -1)\/((-3)\/(-40542)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 82 and -10429.\nAnswer: -855178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, -55, 1, -9, 92402?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f + 7. Suppose 0 = 2*p + 2*p + 20. Let d be i(p). Is 12 a factor of d*3\/15*30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of -b**2\/2 + b + 3. Let k be t(-7). What is the highest common divisor of k and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70) + 2*(sqrt(70)*1 - sqrt(70) - sqrt(70)) + sqrt(70))\/(-3*sqrt(90)) - (-1*sqrt(378))\/(sqrt(54)\/sqrt(144)))*-5 + -5.\nAnswer: -60*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 1232377, 2, -1, 4 in decreasing order.\nAnswer: 1232377, 26, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 169895719 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 12:21 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 894 + -894.058. Let x = -15.83115 - 0.11085. Let u = b + x. Sort 0, -2\/17, u in descending order.\nAnswer: 0, -2\/17, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*v - 3*s - 1333, v + s = -2*v - 996. Let t = v - -816. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21752 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -0.2  (b) 4  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from usuiuiumt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -789?  (a) 2  (b) 2\/5  (c) -3  (d) 43  (e) 2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and 468241.\nAnswer: 936482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*h - 4*h + 3*h + 0*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228)\/(sqrt(60)\/sqrt(5)))**2 - sqrt(19)) + 0 + (-2 + -5*sqrt(2299))**2.\nAnswer: 219*sqrt(19) + 57498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from upppuuppppppuuupppu?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-6)*(-177)\/(-59)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*f - 25820 = 0, 6454 = -x - 2*f + f. Let l be (-66)\/176 - (12585\/x)\/5. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-31)*o*o**(-30) assuming o is positive.\nAnswer: o**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 2 = 3*l. Let r = 16 + -9. Calculate the remainder when r is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -6*n**3 - 5*n**2 - 25*n + 20. Does 55 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1482, -2984, -4488, -5994, -7502, -9012?\nAnswer: -10524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**2 - b. Let z be p(-1). Let d = -52 - -51. Let g = 2 + -1. What is the closest to d in -1\/4, g, z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2111 bigger than -4417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 1:41 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 13*r**2 + 15*r - 10. Let n = 12 + 2. Let m be w(n). Suppose -5*s = 4*y - 253, -4*s - 146 = -6*y + m*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 5*x + 140 = 0, -17*x + 20*x + 12 = 0. Suppose -5*w + 15 + c = 0. Calculate the lowest common multiple of w and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.289 - 0.011. Let k = -0.1 - -0.3. Let i = 1.9 + -2. What is the closest to i in k, m, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyppppppppypp. Give prob of picking 2 y and 1 p.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 1 + (-74 + 75 - (4 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 49703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6522187 (base 9) to base 4\nAnswer: 31112022013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 4*i**2 - 15*i. Let w(c) = -c**2 + c. Give -3*w(q) - z(q).\nAnswer: -q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 69387543 a multiple of 1489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (-195)\/(-78) + (-12258)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -100476 (base 8) to base 5\nAnswer: -2024321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*t - 1045. Calculate the highest common divisor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -20 - 115. Solve -b - 3*w**4 + w**5 + 135 + 5*w**2 - 2*w**2 + w**3 - 2*w = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -15\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139*m**3 + 2 - 4 - 15*m**2 + 15*m**2 + 160*m**3.\nAnswer: 299*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*x + 401*w - 400*w - 19, -17*w - 17 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-six fifths of a hour in seconds?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13053 + -13052.97. Put 1, 0.3, -0.7, -3\/8, i in descending order.\nAnswer: 1, 0.3, i, -3\/8, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1 + (-1 - 3) - -3. Suppose -3*n + s*n = -378. Calculate the remainder when 4 is divided by 406\/n + 2\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*o**2 - 7*o**2 + 7*o + 51*o**2 - 9*o**2 - 12*o**2 to the form l + a*o**2 + w*o and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is l in -l**4\/4 - 5*l**3\/2 + l**2\/4 + 5*l\/2 = 0?\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 6, p: 1, k: 4, r: 2}. Give prob of picking 1 k and 1 r.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*0\/(3\/(-1)). Suppose 0 = v - t*o - 2*o + 22, -v = -3*o + 18. Calculate the remainder when 27 is divided by (16\/(-12))\/(4\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5113 to two decimal places.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 603656916?\nAnswer: 2, 3, 50304743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 50 = -7*p, 15*a = -8*p - 13*a + 26*a + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 1, 2\/17, -175, -1.8, -0.3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g. Let h(n) = 2*n - 1. Let w be h(2). Let y(j) = -2*j + 2*j - w*j. Determine y(t(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 399*p**3 - 259*p**3 + 223*p**3 + 374*p**3 - 80*p**3.\nAnswer: 657*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 639*b + 651*b - 746 = 0, -z + b = 152. Which is greater: z or -178?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -74820.\nAnswer: -74820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 15 = 0, -5*c + a + 425 = 5*a. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 244798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 66 and 2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*w - 105 + 14. Suppose -11*v = -w*v - 20. Find the second derivative of 17*m**5 + m**v - 39*m + 0*m**5 wrt m.\nAnswer: 360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 52\/6 - 2\/(-6). Suppose -3*f + 4*i + 28 = 2, 0 = -2*f + i + w. What is the remainder when 1 is divided by (21\/(-12) + f)*4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/(-2*(-1)\/(-108)*2). Let y = d - 569\/7. Let g = -0.6 + 1. Which is the closest to g?  (a) 1\/6  (b) 0.2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54741 is divided by 9102?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.9 - -1. Let g = 21 - 20. Let k be 5\/4 - (1 + g). Which is the smallest value?  (a) -0.1  (b) k  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 5986*p. Let x(c) = c**2. Calculate z(x(f)).\nAnswer: 5986*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 12:51 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 5*b + 30, -110*b - 12 = 5*k - 108*b. Which is bigger: k or -22\/225?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0315531 plus 43906641?\nAnswer: 43906641.0315531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from evfvuvtbbff. What is prob of sequence tb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 4*j - 13. Let o be u(7). Suppose -2*d = -6*d + 3*h + o, -2*h = -4*d + 14. Suppose 11 = -d*k + 80. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3946480*x - 12*x**2 + 3946480*x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*a**3 - 907*a + 456*a + 9*a**3 + 451*a.\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -2 + -26 + (15 - 31)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, -6\/7, -4\/5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*m + 47*m + 4*c + 24 = 0, 4*m - 25 = 3*c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 + 30. Suppose 5*p + 5*g - 40 = 0, -s*g = 4*p - 8 - 16. Solve 16 = p*h, -9 = -3*i + 5*h - 32 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 153*g**2 + 17*g - 41. List the prime factors of c(3).\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -22508 - -22504. Put h, -2, -2\/11, -41 in descending order.\nAnswer: -2\/11, -2, h, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-7\/2)*l**(1\/20)*((l*(l**(-3\/13)\/l)\/l*l)\/l)\/l*l*l*l**(-3\/16)\/l)**3 assuming l is positive.\nAnswer: l**(-12069\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/1895 - 1879\/15160. What is the common denominator of 31\/8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -y**7\/8820 - y**6\/840 - y**5\/210 - y**4\/6 + y**2. Let t(i) be the second derivative of q(i). Factor t(o).\nAnswer: -2*(o + 1)*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0416455017 rounded to 5 decimal places?\nAnswer: 0.04165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/3 + 224*k\/3.\nAnswer: -2*k*(k - 112)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*z - 2*z. Suppose 2*j - 4 = -u + z*j, 5*u + 3*j = -32. What is the units digit of (-1844)\/(-36) - u\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 20*s**2 - 106*s + 24. Let t(r) = 11*r**2 - 53*r + 13. Give -11*t(z) + 6*u(z).\nAnswer: -z**2 - 53*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i + 131 = 4*y, 2*y - 6*y + 5*i - 5*i = -2*i - 122 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559732 is divided by 488?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -879 - -853. Let n = 26.5 + j. Which is the biggest value?  (a) -20  (b) n  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 14499*d**2\/2 + 24*d - 6. Let o be i(24). What is o rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/4  (b) -186  (c) 3\/2  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -363*w**2. Let k(i) = -21*i**2. What is k(q(o))?\nAnswer: -2767149*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -7*x**3 - 23*x**2 + 11*x - 110. Let s(o) = -4*o**3 - 14*o**2 + 6*o - 55. Determine -5*s(f) + 3*z(f).\nAnswer: -f**3 + f**2 + 3*f - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*(r**(-6)\/r)\/r*r\/((r\/r**(-2\/9))\/r))**(1\/17)\/(r**7*r*r**0*r*(r**(-7)*r)\/r*r\/(r**(-7)\/r)) assuming r is positive.\nAnswer: r**(-1730\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/9)\/j*j**(7\/5))**48\/((j**1*j)**18*(j**(-1\/3))**12) assuming j is positive.\nAnswer: j**(-272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*4\/(-2)*-1. Solve -q = 2*z - 3*q + w, 3*z - 4*q + 3 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 306 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6088 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 15*d**3 + 96*d**2 - d - 7. Let x(f) = -7*f**3 - 47*f**2 + 3. Calculate 3*r(o) + 7*x(o).\nAnswer: -4*o**3 - 41*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1321*f**4 - 6*f**2 - 3*f + 1320*f**4 - f**3 - f**3 - 45 + 4*f**3 to the form i*f + w + v*f**3 + n*f**2 + h*f**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001077756666 to six dps.\nAnswer: -0.001078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + 1 = 23550*j - 23553*j, -4*j - 4 = -2*s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1327842 is divided by 11453.\nAnswer: 10747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -911.55094 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 87 - 87.5. What is the closest to 0.1 in i, -4, -18?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -30, 806\/9, -2?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3428227655 - -3?\nAnswer: -3428227652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 12*p**2 + p + 15. Let n be s(-12). Let l = -36 - -81. Solve -n*w + 5*v = w + l, -w + 3*v - 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-2\/5)*f)\/f**(-1))\/(f**(1\/4))**(-6\/19) assuming f is positive.\nAnswer: f**(509\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4342784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 45 - 39. Let f(z) = 4*z + 2*z**3 - z**3 + 0 - 1 - 6*z**2. Does 16 divide f(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 83623837*c**5 - 144228463*c?\nAnswer: 1672476740*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -27. Let g(w) = w - 6*w - 3 - 1 - 2*w. Let q be g(-7). What is the highest common factor of q and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 - (4 - -6)) + (9 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k + 17. Suppose 5*f = -2*m + 4*m - 17, 3*f - 15 = -3*m. What is the remainder when (-292)\/(-6) + 2\/m is divided by q(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5 = 13. Let p be 2\/v + 38\/9. Let u = 3 - -2. Solve 0 = p*i - 4, 1 = -f + u*i - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7725 - -103. Calculate the lowest common multiple of 22 and j.\nAnswer: 86108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14791?\nAnswer: 7, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*q**2 + 1077572*q + 718376 = 0.\nAnswer: -89797, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 3*s**3 + 2 + (-7*s - 14 + 14)*(-2 + 4*s**2 + 2).\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 103 - 102. Solve 0 = o - 4, -z = -2*s + 4*o - 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 124, 190?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 7*t**2 + 11*t - 8. What is the units digit of p(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(1\/5)*z**(-3)*(z**(1\/3)*z*z)**(-20\/7) assuming z is positive.\nAnswer: z**(-142\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {r: 2, t: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 226 in 104, -1\/328, -0.2?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -489 - -513. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5.5 + -5. Let p = -1.9 + -72.1. Let t = p - -75. What is the smallest value in t, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 17476 - 27636. What are the prime factors of k?\nAnswer: 2, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, m: 7, h: 3, k: 3}. Give prob of sequence whk.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*d + 426*d**2 + 18*d**3 - 217*d**2 + 8*d - 209*d**2.\nAnswer: 18*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 minus -157351525618?\nAnswer: 157351525607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*h + 2270238 = -2581726. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the first derivative of -n**8\/1680 + n**5\/30 - 13*n**3\/3 + 4. Let z(t) be the third derivative of u(t). Find the second derivative of z(c) wrt c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 66*y**2 - 48*y**2 - 265*y - 21*y**2 - 212*y = 0.\nAnswer: -159, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**(1\/2))\/y)**(-2\/11)*y*y**(-1)*y*(y\/y**(-2\/3)*y*y)\/y)\/(y**(2\/3)\/y**(-5))**(-1\/31) assuming y is positive.\nAnswer: y**(4031\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5*s + 16 = 0, 5*q + 4*s = 3*s + 49. Suppose -q*r = 36 - 9. Let m(o) = 2*o**2 - 3. Let g(a) = a**2 - 1. Calculate r*m(f) + 8*g(f).\nAnswer: 2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2.8, -5, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 28 = -3*r - 3*q, 24*r + 2388 + 2401 = 2*q + 4747 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 593 or 483?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - r = -4, 6*r = 3*n + 2*r + 23 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376 + 40 = 414*v - 2068 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*b - 3 = -3. Put -2, b, -35 in descending order.\nAnswer: b, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 6*(-2)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 - 4. Suppose n - 3*n = v. Sort n, -5\/3, -6 in decreasing order.\nAnswer: -5\/3, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/(-9))\/(2*(-5)\/60)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((3105\/(-8235))\/(-23))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g + 1. Let f be k(1). Let h be (f\/(-3))\/(6\/(-45)). Suppose 0 = h*z + 4*s - 9*s - 10, -3*z + s = -10. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -603, -1206, -1809?\n\"Answer: -603*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1197, 1248, 1325, 1434, 1581?\n\"Answer: o**3 + 7*o**2 + 23*o + 1166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8.83 - -13.83. What is the fourth smallest value in -3, -1\/5, -13, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 491502 by -726.\nAnswer: -677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10.7 + -48.39. Round b to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/2 and 73\/850?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7.7 - 8. Suppose 0 = 2*w - i + 11, 2*w + 2*i - 13 = 3*w. What is the nearest to g in w, 1\/2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -12*a - 29. Let w(d) = 50*d**3 + 2*d**2 - 44*d. Let y(c) = -c. Let t(p) = a*w(p) + 5*y(p). What is the third derivative of t(b) wrt b?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/3*26\/(-52)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mlaadhx. Give prob of sequence aah.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 3 r when four letters picked without replacement from {n: 5, w: 1, r: 5}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 435209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51905.03 - -51505. What is v rounded to the nearest integer?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123 = 120*a - 843, 1064*k - 1063*k = a - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -o + 6. Let w be (-154)\/21*o\/(-4). Suppose -4*n = 3*z + w, 3*z + 4*n + 29 = 6*z. Solve -x + z = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y - 5*d - 38 = 0, -3*y + 58*d - 61*d + 6 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 1078 + 6626. Let b = -891 + h. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 4*f - 57 = 0. Calculate the remainder when 54 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23 - -695520165762.\nAnswer: 695520165785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -1 + sqrt(17) + sqrt(68)\/(sqrt(12)\/sqrt(3)).\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -3*k - 8. Let w(t) = t + 3. Let s(o) = -3*l(o) - 8*w(o). Let h(i) = 9*i - 7. Let j(v) = -5*v + 4. Let q(c) = -4*h(c) - 7*j(c). Determine s(q(u)).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 173 - b32b4?\nAnswer: -b3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*g - g**3 + 0*g**3 + 3*g**3.\nAnswer: 2*g**3 - 48*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0134 - 0.0134. Let k = -0.2 - -0.6. What is the nearest to v in 1, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -237.7 + 238. What is the second biggest value in -0.26, -0.5, d?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*n - 4*n + n)*(-505817*n + 252911*n + 230 - 11*n**2 + 252908*n) as v + q*n**2 + s*n + d*n**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ell when three letters picked without replacement from {y: 2, c: 2, l: 2, e: 6}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 2186, -5, 0.03 in ascending order.\nAnswer: -5, -1\/3, 0.03, 2186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-160))\/((-5)\/((-580)\/(-203))).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1386 divided by -8197\nAnswer: -198\/1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 4*s**2 - 4*s + 5. Suppose -20 = 4*d - 4*j, -d + 13 = 3*j - 2. Suppose 0 = -4*b - d*b - 20. Give a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -374, -500, -640, -800, -986, -1204, -1460, -1760?\n\"Answer: -l**3 - l**2 - 116*l - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 189604 by -47401.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5949387900 to the nearest integer?\nAnswer: 1812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 129 and 0.1.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -2*r**5 + 502*r**4 + 23450*r**3 - 49390*r**2 - 23448*r + 48888 = 0?\nAnswer: -42, -1, 1, 2, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2. Let w(r) = 84*r**2. What is l(w(p))?\nAnswer: -7056*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6211898?\nAnswer: 2, 7, 11, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) 0.05  (c) 56561\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -5*h. Let k = -8 - 12. Let b = k + 22. Let a(u) = -2*u**2 + 3*u**2 + 4*u**b. What is a(f(p))?\nAnswer: 125*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/3)\/(4\/12). Let s be w + 3 - (250 - -3). Let g be (-135)\/s*(-16)\/(-6). Which is smaller: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 16147.88 centuries?\nAnswer: 161478.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18275396\/175 + 104430. Let f = 3\/25 + a. Find the common denominator of -11\/10 and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 992184288.\nAnswer: 2, 3, 47, 97, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*h**3 + 5*h**3 - 2*h**3 - 10*h**3 + 21*h**3 - 4*h**3 + (-2*h + 4 - 4)*(-2*h**2 - h**2 + 2*h**2) - h**3 + 5*h**3 - 2*h**3 + 4*h**3 - 10*h**3 + 3*h**3.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 42322 rounded to the nearest one thousand?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 2*n = 155, 2*b + 254 = -3*b - n. Sort 2, b, -3, 0 in ascending order.\nAnswer: b, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 4*u - 2 = 5*h, 0 = 3*h - 5*u + 14. Let s be (4 - (7 + 1))*(-4)\/2. Solve h*i + s = 4*i + x, x - 3 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {l: 5, d: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1935757373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223 = 5*c - 233. Solve c*t = -7 - 1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 14*z**3 + z**2 - 4*z + 2. Let n be 7\/(77\/11) + 0. Calculate f(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -60*w - 1. Let f(d) = -59*d - 1. Let a(s) = 6*f(s) - 7*j(s). Is 24 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -156 - -177. Suppose -18*k = -f*k + 135. Calculate the least common multiple of k and 50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -9294.6413 - -9294. What is q rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fffftbfufufufbt. Give prob of sequence tu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 5)\/(2\/4). Let n(w) = -4*w - 10. Let d be n(z). Let g be 42\/26*(-7)\/d*4. Which is bigger: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -22*v - 223. Determine u(-4).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42904?\nAnswer: 2, 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (31 - 13 - (-17 - 2)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(360)\/(sqrt(24)\/sqrt(2)))\/(sqrt(2) + sqrt(98)*-1))\/((sqrt(126)\/((sqrt(112) - sqrt(7)) + sqrt(7)))\/(sqrt(24)\/(sqrt(4)*-2))).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 5*c + 2 = -3, -9 = 5*o + 4*c. Let u(y) = -6*y + 14. Let h(s) = -4*s + 9. Determine o*u(i) + 8*h(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 20*l**3 + 4*l**2 - 7*l + 25. What is the hundreds digit of o(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 1)*(-194)\/291*3\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.2741116ms to hours.\nAnswer: 0.000001465031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -691950243 - -691951362.0003678. Let h = 1119 - q. What is h rounded to 5 dps?\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/2 + 108\/6)*(8 + -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of b**4\/24 - 2*b**3 - 9*b**2\/2 - 4*b. Let j(f) be the first derivative of t(f). What is j(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/13, -21629, 5, 7?\nAnswer: -21629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 566371949 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 248*t - 170*t - 23810 + 18272 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1595994773 to the power of 1\/3, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -863.396 - -861. Let o = 0.061 + a. Round o to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 11 - (336\/28 - 6)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6485.6286 to the nearest ten.\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 - -2. Let b(t) = -2*t**3 - 3*t**2 + t + 2. Let i be b(-2). Suppose 2*l - 2 = 4. Sort l, i, q in descending order.\nAnswer: i, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 2*c = -2*n + 151, 2*n + c = 157. What is the greatest common factor of 7 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -338 - 437 + 774 + 1929*v**2 - 1928*v**2.\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - 2*u - 5. Is o(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -6 + 71067032?\nAnswer: 71067024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the first derivative of -11*s**4\/12 - 19*s**3\/6 - 13*s**2\/2 - 26. Let c(j) be the second derivative of g(j). What is the derivative of c(y) wrt y?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7 - 4 - (0 - -1). Let l be 96\/4*(0 - 1\/1). Let j = h - l. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28*117.\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 4 = -h, 9 - 6 = -2*h + 3*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 PM and 7:15 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from {a: 2, q: 3, c: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -0.629  (b) -2  (c) -20\/2769\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -35418*d**3 + 17714*d**3 + 17229*d**3 + 322 wrt d?\nAnswer: -1425*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123 (base 8) to base 7.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4547012\/19 or -239317?\nAnswer: -4547012\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - 10011010001?\nAnswer: -10011001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = x - 6. Suppose 5*w - 28 = -2*j, w = -w + x*j. Let t(z) = 5*z**2 + 4*z - 2. Is t(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.2 and 34208.\nAnswer: -41049.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 + 14 + -13 - -5.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 808 - 27*u + 668 - 1476 + 9*u.\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**5 - 268*t**4 - 520*t**3 + 8*t**2 + 524*t + 260.\nAnswer: -4*(t - 1)*(t + 1)**3*(t + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0033 + 1.36.\nAnswer: 1.3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 38*r + 92. Let s be i(6). Suppose 0 = -7*q + 17*q - s. Solve 0 = -7*o + 15*o - q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-10)\/(-3))\/(2\/3). Let f be x\/(-325)*4\/90. Let c = f - -129679\/5850. Calculate the common denominator of c and 10\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1773420 divided by 354684.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 331 + -335. Let i(d) = -21314*d**2 - 19*d - 52. Let o be i(m). Round o to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29077131.\nAnswer: 3, 1949, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 30538, 61022, 91506, 121990, 152474?\nAnswer: 182958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 5:58 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2781774 and -0.85?\nAnswer: -2364507.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r**2 + 6*r - 3. Let o(x) = x - 3 + 4*x**2 + 6*x - 1. Let y be ((-25)\/15)\/((-2)\/6). Let k be -6 - 5\/((-10)\/4). Calculate k*o(q) + y*t(q).\nAnswer: -q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/15 + 16*o\/3 - 160\/3.\nAnswer: -2*(o - 20)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20034859 and 4623429?\nAnswer: 60104577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5 - 9*p**2 - 51\/5*p**3 - 9\/5*p - 18\/5*p**4.\nAnswer: -3*(p + 1)**3*(6*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -83 * 20888.\nAnswer: -1733704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.086322548 to three decimal places.\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -419934 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -655 + -a1?\nAnswer: -706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 56741 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 6:34 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*d - 15*d + 4607. Suppose 4*g - d = -3*n, 2*g - 144 = -4*n + 4. Calculate the highest common divisor of 40 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of -6*(-5 + (-1 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -423\/25352?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1747?\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 14*s + 302. Let v = 3132 + -3154. Calculate j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -6, -9, -4, 15, 54, 119, 216?\n\"Answer: g**3 - 2*g**2 - 4*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2\/5 + 498*s\/5 + 200.\nAnswer: -(s - 500)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 105*z - 223156 + 86656. What is z rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -156723 + -7?\nAnswer: -156731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -n**3 - 4*n**2 - 7. What is the second derivative of p(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2508550750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10755 and 2446380.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101636 (base 9) to base 8.\nAnswer: -165611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6579*b**2 + 13025*b - 13025*b - 6575*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 150 divide 10685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 4*m**2. Let w(c) be the first derivative of c**5\/60 + c**3\/3 - 3. Let t(z) be the third derivative of w(z). Calculate v(t(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8652.999992783 + -8653. What is p rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -155990 divided by 190\nAnswer: -821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -231 + 5?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 11 = u, u + 3*s = -4*u + 31. Suppose g - 138 = -u*g. What is g rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3 - 6*s**2 - 5*s**2 + 50*s**6 + 214*s**6 - 2*s**6 wrt s?\nAnswer: 31440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, 1556, 54 in decreasing order.\nAnswer: 1556, 54, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 2259418789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = 2*d + 405, 0 = 5*b - 5*d + d + 2095. Let o = 842 + b. Let g(z) = -427 + o + 32*z. Let m(a) = 2*a. Determine m(g(v)).\nAnswer: 64*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppz when three letters picked without replacement from {j: 2, f: 2, z: 4, p: 3, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -77 - -70.6. Let j = 0.6 - l. What is the third smallest value in j, -1, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 270 = -3*i - 31, -20 = 4*w. Suppose -2*n = -4*f - i, f + 204 = 4*n + 5*f. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.07 * 12446167\nAnswer: 871231.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by -386?\nAnswer: -3\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -3  (b) 2  (c) 2\/9  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (172\/14)\/((-48)\/12) and 13\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*t**3 - 27*t**3 - 18*t**3 + 192 - 191 - t to b*t**2 + h + d*t + f*t**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -33 + 32. Let w be 4*n\/20 + 1426\/5. Let m = -104 + w. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.90478 and 1.7?\nAnswer: -10.038126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30\/7 - 27\/7*x - 3\/7*x**2 = 0 for x.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*j = -o - 3, -2*o = 4*j. Suppose -6 = -f + 3*b, 5*f - 3*b - o*b = 10. Suppose f = -2*i + i + 45. Is i a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 AM and 8:15 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.82769 + -0.17231. Which is the second smallest value?  (a) h  (b) -1\/3  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -f + 3*f + 3, -5*u + 5*f + 15 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 423149.\nAnswer: 19, 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -20*b**3 + 22*b**2 - 101*b - 10. Let x(s) = 14*s**3 - 15*s**2 + 67*s + 7. Let f(r) = 8*x(r) + 5*y(r). What is the units digit of f(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26.4 + -3014.\nAnswer: -3040.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -14*h**2 + 100*h + 2733. What is c(18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 0. Let b be 0 + 18\/10 - i. Let l be 9*(-5)\/(-180)*(1 - 0). Sort l, b, 1\/3, 4 in increasing order.\nAnswer: b, l, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 399 and 210.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134794 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1167 - -2524. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 47 times -4619?\nAnswer: -217093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 748 + 345 = i. What are the prime factors of i?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -36*c + 40. Let d(u) = -110*u + 114. What is 6*d(j) - 17*w(j)?\nAnswer: -48*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 3*t**2 + 6 - 12 to the form o*t**2 + u + m*t and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 22.7162 tonnes?\nAnswer: 22716200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 10:00 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -1 + 0*w**2 - 7*w - 2*w**2 + 3*w**2 + 8. Is o(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 2 + 0 + 9 + 7*z. Determine g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1891\/915 + 66\/(-18)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11172\/8 + (-6)\/4 is divided by 70?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 1. Let a(p) = -3*p - p - 6 + 3*p. Let f be (26\/(-14) + 1)*20\/(120\/42). Determine f*h(k) - a(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2, -4, -3\/4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1958 is divided by 122.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*i + 60*i**2 - 24*i**2 - 15*i**2 - 22*i**2 + 32.\nAnswer: -i**2 - 125*i + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the first derivative of j**5\/60 + 10*j**3\/3 + 4. Let y(z) be the third derivative of r(z). Let n(d) = -12*d**2. What is y(n(t))?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 299719701 to the nearest integer?\nAnswer: 17312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3080611.\nAnswer: 173, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(1*(sqrt(63)\/(sqrt(9)*4*6 - sqrt(9)) - (-3 + -1*sqrt(77)\/sqrt(11))))**2*-2.\nAnswer: -35172\/529 - 576*sqrt(7)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67, 579, 1439, 2653, 4227?\nAnswer: 6167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 51 + 15 = 0. Let h be (-12)\/(42\/(-7))*51\/s. Calculate the highest common factor of 68 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 3*f**2 - 4*f**2 - 15 + 18.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -0.5, 3, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5531 (base 7) to base 12\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u + 10. Let d be r(-6). Let l = d - -2. Suppose -2*f = s + f + l, 4*f = -s - 16. Solve 0 = 2*h - s*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/17  (b) 2\/11  (c) 46\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 4. Let a be 18\/(-22) - 2\/11. Sort a, n, -4 in descending order.\nAnswer: n, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/14)\/((-26)\/(-455)). Let j(b) be the second derivative of q*b**2 - 8*b - 1\/6*b**3 + 0. Give j(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*a**5 - 104*a**2 + 385*a - 1 wrt a.\nAnswer: 100*a**3 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(1 + -4))\/(-1). Is o\/12 - (-1209)\/18 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ypuuvuvouy. What is prob of picking 1 o and 2 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10381449.\nAnswer: 3, 13, 29, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1c42 + 39?\nAnswer: -1c07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4*1*8\/(-16). Suppose -164 = -0*d - x*d + 4*t, 4*t + 336 = 4*d. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -480844, -961670, -1442492, -1923310, -2404124, -2884934, -3365740?\n\"Answer: 2*k**2 - 480832*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*w - 4 - 92 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2940048 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 83 - ((142 - 68) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 3*s**3 - 17*s**2 + 10*s - 5. Let h(z) = -5*z**3 + 26*z**2 - 16*z + 8. Let l(r) = -5*h(r) - 8*k(r). Let f(w) = -w**3 - w**2. Calculate -6*f(n) - l(n).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-114)\/342*(-1061 + -1 + 0). Suppose 349*n = c*n. Solve 3*y + n = -3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 103553 (base 6) to base 15.\nAnswer: 285c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -48961*i**3\/2 + 48960*i**2 - 48957*i\/2 - 1 = 0.\nAnswer: -2\/48961, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**2 - 2*x. Let w(c) = c. Let f(z) = -3*t(z) - 7*w(z). What is the second derivative of f(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 4:40 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -102, -2\/3, 8, 0.4, -1 in descending order.\nAnswer: 8, 0.4, -2\/3, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -12 + 5 + u - 9*u + 13 - u**2. Determine b(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 4:25 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -7*r**2 + 188*r - 132. Let q be d(24). Is q at most 352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -15\/2, 4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -8*u**3 + 0*u + 0*u - u - 5*u**3. Let l be p(-1). Calculate the common denominator of -57\/14 and (-3 + 1 + 5)\/l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -15 = 5843\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/74430 and 17\/50?\nAnswer: 372150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -424 - -1?\nAnswer: -423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13\/6 - 79\/42. Let l = -91\/6 + 31\/2. Which is the smallest value?  (a) l  (b) 3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -3*f**2 - 19*f + 896. What is g(-20)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74029337?\nAnswer: 2273, 32569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -12*k. Suppose 3*j - 4*u = 7*j - 148, 4*j + u - 142 = k. Suppose 0 = 10*m - 75 - j. Solve -3*l = m - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - -1 - 4)*44847\/(-11627). What is j in -36*j - 6\/7*j**3 - 21 + v*j**2 = 0?\nAnswer: -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -244, 3, -5, -2, -16 in descending order.\nAnswer: 3, -2, -5, -16, -244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 15\/232 and 47\/9769491?\nAnswer: 78155928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 7, d: 4}. What is prob of sequence lll?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(-2\/3)*d\/(d*((d*(d\/(d\/((d\/d**(-2\/121))\/d)))\/d*d)\/d)\/d)*d\/d**(-14)*d\/(d**(8\/15)*d))**23 assuming d is positive.\nAnswer: d**(714541\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**5\/7 + 6*p**4\/7 + 2*p**3\/7 - 6*p**2\/7 - 4*p\/7 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 271 + -127. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 4*l + 24 = 0, 3*l + 93 = 4*k + 23. Suppose -21*p + 20 = -k*p. Suppose z + 3*d = p*d + 91, 366 = 4*z - 5*d. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -1048*n + 10474. What is h(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4 + 0)*33\/(-12). Let m = 13 + i. Solve 2*o + m*o = r - 17, -4*o = 3*r + 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + h + 1. Let b(j) = -2*j**3 + 1. Let z(i) = -2*i**3 - 3*i + 1. Let y(c) = -2*b(c) + z(c). Determine -3*t(q) - y(q).\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -967, -2912, -6151, -10684, -16511, -23632, -32047?\nAnswer: -41756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -10 - -10. Suppose 262 = -z*j - 2*j. Let k = -92 - j. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13170374*g**3 + 80299*g**2 - g - 11 wrt g?\nAnswer: 79022244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12074153 is divided by 5033.\nAnswer: 5019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 863155 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the third derivative of 0 + 0*m**3 - 17*m**2 + 0*m**5 - 7\/120*m**6 - 5\/6*m**4 + 0*m. Find the second derivative of t(n) wrt n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2\/9 + 18286*y\/9 + 2032.\nAnswer: -2*(y - 9144)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 11  (b) 1.5  (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 831, 3203, 7121, 12585, 19595?\nAnswer: 28151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (47578*h**2 - 47578*h**2 - 2716*h**3)*(-1 + 1 - 1) in the form f*h**2 + s*h**3 + b + a*h and give s.\nAnswer: 2716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aaaaaaaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 223\/5?  (a) 0  (b) -47944  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2687491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 981248 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 4, z: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37 + 30 + 482*w**2 + 7)*(1 - 5 + 3 + (17 + 10 - 4)*(-1 - 2 + 2)).\nAnswer: -11568*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i**2 + 3*i - 3. Give c(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 602, 3135, 7692, 14273, 22878?\n\"Answer: 1012*t**2 - 503*t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -673, 237, 1147, 2057, 2967?\nAnswer: 3877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + -1.1. Let x be -2*(2 + -3) + -1. Which is the second smallest value?  (a) x  (b) k  (c) -5  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -13\/3, 1, -0.07, 0?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 8:34 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 3*j**2. Let x(t) = -120852571*t. Calculate o(x(b)).\nAnswer: 43816031751930123*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.4 - -2.5. Which is the closest to -1?  (a) 0  (b) s  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of i**4\/28 - 11*i**3\/14 - 18*i**2\/7 + 2*i - 3. Solve y(r) = 0 for r.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of a**2*i*m + 8*a**2*m + 2*a*i*m - a*i - 4*i*m - 32*m wrt a.\nAnswer: 2*a*i*m + 16*a*m + 2*i*m - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -31*s - 3. Let z(u) = -31*u - 2. Let b(o) = 3*q(o) - 4*z(o). Let g be b(1). Let y = 5 + -1. Solve y*m + 10 = g for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001988202941 to seven dps.\nAnswer: 0.0019882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -4*p - 16. Let j be b(-13). Suppose -3*d - j = -0*u - u, -3*u = 4*d - 69. Let r = u - 18. Calculate the lowest common multiple of 7 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**4 - 392*g**3 - 11464*g**2 + 52276*g - 4. Let f(c) = 2*c**3 - 5*c**2 - c + 1. Let t(x) = 4*f(x) + q(x). Factor t(w).\nAnswer: -3*w*(w - 4)*(w + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 9:58 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from oqqmaaommaqamammaam.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-7\/4)\/(x**33\/x*x))**43)**28)**6 assuming x is positive.\nAnswer: x**(-251034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131418.1 millimeters to meters.\nAnswer: 131.4181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -3*x. Let s(d) be the third derivative of 13*d**4\/6 + d**3\/6 - 3*d**2 - 80*d. Calculate l(s(j)).\nAnswer: -156*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -422 = -4*o - 2*a, o - 196 = -o - 4*a. What is the remainder when o is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39526492 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4465?  (a) -23  (b) -1562  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -30748557.3 to the nearest 10000.\nAnswer: -30750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -t**3 + 729*t**2 - 1803*t**2 - 2*t + 4404 + 367*t**5 + 1074*t**2 wrt t.\nAnswer: 7340*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14\/5 + -12\/5. Let g = -2734.5 + 2734. Which is the second smallest value?  (a) g  (b) 1  (c) 3  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3*c*k**2 + 2*c*k + 8487*c - 4*k**4 + 43210*k - 47 wrt k.\nAnswer: 6*c*k + 2*c - 16*k**3 + 43210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(180)*5)\/(sqrt(9) - (5*sqrt(900) - sqrt(900))))**2.\nAnswer: 500\/1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1a927 - -1?\nAnswer: 1a928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 1. Suppose 5 = -2*a + 2*x + 3, -a + 4*x - 10 = 0. Suppose 95 - 69 = -13*h. Let k(t) = t + 2. Calculate a*k(n) + h*u(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1227*s + 1039*s - 107*s + 298*s + 1670*s to the form g + m*s and give m.\nAnswer: 4127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + -13. Let v(k) = k**3 + 10*k**2 - 5*k + 11. Let x be v(o). Let j be (-2629)\/x - 1\/(-5). What is the highest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 31  (b) 5  (c) -0.2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 + (-12 + (-1 - (1 + -19)) - 10).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.0837538ns in weeks?\nAnswer: 0.0000000000000183263125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 152 = -5*f - 109, 0 = 2*f + 4*u + 122. Let w = -51 - f. Calculate the common denominator of -5\/78 and (-1)\/w - (-266)\/70.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 377 - 7?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k**4\/13 - 306*k**3\/13 - 276*k**2\/13 + 4304*k\/13 + 7296\/13 = 0. Calculate k.\nAnswer: -152, -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/9  (b) 118  (c) 7  (d) 6  (e) 3  (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**3 - 84*q**2 - 301*q + 187. What is r(-38)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - 122\/24 - (-2)\/(-24)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 4.79.\nAnswer: -2.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.25292 weeks in seconds?\nAnswer: 23740166.016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7\/27 - -2\/27. What is the second smallest value in -4, a, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (29\/6)\/((-51)\/(-306)) is divided by 103\/7 + 2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 7*v**2 - 20*v - 6. Suppose 8 = 2*t - 0. Calculate the lowest common multiple of m(-9) and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*s + 135*s - 4221 = 0 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -416 * -910.2\nAnswer: 378643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/11, 0.5, 1\/2353, -3, 98?\nAnswer: 1\/2353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.3  (b) -42  (c) 0.1  (d) -0.6  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2301 or -75959\/33?\nAnswer: -2301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 12057 (base 10) to base 15\nAnswer: 388c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 7*p - 8. Determine h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p**3 + 2*p**2 - 1. Let u(j) = -3*j**3 + 6*j**2 + 39. Determine 4*g(a) - u(a).\nAnswer: -a**3 + 2*a**2 - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 + -2. Let h = 1708 + -1710. What is the second biggest value in -4\/5, 0.2, h, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 355 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 + 3*b)*(b**3 + 3*b**3 - 3*b**3) - 5*b**4 + 0*b**3 + 0*b**3 to the form x + i*b**2 + g*b + s*b**4 + r*b**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7*m - 16. List the prime factors of q(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((sqrt(80) + (1*sqrt(80)*-2 - sqrt(80)))\/sqrt(5))\/(-2*sqrt(1152)*1))**2.\nAnswer: -sqrt(2)\/2 + 649\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 300 and 2250?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:03 PM and 6:43 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from alineiaj. Give prob of sequence iena.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -67 + 70. Sort t, -0.3, -2\/15 in descending order.\nAnswer: t, -2\/15, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z and 1 t when three letters picked without replacement from kcccctzkccz?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 101075 and 2730.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 0. List the prime factors of (-2)\/7 + (-177)\/i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6327686.51 to the nearest one thousand.\nAnswer: 6328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100111011101000000011 (base 2) to base 11.\nAnswer: -31085aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 29*(-45)\/(-54) + 1\/(-6). Solve -5*w - w = -g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 126, 409, 880, 1539, 2386, 3421?\n\"Answer: 94*m**2 + m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 87*z - 91*z + 12. Let h(n) = n - 1. Let f(j) = -1116 + 2230 - 4*j - 1106. What is z*h(m) + f(m)?\nAnswer: -m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/(-52))\/((-10)\/30).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -3. Let h = 0.4 - 0.5. Is b less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/28 - -2) + (-2)\/(-7). Solve -2*l - q = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1178 and 2033?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7298431 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: Solve q**4\/4 + 15*q**3\/4 - 3237*q**2\/4 - 6515*q\/4 - 816 = 0 for q.\nAnswer: -64, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*g - 3472 = 2*g, -g = 3*s - 2604. What is the highest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 9) in base 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000030299 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 1642*d - 3 - 1641*d + 4. Suppose 4*j + 8 + 0 = 0. What is r(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 5*k + 2, 12*n + 5*k = 14*n + 7. Put n, -4, 4\/19 in decreasing order.\nAnswer: 4\/19, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtstndnsnqdqnq. Give prob of sequence ntqd.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(130)\/(sqrt(40) + sqrt(10)) + 2*sqrt(13) + -4 + sqrt(13) + (0 + sqrt(1053))*-1 + 2)**2.\nAnswer: 68*sqrt(13)\/3 + 3766\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.4, -669, -9, 16\/13?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*o = 0. Let a(y) = -y**3 - 11*y**2 - 10*y + 20. Let v be a(-10). Solve -z = n - 1, -3*n - 2*n - v = o for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 10 + 12 = 0. Suppose 5*i - 5 = 3*z - 44, 10 = 2*z + w*i. What are the prime factors of 44\/z - (-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9052\/5 + 27151\/15. Which is the fourth smallest value?  (a) w  (b) 0.5  (c) 1382\/3  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/7)\/((-1162)\/61005)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m - 24 - 11 = 2*u - 7, -5*m - 66*u = -94*u - 87 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*q = 26*q + 155*q - 3300936. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -8678502\nAnswer: -1\/619893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 2*t**3 - 10*t**2 + 2*t - 6. Let u be m(5). Solve -u = w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6516306*u**6 - 243*u**2 - 4702*u - 1?\nAnswer: 781956720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m - 24. Let i(o) = -21*o + 6. Let v(z) = 36*z - 10. Let p(r) = 10*i(r) + 6*v(r). What is f(p(y))?\nAnswer: -6*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(28)*-1 + sqrt(7) + -2*sqrt(1008)) + 0 + 2 + 5 + -5 + 1*sqrt(7)*-2)**2.\nAnswer: -508*sqrt(7) + 112907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 75291900 to the nearest 1000000.\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from mamyyykkyyym.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*f + 20*f = 2080. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 0.076, 5, -37762?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 267.9206 centuries?\nAnswer: 26792.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 0.1127, -22\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/9 and -139\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((sqrt(1331) - (sqrt(1331) + 1 - sqrt(1331)) - sqrt(1331))*-3 - (4 + -1*sqrt(1331)))**2.\nAnswer: -22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3011 + -168627\/56. Find the common denominator of 15\/7 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/2 - (0\/(-1))\/3. Is 3351*((-55)\/15 - v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173 is divided by -6 - ((-220)\/5 - -3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*q**3 + 160364*q**2 - 27749*q - 2 wrt q?\nAnswer: -12*q + 320728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6562 is divided by 380?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(7) - sqrt(63)\/(-2*sqrt(9))) + 1 + sqrt(7) + 0)*-4 + -3 + (sqrt(126)\/sqrt(3) - sqrt(42))\/sqrt(6) + -4)**2.\nAnswer: 220*sqrt(7) + 821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5282 - 5280. What is the closest to -0.1 in 5, 2\/1933, t?\nAnswer: 2\/1933","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 2540 = -5*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2442539551 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*r**2 + 1\/4 - 1\/4*r + 1\/2*r**3 - 1\/4*r**5 + 1\/4*r**4.\nAnswer: -(r - 1)**3*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/(-1712) + (-41148)\/3210\nAnswer: -64\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**(-29))\/n**(3\/4) assuming n is positive.\nAnswer: n**(121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (149*z - 49*z + 44*z)*(77 + 25 - 61).\nAnswer: 5904*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 12 = a. Suppose -3*b = -2*t + 2*b + 26, a*t - 4*b = 46. Suppose 2*w - 2*n = -3*w + 96, -5*w - n = -87. Is t at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 25550.0625 to the nearest 10.\nAnswer: 25550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 885 = 4*p. What is the remainder when p is divided by (-42)\/(-10)*(-7370)\/(-938)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*j**2 - j**2 - j**2 + 1012006*j**3.\nAnswer: 1012006*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 119*j - 1. Let w be c(-1). Let h be w\/18*6\/(-4). Solve 0 = -7*t + 2*t - h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 11 = 13. Let h(s) = 6*s**2 + s - 2. What is the remainder when 3\/((-5)\/240*-4) is divided by h(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -87 - -56. Let v = -8 - i. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -37 - 2543165?\nAnswer: -2543224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*d**2 + 7*d**2 - 3*d**2)*(3*d**2 + 0*d**2 - d**2) - 131*d**4 + 97*d**4 - 228*d**4 - 2*d**4 + 3*d**2 - 3*d**2 - 2*d.\nAnswer: -262*d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h = -15*h - 5*w - 60, -5*w = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - 30*i**2 - 30*i - 23. Determine h(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l + a + 11 = 4*a, 0 = -4*l + 5*a + 35 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 39.55889 millennia?\nAnswer: 395.5889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -2589891\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n*((n\/n**(1\/2))\/n)\/n)*n**(-1)*n)**(-22) assuming n is positive.\nAnswer: n**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 8:27 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*c - 114 + 6. Is ((-32)\/c)\/((-394)\/132 - -3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*b**3\/8 - 8*b**2 + 81*b\/8 + 1\/2.\nAnswer: -(b - 1)*(b + 4)*(21*b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = a - 0*a. Suppose -2*z - a + 111 = 0. What is the highest common factor of 5 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 4*j**3 + 443*j**2 + 340*j + 1100. Give v(-110).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 7 + 12 = 0. Let w = 37 + t. Calculate the highest common divisor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 80 and 27350320?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 167\/404838 and -40\/361179.\nAnswer: 36840258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -2  (b) 28  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + k = 4*s - 102, 4 = -2*k. Solve 30 - 30*c**3 - 138*c - 42*c + 155*c**2 - s*c = 0 for c.\nAnswer: 1\/6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -289865 or -289382?\nAnswer: -289382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 3, -2, 1, 239, 0, -17 in decreasing order.\nAnswer: 239, 10, 3, 1, 0, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122 = 5*f + 2*l - 28, 3*l - 155 = -5*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4.95 - -0.75. Let v = t + -1.7. Sort 5, v, -3\/5 in decreasing order.\nAnswer: 5, v, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = 5*t - 3. Suppose -f - 18 = -t*f. Calculate the highest common factor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the first derivative of -t**3\/3 - 2*t**2 - 6*t - 26. Let f be o(-2). Let c = -1 + 3. What is the closest to c in -4\/5, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g = -4*g - 24. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/5 or 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != 3.003024687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8720 divided by -16.\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -12424027 + -57755\nAnswer: -12481782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4910835?\nAnswer: 3, 5, 19, 17231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s - 3*s**3 - 12*s**3 + 3 + 18*s**3 + 2*s**2 to f + q*s**3 + o*s**2 + x*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2037230?\nAnswer: 2, 5, 13, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u + 1. Let v(i) = -4*i + 3. Let s(g) = -3*n(g) + v(g). Let r(m) be the first derivative of 0*m - 4 - 7\/2*m**2. Determine r(s(f)).\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1747152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/8 + 4383\/84. Let i = j + -52. Which is the smallest value?  (a) i  (b) -1  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1088, -1080, -1072, -1064, -1056, -1048?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-11))\/((13\/(-11))\/13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 212 - 99?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1574200 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 7750 bigger than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -6 + (-7 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5773, 5772, 5771?\nAnswer: 5770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a - 5. Let c(i) = i. Let f(p) = 2*c(p) + u(p). Let b be f(-10). Let r(w) = b + 2*w - 3 + 0 - w. What is r(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58 - 39. Suppose -12*x + 10*x = -14. What is the remainder when g is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -4  (c) -0.2  (d) -2\/21  (e) -8.52  (f) -106\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 481*w**2 + 14423*w + 139. Determine q(-30).\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 234\/(-351)*(-2)\/(-8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v + 8*v + v + 25 - 15*v - 4*v.\nAnswer: -11*v + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 4 = 37. Let u = -669\/5 - -1982\/15. What is the third biggest value in -2, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -0.1  (b) 1  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p - 51. Let g(h) = -h + 25. Let z(x) = 13*g(x) + 6*o(x). Let m be z(17). Suppose d - 4*d = -9. Solve 15 = d*n + m*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, i: 2, o: 2, w: 2}. What is prob of picking 1 o and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -997 + -124. Let q = -1116 - s. Factor 2\/13*a**q - 2\/13*a**4 - 2\/13*a**3 + 2\/13*a**2 + 0 + 0*a.\nAnswer: 2*a**2*(a - 1)**2*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62*l - 145*l + 58*l.\nAnswer: -149*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96 - -35. Let n = -67 - j. What is the second smallest value in -2, 3, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.8 + 0.3. Let b = -2.96 + 3. Let r = b + 1.96. What is the smallest value in 5, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-43)\/(1806\/56)*12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/a**(20\/7)*a)\/(a**24\/a))\/(a**21)**(-1\/8))**(3\/7) assuming a is positive.\nAnswer: a**(-3567\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2646583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 473 and 172.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10260\/(-1197) - (-8)\/(-7)*2\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 449421.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 3:47 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10 + 13. Let g = -3308 - -36398\/11. Determine o so that 0 + 2\/11*o**s + 6\/11*o + 2\/11*o**4 - g*o**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c\/(c**4\/c)*c)\/c)\/c**(-1))\/(c**(-3\/8)\/(c*c*c**(1\/7))))**(1\/2) assuming c is positive.\nAnswer: c**(85\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -2*y**3 + 14*y**2 - 13*y + 2. Calculate n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3146947.3+-1.45\nAnswer: 3146945.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -2*j + 2. Let z(b) be the third derivative of b**4\/4 - 7*b**3\/6 - 3747*b**2. What is 11*c(s) + 4*z(s)?\nAnswer: 2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -133, -117, -101?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 929 is divided by 167?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 4.845276 millilitres?\nAnswer: 0.004845276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 17*l**2 + 20*l + 4. Let f be g(-8). Let i be (-2)\/(-28)*-2 - (-165)\/f. Sort i, -1, 3 in increasing order.\nAnswer: -1, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -0.3, 0.1, -16, 70?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -5. Suppose 2*f = -12 + 38. Calculate the smallest common multiple of f and -2 + m + 0 + 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.37 + 8.87. Let n = -8.50113 + y. Round n to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -457*g = -468*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1439 - 1436.96. Round k to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5 and 10435?\nAnswer: 10435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*y + 72*y + 75*y + 4*y**2 - 229*y.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g + 4*g + 2*s = 0, 5*s = 2*g + 21. Factor -8*k**g - 44*k - 20*k**2 - 4*k**3 - 17 - 3.\nAnswer: -4*(k + 1)**2*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 10*(0 - -1)\/(-2). Put b, 0.1, -4, -3 in decreasing order.\nAnswer: 0.1, -3, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 203332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6692 - 6687. Solve -i*h + 4*j - j = 21, 0 = 5*j - 10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -30 by 272.\nAnswer: -15\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 50807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 13  (c) 0.5  (d) -2\/95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 + 9*w**2 - 7*w - 1. Suppose 0 = -2*m - 4*h + 30 + 2, m - 4 = h. Let o be v(m). Let t = -3 + o. Solve 3*y - 2 = p, 3 = -0*y - y + t*p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of b**5\/60 + b**4\/6 + 2*b**3\/3 - 116*b**2. Suppose 20 = -q + 4*j, -j - 16 = -q - 6*j. Determine s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/(1 + 0))\/(-2). Let w = -93.3 + 93. What is the closest to 1\/2 in w, c, -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -17*o + 64. Let h be (9\/(0 + 3))\/(6\/(-20)). Let u be n(h). Suppose -x + 0*z + 108 = -z, -4*z = 2*x - u. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x + 4*s - 7, s - 5 = -4*x + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17764 + -8981. List the prime factors of o.\nAnswer: 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -143575.9719918 + 143576. Let g = -7 - -7.028. Let m = g - c. Round m to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52445 is divided by 162?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of -76435 and -0.4.\nAnswer: -76435.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15.6 - -4.4. Let m = 20.9 - w. Let p be (-25)\/(-65)*3 - (-2)\/(-13). Which is the closest to m?  (a) -0.3  (b) 5  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -10292*g + 30867. What is t(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**3 - 11*m**2 - 18*m - 20. Let b be a(-8). Let g = -64 - b. Suppose 13 - 38 = 5*t, g*y + 4*t - 740 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -3*k - 5. Let i(d) = d + 1. Let j(n) = -5*i(n) - s(n). Let c(o) = o**2. What is j(c(g))?\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = j, 3*j - 46 = -z - 4*z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.83 + -55.83. Let v = u + 54.46. Let x = -0.04 - v. Which is the second smallest value?  (a) x  (b) 1\/4  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 314 = 2*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 114*d**2*x**3 - 10*d**2*x**2 - 12*d**2 - 59*d*x - 14*x**3 wrt d?\nAnswer: 228*x**3 - 20*x**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 9, k: 2, j: 5}. Give prob of picking 1 p and 2 k.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or -0.102?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*n + 16, -a - 4 = -5*n + 14. Let j = 4 + n. Is (0 - -1)\/(j\/712) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -2\/11  (b) -0.1  (c) -1  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the second derivative of j**3\/2 - 141*j. Let s(n) be the third derivative of -20*n**2 - 1\/15*n**5 + 0*n**4 + 0*n**3 + 0 + 0*n. Determine s(a(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -0*s + 5*s. Let t be 4\/3*1\/s. Let l be 2\/15*(342\/48 + -8)*10. Sort t, 0.2, l in decreasing order.\nAnswer: t, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((g**3 - 4*g**3 + 2*g**3)*(8*g - g + 9*g) + 0*g**2 + g**4 + 0*g**2)*(g + g + 0*g).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-43 + 367047\/8534)\/((6 - (-133)\/(-28))*1).\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6641082, 6641090, 6641102, 6641118?\n\"Answer: 2*m**2 + 2*m + 6641078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6b73d - 4?\nAnswer: -6b741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeeemmmlelmwemmeme. What is prob of picking 1 w and 3 m?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/(-72)*(0\/(-2))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*h**2 + 118*h**2 + 111*h**2 - 349*h**2 + 397*h**3.\nAnswer: 397*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3262583 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8048428?\nAnswer: 2, 29, 69383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 978774109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of 0*a**5 + 7*a**3 + 155*a**2 + 1\/12*a**4 + 0*a**6 + 0 - 2\/105*a**7 + 0*a. Find the first derivative of x(j) wrt j.\nAnswer: -16*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-49)\/21)\/(25\/15).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 11*v - 30. Solve p + 2*p = v*h, -5*h + 3*p = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 149 + 300. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -4502*j - 891409. Give k(-198).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 15) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-8)*(-2)\/1. Let p be (w - 1)\/(-5 + 3). Let f(z) = -z + 14. What are the prime factors of f(p)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -4*q + 6*q + 610, 1533 = 5*v - 3*q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 12*y - 7*y + 5*y**5 - 2*y**5 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 80090296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 12 = -5*a, 930 = 3*g + a. Suppose -5*s = 59 - g. Suppose 40*y - 38*y - 26 = 0. Calculate the remainder when s is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 101*s**3 - 54*s**3 + 2*s - 39*s**3 - 2*s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11.9 - -7.9. What is the nearest to -1.1 in o, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - (1 + -1)) + (130 - 135) - -36?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 630 + -195. Let s = -433 + i. Solve -2*o - 5*n + 14 = -s*n, 4*o - 20 = -2*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -3*k + 19. Let h(y) = -4*y + 20. Let n(u) = -4*h(u) + 5*z(u). What is the least common multiple of 4 and n(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -3. Put 0.5, t, -4 in descending order.\nAnswer: t, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 + -19.4. What is the nearest to 1 in m, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 248 - 130. Let f be (-2)\/20*(m + (-1 - -5)). Is -12 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-s - 3 + 3)*(20 - 10 + 11)*(2 + 1 - 1)*(0 + 0 - 1) + 148*s + 118*s - 82*s)*(-2 - 3 + 1).\nAnswer: -904*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y**2 + y**4 + y**2 - y + 2*y**3 - 6*y**2 + 1 - y**5 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-3\/8)\/(k\/(k*k**(1\/3)*k*k)*k*k*k))\/((k*k**6*k)\/k*k*k**6)*(k\/(k*k\/k**3)*k*k*k**(-3\/7))\/(k**(2\/7))**(-17\/5) assuming k is positive.\nAnswer: k**(-8819\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -4*z**2. Let m(j) be the first derivative of -3*j**2 + 5. Determine m(o(k)).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(3\/4))\/(j*j\/j**2))\/(j\/((j*j*j**12)\/j)*(j\/(j*j**(-2\/9)*j*j))\/j))**(-40) assuming j is positive.\nAnswer: j**(-5950\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llyl when four letters picked without replacement from yyyyllylyyylyllllyl.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 6*b = 36. Let d(t) = -t**3 + 8*t**2 - 4*t - 31. Let u be d(7). Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -70\/1503 and 121\/1074.\nAnswer: 538074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 61, 64, 77, 106, 157?\n\"Answer: b**3 - b**2 - b + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**9\/(q\/(q*q**(-4\/7))))\/(q*q**1*q*q*q**(-1\/2)*q)*(((q\/q**(-14))\/q)\/q**9)**(-42) assuming q is positive.\nAnswer: q**(-2885\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 AM and 3:47 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u - 34759 = -181449. Let p = -10162 + u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from wbwwbbrbertb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2. Let u = -302 - -300. Let y(v) = -v - 9. Calculate u*y(h) + 10*c(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-3)\/(y*y*y*y**(2\/9)*y))\/(y*y**0)**(-3))**(-4\/9) assuming y is positive.\nAnswer: y**(152\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 1\/306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/3, -49704.2, 1\/2?\nAnswer: -49704.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 1.1  (c) 2\/3  (d) 64\/53  (e) -2  (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -59 - -62. Suppose 0 = 5*v + b*x + 2*x + 5, 4 = 3*v - 4*x. Solve 0 = -v*y - 4*y + 4*p - 24, -4*y - 18 = -p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**3 - 34*m**2 - 18. Let x be o(-34). Let s(p) = -2*p**3 - 34*p**2 + 28*p + 26. Does 17 divide s(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12157813 plus -845.1506?\nAnswer: -12158658.1506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 7, 0, -1\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t**2 - t - 5. Suppose -5*w - 29 = o + 4, 4*w = -o - 27. Let j be b(w). Suppose 0*d - 3*d = -h - 143, -d + 3*h + j = 0. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -82 + 49 + -56 + 7.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 839724751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3517112 (base 10) to base 11.\nAnswer: -1a92505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 37792956 rounded to the nearest 1000000?\nAnswer: 38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 68421 + 194714 = 5*a, -263135 = -5*a + z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (23*26\/3289)\/((-2)\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 3:49 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6736387451529 from -10.\nAnswer: -6736387451539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 13 + 3. Let q(v) = 2*v**2 + 4*v - 1. Suppose -166*w = -3784*w + 14719 + 43169. Calculate the remainder when q(h) is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - (6 + -8 + (-8 - -2))) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3064, 3655, -5.\nAnswer: -5, 3064, 3655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/306?  (a) -33  (b) -1\/4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 + -12 - -8) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -245041 (base 6) in base 3?\nAnswer: -1002221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 192 + 104. Let u be (p - (5 + -2)) + -3. What is the highest common factor of 58 and u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3071*1.2522.\nAnswer: 0.38455062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 480\/(-840)*7\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2109 divided by -38818.\nAnswer: -2109\/38818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/188512 and 61\/5590?\nAnswer: 12253280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -32949 and 6.\nAnswer: -197694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 6 = -o. Let z(a) = a + 1 - a**o + a - 11*a. Does 10 divide z(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 674 is divided by 194.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - 3*f + 5*f)*(1 - 1 - 1) + 0*f - 3*f + f + (3*f - 2*f + 0*f)*(0 + 0 - 1) - 3 + 2*f + 3 - 51*f + 22*f + f.\nAnswer: -32*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02221324846 rounded to four dps?\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, -2\/7, -367, -0.15, 286, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 636560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 - 4\/(-8)*6. Is (-4668)\/(-24)*2\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/9 - 1216\/(-288). Suppose 134 - 98 = d*x. Solve x*t = 10*t + 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -51 + 55. Put -7, u, -0.08 in increasing order.\nAnswer: -7, -0.08, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 3*z**2 - 6*z + 218. Let t(q) = -q + 1. Calculate -6*t(b) + v(b).\nAnswer: 3*b**2 + 212","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2.3 and -0.9.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13199 - 6845 = -197*b - 17877 for b.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4 + 1*(-2977 + -1). Round f to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(0 + sqrt(847) + -4 + sqrt(847)*3*-2))**2.\nAnswer: 440*sqrt(7) + 21191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 265444531 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 7 - (4 - 1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -348, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 35818 = -5*z, 0 = -183*u + 178*u + 5*z + 59670. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3603 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/3*u**3 - 10*u**2 + 28\/3*u + 0.\nAnswer: 2*u*(u - 14)*(u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -5*t + 134, 58*v - t = 54*v + 312. Calculate the greatest common divisor of 28 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -12, 21, -4 in decreasing order.\nAnswer: 21, 3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -329 times 0.5\nAnswer: -164.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -31675835 divided by -271?\nAnswer: 116885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 158959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -9326.07.\nAnswer: -9325.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 6 = 3. Let k be (3 + 0)*b - -7. Solve 0*d - d - k = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1096 and 32?\nAnswer: 4384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.06812 to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9055210 and 380.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2616799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 464066.\nAnswer: 2, 17, 13649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6627.916 micrograms?\nAnswer: 6627916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 94640.45 centimeters?\nAnswer: 0.9464045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 20*z**2 - 261*z**2 - 64*z**2 + 4*z**2 + 0*z**2 - 2*z**2 + (-3 + 3 + 1)*(-3*z**2 - 5*z**2 + 0*z**2).\nAnswer: -351*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -w + 333, -2*w + 626 = -0*w - 2*g. Let t(v) = -33*v - 18. Let u be t(3). Let z = u + w. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52338433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 42297303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*p + 9*p = -6520. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a factor of 229764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -4 + 3 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*r - 23 = -211 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 14*d - 6. Give w(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 6 = -0*a + 2*a, 13 = -3*t - 4*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -538, -1065, -1592?\n\"Answer: -527*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*a**3 + 2*a**2 + 148 - 12*a**3 - 146 + 0*a**2 to the form p*a**3 + l*a**2 + k*a + i and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 51*a = 55*a + 408146, -3*a + 163217 = 2*p. List the prime factors of p.\nAnswer: 2, 37, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (45\/10)\/(2\/(-4)). Let w be s\/2*6\/(-9). Let k be (-4 + w)\/(-1)*-1. Which is the closest to k?  (a) 2\/5  (b) 1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*u + 439*u - 151*u - 156*u.\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**2 - 48. Determine v(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 4*s - 24, -u - 35*s + 39*s = -24 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, e: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = i + 2*i. Let d be ((-48)\/192)\/((-2)\/(-12)). What is the nearest to -1 in d, 8, i, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of g**6\/120 - g**5\/12 + g**4\/8 + g**3\/3 - 2*g**2. Let q(j) = j**3 + 2*j**2 - 1. Let m be q(1). Suppose m = f - 2. Give n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/11168 < -3\/118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.348 - 0.145?\nAnswer: -0.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10270572 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -5.2. Put 1\/6, q, -3, 0 in descending order.\nAnswer: 1\/6, 0, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 5*a + 9. Let q be o(6). Calculate the remainder when 28 is divided by (0 - q)\/(6\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 4*r. Let h(v) = -v**2 + 0*v**2 + 3*v**2. Calculate w(h(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 26\/7 and -53\/837018?\nAnswer: 837018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*l = l - 11, l - 29 = -3*q. Suppose 11*n = q*n - 12. Let s(z) = -z**3 - 12*z**2 + 4. Give s(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5724*t + 5595*t = 73 - 1234 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-910)*-5)\/(8\/28*-1).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x + 1 - 1 + 6*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -95\/1144 and -97\/36.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, 5, 13475 in ascending order.\nAnswer: 5, 41, 13475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/13  (b) -17\/148  (c) -0.316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**3*l**2*p + 16*h**3*l**2 - 5*h**3*p - 3*h**3 + h**2*l**2*p - 4*h**2*l + 21*h**2*p - 4*h*l**2*p - 2*h*l**2 wrt h?\nAnswer: 6*l**2*p + 96*l**2 - 30*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -124*z + 17*z - 229 + 3867 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j**2 - 60015*j - 60010 = 0. What is j?\nAnswer: -12002, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (31 - 31)*(0 - -1). Solve f = -44*x + 47*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 21 + (-220)\/20 - 1*2739. Is -2729 != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 44*c**3 - 64*c**3 - 64*c**3 - 2*c - 5*c**2 wrt c?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4824468?\nAnswer: 2, 3, 11, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ljlj when four letters picked without replacement from {l: 4, j: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:02 PM and 11:09 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8959.36um in centimeters?\nAnswer: 0.895936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of -y**6\/30 - 5*y**5\/12 - 3*y**4\/8 - y**3\/3 + 9770*y**2. Determine d(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2992 and 12230752.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.56 take away -1264672171?\nAnswer: 1264672169.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 16*p + 11. Let b be l(6). Let q be b + 9\/7 + 561\/119. Solve -5*w = -20, 0 - q = h - w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*c - 6 = 0, 0 = -2*c - 3*c + 10. Suppose h + 4*s = -h + 22, 0 = -5*s + 20. Let b(n) = -3*n**2 + n**h - 2*n + 2*n**2 + 5 + 4*n**a. Give b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3012*j - 3046*j + 1258 = 0. What is the nearest to -2\/7 in j, -2\/11, -12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8601*s**3 + s**2 - 8593*s**3 - 8762*s**3 + 25952*s**3 - s**2.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -6. Let w be 380\/(3*f\/(-24)). What is w rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*b - 16 + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 divided by -37?\nAnswer: -23\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21766 and 9330.\nAnswer: 101538390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 31*v**2 + 90*v - 172. Let r be l(33). Which is greater: 1862\/3 or r?\nAnswer: 1862\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 168 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 431 - -2?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m + 3*z - 19 = 0, -3*m - 2*m = -3*z + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -300330002 (base 4) to base 10\nAnswer: -200450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -248*n*o**3*s - 3*n*o**2*s**2 + 2*n*o*s - 68*n*s**2 - 6*o**3*s**2 - 3*o**2*s**2 wrt o?\nAnswer: -1488*n*s - 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*(j*j**(-11))\/j)\/j*j)\/j*j**(-6))\/((j\/(j*j\/j**(-17)))\/(j\/(j*j*j**(-1))*j*j)) assuming j is positive.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 19 - -17a?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -9*w**7\/280 + 11*w**6\/120 - w**5\/20 + 7*w**3\/6 - w**2. Let v(b) be the first derivative of t(b). Factor v(x).\nAnswer: -3*x*(x - 1)*(9*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19)\/(-38))\/(10\/(4 + -14))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 5*b - 186, 2*h + 5*b - 122 = b. Let u = 117 - h. Calculate the highest common divisor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*3*(-1 + 3). Let p = 6 + x. Suppose 0 = -p*m - m + 293. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 2*w - 1147 = 0, -5*c + 4*w + 3461 = -2*c. List the prime factors of c.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4455 + 92*p - 4455)*(-4*p - 3*p + 5*p)*(19 + 3 + 5).\nAnswer: -4968*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -15.3912 rounded to 1 dp?\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -44048 divided by -22024\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001745167882 rounded to six decimal places?\nAnswer: -0.000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -80*b = -76*b - 76. What is the remainder when 61 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -9*z + 2. Suppose 7*j = -5*j + 2136. Let w = j + -180. What is g(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 3*v + 3679 + 1841, 3298 = 3*y - v. Let l = y - 675. List the prime factors of l.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 7, y: 5, r: 5, d: 1}. Give prob of sequence dyry.\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 12 = 4*n, -10*t + 5*n = -8*t + 21. Let b(o) = 733*o**3 - 3*o**2 + 4*o - 5. Is b(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -5*d + 7. Let z(r) be the second derivative of -7*r**3\/6 + 9*r**2\/2 + 10*r - 5. Let n(p) = 6*x(p) - 5*z(p). What is n(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by 14.\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/187 and 75\/223142.\nAnswer: 2454562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 161, 147, 115, 59, -27, -149, -313?\n\"Answer: -b**3 - 3*b**2 + 2*b + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 1\/12, -3, 1.4, -6?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.07 + -7814.726.\nAnswer: -7814.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 7 - 9 = -g, -2 = 4*x - 2*g. Let q(d) be the first derivative of 65*d**3\/3 + 3*d**2\/2 + 2*d + 2. What are the prime factors of q(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11411 by -2.\nAnswer: 11411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15034 - 15030. Solve -4*j = 12*y - 11*y - 16, -j + 4 = o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2*f)*(-f - 3 + 3) + f - f + f**2)*(184 - 436 - 10)*(3 + 1 + 0*f - 2*f).\nAnswer: -524*f**3 + 1048*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 848, 14217, 56354, 143507, 291924, 517853, 837542?\nAnswer: 1267239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -43*d + 39*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 4:54 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -410a + -c65?\nAnswer: -4d6f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*s**2 + 454*s**2 - 2 - 145*s**2 to k*s + a*s**2 + p and give a.\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 3*c**3 - 245*c**2 - 82*c + 9. Calculate w(82).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 12*l**5 - 3656*l**4 - 8584*l**3 - 3696*l**2 + 3676*l + 2456 = 0?\nAnswer: -1, 2\/3, 307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 18517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6*h**2 - 5*h**2 - 46*h + h**2 + 37*h wrt h?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 636.4 - 632.4. Let u = 0.08 - -0.04. Let p = 0.27 - u. What is the biggest value in c, 2\/7, p, -2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 + 6*i + 2. Let c be x(6). Suppose 0 = -5*f + c*b + 45, -3*f - 4*b = -4*f + 9. Let l = 2 + f. What is the remainder when 29 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.1  (b) -3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1088 and 53992?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-4)\/(-6))\/((-2)\/(-3)). Let m(w) = -w**3 + 90*w**2 - 69*w - 1776. Let u be m(89). Solve -d = x - u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13280351507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*q + 29 = 197. Let f(z) = 2*z**2 + z + 2. Let g be f(-1). Solve g*m = 3*d, d + 4*m - q - 13 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1867 is divided by 566.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4*u + 6*u - 3*u)*(-8 - 6 + 5) - 1996 + 1996 - 489*u)*(-1 + 0 + 2) to v + x*u and give x.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**3 - 8*q**2 + 7*q - 12. Let g be v(-9). Let h = g + 0. Let a be h + 0 + -4 + 1. Solve a*r - 3*n + n = -3, 2*r + 5*n + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 336*p - 47389. Determine j(141).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3*(sqrt(75) - (sqrt(75) + 0 - sqrt(75)))*3 - (sqrt(27) + sqrt(27) + 1 + sqrt(27) - (sqrt(12)\/sqrt(4))**2*-2))*-5.\nAnswer: -105 + 540*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**3 - 6*s**2 - 5*s - 5. Let g be h(7). What is the highest common divisor of 63 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (10 - (-616)\/(-55))*10\/4. Sort p, 1, -2, 4 in decreasing order.\nAnswer: 4, 1, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13365 + -7652. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 8*v - 20. Let h be x(5). What are the prime factors of 116 + 3 - h\/(-5)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of y**7\/42 + 11*y**5\/5 + y**4\/12 - 43*y**3\/6 - 8*y - 6. What is the third derivative of h(w) wrt w?\nAnswer: 60*w**2 + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*n**2 - 46*n**2 + 8*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.13 - -0.13. Let p = 0.0646 + 27.6354. Let n = -28 + p. Which is the closest to n?  (a) f  (b) 0  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58329 - 143.88.\nAnswer: 58185.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 8 = -0*t. Suppose 22*g = 27*g - 20. Suppose -g*c + 0 = r - 16, 5*c + 1 = t*r. Solve 2*f - 16 = 6*f + 4*m, -f = -2*m + r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 4*f**3 + f**2 + 42*f + 13. Let q(y) = 7*y**3 + y**2 + 82*y + 24. Calculate -5*j(m) + 3*q(m).\nAnswer: m**3 - 2*m**2 + 36*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -16 + 83\/2*i**2 + 5\/2*i**3 + 23*i = 0?\nAnswer: -16, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, 54, 87, 120?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 140 and 3967240.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 348 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.9, -2, -5, 0.7 in decreasing order.\nAnswer: 0.9, 0.7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 185666 + 21?\nAnswer: 185687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let w = 5407.55 + -66.55. Let y = w + -5332.9888. Let z = 8 - y. Round z to 3 decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 20.0538 and 0.08.\nAnswer: 1.604304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -168568*t - 1854264. What is s(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 567, -673, -3721, -8577, -15241, -23713?\nAnswer: -33993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001783 rounded to five dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 43368846, 43368850, 43368854, 43368858?\nAnswer: 43368862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5782.777 centuries in years?\nAnswer: 578277.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11879 + 21480. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 7 - 8 = 0. Suppose 0*z - 30 = 3*z. Let j = 15 + z. Which is the third biggest value?  (a) w  (b) 2\/7  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 281.722 kilometers in micrometers?\nAnswer: 281722000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11719086?\nAnswer: 2, 3, 17, 19, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-1\/3))**(-2\/105)\/(f**(-2\/5)\/f**(-3\/8)) assuming f is positive.\nAnswer: f**(31\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 6*y + 34. Let o be s(-19). Is -80 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (18\/21)\/(1\/42). Let l be 1\/(-2) - (-5 - g\/(-8)). Suppose 8*f - 3*f - 335 = l. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21802 and 344.\nAnswer: 3749944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + 3 + (2 + 1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*z**3 - z - 2*z**3 + z**3)*(-94411 - 142*z + 94411) in the form p + y*z**4 + x*z + a*z**3 + c*z**2 and give c.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/29, 39, -2\/51 in ascending order.\nAnswer: -2\/51, -1\/29, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16816*j**5*t - 83*j**3*t**2 + 14*j*t**2 + 4*j*t + 2*t**2 + 35*t - 4 wrt j?\nAnswer: -336320*j**3*t - 498*j*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 2*s**3\/3 - 1. Let v(p) = -5*p**2 + 20*p - 80. Let t(n) = -n + 4. Let l(d) = 20*t(d) + v(d). What is l(a(x))?\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -91*h + 5002. Let y be f(55). Sort 767, -1, y in increasing order.\nAnswer: y, -1, 767","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32819.6 times 0.1?\nAnswer: 3281.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f - 3*f + 3*f)*(10 - 8 + 6*f**3 - 14*f**3 + (2*f + f - f)*(0*f + 0*f - 2*f**2) - 5*f**3 + f**3 + 3*f**3).\nAnswer: -26*f**4 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -792747, -3171005, -7134769, -12684039, -19818815?\nAnswer: -28539097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -215 + 233. Calculate the least common multiple of 310 and v.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -s - 4*s + 3*t, 5*t = 2*s - 27. Find the third derivative of 2*u**3 + s*u**3 + 15*u**2 + 12*u**3 - 2*u**3 wrt u.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 49*h - 150 + 526*h + 150 - 1 - 2*h + 1 + 5 - 5 - h + (h + 4*h - 3*h)*(-1 + 2 + 1).\nAnswer: 576*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -4*g**5 - 10*g**2 + 7. What is the second derivative of s(z) wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.23 and -0.08706.\nAnswer: 0.0200238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 114329136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2  (b) 52  (c) -2\/15  (d) -4\/5  (e) -8173  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 158, 169, 192, 233, 298, 393, 524, 697?\n\"Answer: x**3 + 4*x + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 423 and 564.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -2*q + 4*q - 7 - q. Suppose -5*d = 2*d - 84. Suppose 22 = 2*u + d. Determine y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -q**8\/70560 - q**7\/5880 - q**6\/1260 - q**5\/15 + 4*q**2. Let z(l) be the third derivative of t(l). What is r in z(r) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 26569 + -11646. What is the ten thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41594, 41597, 41600, 41603, 41606, 41609?\nAnswer: 41612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -17, -41, -65?\n\"Answer: -24*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 55386 is divided by 18368?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of 3*j**5\/10 + j**4\/4 + 3*j**3\/2 - 11*j**2\/2 + 6*j. Is d(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -59, 13, -23 in increasing order.\nAnswer: -59, -23, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -583\/1351039 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -15*o**3 + 9*o**2 - 67*o + 13. Let m(x) = 7*x**3 - 4*x**2 + 33*x - 6. Calculate 13*m(w) + 6*u(w).\nAnswer: w**3 + 2*w**2 + 27*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4548.42 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/2)\/(117\/312).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k + 18*k = 48. What is the lowest common multiple of 156 and 2 - 3\/((-12)\/k)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l = -3*l + 16. Let j be -3*(l + 2626\/1314). Is -1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*v - v**3 + 18*v + (8*v - 3*v - 3*v)*(4*v**2 - 5*v**2 + 3*v**2) + (4*v**2 - 4*v**2 + v**2)*(0*v + v - 2*v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.08 and 12006090841683.\nAnswer: 12006090841682.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 283111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 528 - 528.131. Let m = -0.231 - u. Which is the nearest to -1?  (a) 4  (b) -9  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/4)\/(3\/66). Let x = a - -13. Suppose 3*b = -2*q + 11990, b - 6*q + x*q = 4020. Round b to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 + -10. Suppose u*k - 42 = -347. Let l be k\/(-5) + (-3)\/15. Solve l = -3*n - n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, q: 4}. What is prob of sequence qw?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*4\/(2 - -2) - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7221 - 7143 = -19*k. Is 15 a factor of 1*-4 - (-8 - k) - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000100 (base 2) to base 15\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/o**5))\/o)\/(o**(1\/10)\/o))\/(o**(-4)\/o**(-2\/9))*(o**2*o)\/(o**(-3\/2)*o)*(o*o\/((o**(-2\/3)\/o)\/o*o))\/(o**(4\/3)*o) assuming o is positive.\nAnswer: o**(608\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47022 is divided by 47019?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/15  (b) 36\/11  (c) 0.11  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 892035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of v**6\/80 - 3*v**5\/160 - v**4\/16 + 24*v. Factor u(z).\nAnswer: 3*z**2*(z - 2)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 - -0.238. Let t = -1.038 + u. Suppose 5*x + 0*x = 2*v + 39, 5*v + 81 = -4*x. Which is the nearest to v?  (a) t  (b) -0.5  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18763 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n**3*o*u + 52965*n**3*u**2 + n**3*u + 140*n**3 - n**2*o*u + 12*n**2*o - o*u**2 wrt u?\nAnswer: 105930*n**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7050 is divided by 219?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**3 - h**2 + h**2)*(h + h - 3*h) + 18*h**4 + 2*h**4 + 3*h**4.\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (((sqrt(208) + ((sqrt(208) - sqrt(208)*1)*1 - sqrt(208)))**2 - sqrt(208))*5 - (sqrt(39) + sqrt(351)*-2)\/(1*sqrt(12)\/sqrt(4)))*-4.\nAnswer: 2 + 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -80*j - 1. Let z be i(0). Suppose 0 = 5*y - 3*t - 2, -4*y = t + t + 16. Let r be (y - -5) + 0 + -7. Put -2, z, r, 8 in descending order.\nAnswer: 8, z, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 625 + 5170?\nAnswer: 6015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 126 - 27. Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 3*h. Let x(i) = -i**2 + 2*i**2 + 3*i**2 - 5981*i + 5995*i - i**2. Determine x(r(p)).\nAnswer: 27*p**2 + 42*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.398 + 0.102. Let i = 2792 - 2796. What is the biggest value in 1\/5, i, c, -0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4 + 4*a**2 - 5*a**2 - 5*a**2 - 6*a + 5*a**2. Let b be (10\/(-6))\/((-2)\/18). Suppose -b = d - 2*u, -5*u = -5*d + 20 - 70. Calculate o(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from attttyyat. Give prob of sequence tyt.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/((4840\/12)\/(-11)). Let a = -2 - -2. Which is smaller: a or i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 j, 1 w, and 1 z when four letters picked without replacement from {r: 1, j: 4, b: 5, v: 2, z: 1, w: 7}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*i + 10*i - 3*i as r + j*i and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2677 or -2676?\nAnswer: -2677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -18, -56, -88, -114?\n\"Answer: 3*q**2 - 47*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 91209.6nm?\nAnswer: 0.00912096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -11245, 0 in ascending order.\nAnswer: -11245, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -182024*r - 211037*r + 142454*r - 239373*r.\nAnswer: -489980*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 17. Let k = 14 + f. What is the closest to 0 in k, 1\/7, 1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 221752 divided by -31?\nAnswer: -221752\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 AM and 4:32 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 216\/(-6)*(-18 - 0)\/2. Let x be (30\/100)\/((-2)\/r). Let y = x - -3387\/70. What is the common denominator of y and -151\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12.381 and 0.4.\nAnswer: -4.9524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1092)\/(-91)*-2*6\/60?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 13\/2. Let q = -2 - j. Does q = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((100\/110)\/5)\/(1 - 0)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -43175*b + 0 - 2 + 11*b**4 - 13*b**4 + 43175*b - 7*b**2 in the form z + d*b**2 + w*b**4 + p*b + g*b**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 544354.\nAnswer: 2, 47, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*p - 5. Suppose -p*h + 11 = -2*d, -d - 1 + 0 = -h. Solve 2*v + 18 = 5*r, -4*v - 2*r = -h*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 + 49*y + 523. What is w(-30)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2569954302 to the nearest integer?\nAnswer: 1370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2805820 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43 - 60 + 28)*(20*w + 39 - 39)*(-3*w + 6*w - 2*w)*(-6 + 0 + 4).\nAnswer: 3000*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j**2 + 111*j - 108 = 0. Calculate j.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18061714\/47067 + -1919921516831\/5104792686. Let l = m - 1\/7747. Let w = -704807\/77240 - 1\/9655. Calculate the common denominator of l and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**3 + 18*r**2 + 2218*r - 19971. Give a(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 - 53. Put 0.3, 0.4, -1, a in ascending order.\nAnswer: -1, 0.3, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 21 and 3.43?\nAnswer: 17.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 154229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 316234.8l to millilitres.\nAnswer: 316234800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16310270 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*p - 199 - 65 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 29919b (base 15) in base 10?\nAnswer: 2005121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 15 = 0, -424*i + 425*i + 5*a = 30700. What are the prime factors of i?\nAnswer: 3, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 236.46453 months?\nAnswer: 1.97053775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -4*o**3 + 36*o**2 - 36*o + 36. Let i(h) = -h**2 + h - 1. What is 144*i(p) + 4*l(p)?\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or -242.02?\nAnswer: -242.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 AM and 9:18 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jhhghhghhjgh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 232 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -31. Suppose -2*o - o + b = 0. What is the derivative of o*a**3 - 2*a**3 - 9 - 7 + 7 wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*f - 5805 + 5799 = 12*f - 3*w, -5*w - 120 = 35*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes before 1:25 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 101111011111100100100?\nAnswer: 101111011111100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 + -2. Suppose 0 = -0*b + 2*b - 10. What is the least common multiple of u and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43437883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 684*z + 5598 + 1242 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 111 = -2*c. Let i = 614 + -609. What is the remainder when c is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*m - m + 280 = 0. Suppose 7*f - m*f + 308 = 0. Calculate the greatest common divisor of 88 and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q = -7*q - 3. Let h = -131 + 136. Solve 17 = h*w + 2*x + 52, 5*w + q*x + 40 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 9, 732 in ascending order.\nAnswer: 1, 9, 732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*c**3 - c**2 + 6*c**3 + 7 + 14 + c**3 as t*c + y*c**2 + b + l*c**3 and give b.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -11*x**2. Suppose -2*t = 3*t - 3*y - 16, 2*t - 2*y = 8. Let b(q) be the first derivative of 0*q**t - 2\/3*q**3 - 5 + 0*q. Determine b(o(m)).\nAnswer: -242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (480\/(-128))\/(2*(-1)\/(-96)). Let d = 314 + c. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, -3, -1\/9, 2\/705, 5?\nAnswer: 2\/705","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 - (30 + -127 - -96)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 156 and 223296.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-35729276)\/(-396) + (-42)\/(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/((-10)\/(-4)) - 13. Let y = -7 - u. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -88 + 265\/3. What is the biggest value in -2\/7, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -59*i + i**2 + 35*i**4 - 25 - 69*i + 128*i to r*i**4 + q*i**2 + g*i**3 + h*i + v and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 AM and 4:00 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7, 86, 195, 322, 455, 582, 691?\nAnswer: 770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -16665 smaller than -16716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7249.12 - 7249. Put 2\/11, 0.3, 0, i, -1 in increasing order.\nAnswer: -1, 0, i, 2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 46 + -6. Suppose -y = -2*y + 115. Suppose -39*o - y = -n*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-2408)*(45 - (-37 + 75)).\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-15) - (-18)\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2\/63637 + -2354685\/3690946. Find the common denominator of ((-14)\/16)\/((-45)\/468) and g.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (66*m - 33*m - 49*m)*(-4*m - 6*m + 2*m).\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(2 + -3) - -2) + -2. Let z(h) = h**3 - 6*h + 9. Let t be z(j). Put 11, t, 2 in descending order.\nAnswer: 11, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -293, -657, -985, -1277?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12, 19, 36, 33, 4, -57?\n\"Answer: -i**3 - i**2 + 41*i - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 146 = -l + 142, 0 = -2*l - 12*y + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, -30634, 1.\nAnswer: -30634, -6, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -30, -5, 4.\nAnswer: -30, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c - 4. Let n be z(6). Suppose -n*j + 4*j = 6. What is v in -6*v**j - 2*v**3 + 4*v + 0*v - 2*v**3 + 6*v**2 = 0?\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 11. Let n be u(4). Let z(j) = -3*j - 7. Determine z(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(2 + -6 + -1). Let i(h) = h**2 + h. Let x(m) = 7*m**2 + 7*m - 1. What is l*i(q) + x(q)?\nAnswer: 2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 261*v + 5209. Give p(-23).\nAnswer: -794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32 and 703033280.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-6\/13)\/(s*s\/((s\/s**6*s)\/s))*(s**(-3))**44 assuming s is positive.\nAnswer: s**(-1813\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = h - 2, -5*h = 2*o + 5 + 9. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + 0. Let m(a) = -a**3 + 8*a**2 - 8*a + 4. Let w be m(l). Is 7 a factor of (1*w)\/(9\/(-42))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 360 and 432?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -460*j + 921*j - 460*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = 4*h, 52*g = 54*g - h - 0*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000047854 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 1.88. Let a = b + 0.08. What is the second smallest value in a, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the second derivative of 7*x**5\/20 + x**4\/12 + x**2\/2 + 23*x. Let k be b(-2). Let j = -44 - k. Solve t - 17 = -3*h, 2*t + h = t + j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 12 = t. Suppose -3*s = 2*a + 2, s + t = -3*a + 7. What is the smallest common multiple of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-31 - -28) + (-4 - -18) + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2\/8774207 - 17987134856\/46090909371. Let k = d + 20\/103. Let r = 1\/34 + k. What is the nearest to -1 in r, 2\/17, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, a: 4, t: 2}. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 105826 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(7) - sqrt(7))*5 + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 36546223?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/66 and -101\/493638.\nAnswer: 5430018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 - 122*d + 2703. Let q be z(93). What is the smallest value in 17, 4, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (84\/238)\/(375\/93500)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4909.\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 141871860 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 h = -58 + 58.4. What is the second biggest value in -2, h, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -127445, -254887, -382331, -509777, -637225, -764675, -892127?\nAnswer: -1019581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 332 = -204. Let k = -87 - r. What is the remainder when k is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u + 2. Let s be g(0). Suppose 1 + 7 = s*i. Let r(l) = 2*l - 5. Let j be r(i). Which is the second biggest value?  (a) 0.1  (b) 5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 20*q + 1. Give l(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1738.03527 + -1738. Round u to 3 decimal places.\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -63357 divided by 431\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -1031*z**2 - 57*z - 19. Let v(l) = 343*l**2 + 18*l + 6. Calculate -6*t(c) - 19*v(c).\nAnswer: -331*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-2) + ((-564)\/24 - -22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z = -2*i + 4*z - 4, 2*i - 4*z - 14 = 0. Let y be (-5 - (-5 + -1))\/(i\/(-2)). Which is the fourth biggest value?  (a) 0.2  (b) -1\/155  (c) 0.4  (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 6*h**2 + 14*h + 5. Let a be f(11). Suppose 5*g - 3*n - 4421 = 0, 2789 = 4*g + 3*n - a. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3*f**3 - 173*f**2 + 79*f + 1216. Give x(-58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of y**4\/12 + 7*y**3\/6 + 2*y**2 - 2*y. Let v(m) = -m**2 - 4*m + 7. What is the lowest common multiple of l(-9) and v(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*y + 15. Calculate the remainder when 2336 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 4*g. Let d(i) = i**2 - 4*i - 1. Let j(c) = 3*d(c) + 4*w(c). Let x be (-2 + 4 + -8)\/(-1). Let y be ((2 - x)*-1)\/2. Determine j(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 3*n = 31, 2*q + 54*n - 56*n = 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or 100?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3\/4 - 33*l**2\/4 - 225*l\/4 + 10625\/4.\nAnswer: (l - 25)**2*(l + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -486 - -490. Suppose b = -5*c + 999, -3*b - r*c + 3290 = 271. What are the prime factors of b?\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 816 - 820. Let o = 0.7 + -0.4. Let y = o + 0.7. Put y, m, -0.05 in decreasing order.\nAnswer: y, -0.05, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17429 is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 5) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)\/sqrt(4) - (sqrt(2) + -1*1*sqrt(2))) + -5 + sqrt(6)\/sqrt(3) + -5)**2.\nAnswer: -100*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 12, c: 7}. Give prob of sequence hhch.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003211927 to five dps.\nAnswer: -0.00321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -449*f + 350*f = 330 + 363 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35 - 16. Let l = -15 + j. Suppose 12 = -0*p + 2*p. What is the remainder when p is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 208701 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -2\/11  (b) -6.5  (c) 4\/7  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -17871.51 * 5\nAnswer: -89357.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1528, 1\/3 in increasing order.\nAnswer: 1\/3, 1, 1528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**5\/5 - 2*c**4\/5 + 2*c**3\/5 + 8*c**2\/5 + 7*c\/5 + 2\/5 = 0. What is c?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 d when three letters picked without replacement from tdtdtdwdztydytdd?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 6 - 2)*(3 - 3 + 2*j) + 1 - 1 + j)*(9 + j - 9).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = m - 0*m - 5, 2*m + 18 = -5*l. Let d be l\/((-10)\/(-8) - 6\/4). Calculate the highest common factor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.9 - -0.8. Let f = h - 7. Which is the third biggest value?  (a) -1\/5  (b) f  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -u**5\/30 + 9*u**2. Let d(v) = -v. Determine w(d(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.66 - 3.72. Let f = -40\/63 - -7\/9. What is the second smallest value in f, s, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23394 + -8944. Does 38 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -3*f**2 + 14*f - 5. Let t be i(3). Find the common denominator of 218\/36 + -12*t\/(-540) and 149\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 186550 and 2600.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 198870.\nAnswer: 2, 3, 5, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 2)*(-5 + 4 - 1)*(38*s - 279 + 279)*(-s - 2*s + 2*s).\nAnswer: 76*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 5*k - 2. Let y(o) = -2*o**3 + 249*o**2 - 1420*o - 7. Let r be y(6). Solve r*g = -3*f, -2*f - k*g = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18)\/(-4)*(-40)\/15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7380, 14698, 22034, 29394, 36784?\n\"Answer: l**3 + 3*l**2 + 7302*l + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 14 + -18 + 24 + 51\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from befabezbzhbeeeebz. Give prob of sequence hab.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -1 + -8 + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -16 + (0 - -11 - (-31 - -11 - -21))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 11, o: 2}. What is prob of sequence oo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g + 2*g + 13*g**2 - 5*g - 357*g**2.\nAnswer: -344*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 30140243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to -6\/433007?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -5*v**8\/168 - 11*v**7\/42 - 3*v**6\/4 - v**5\/3 + 5*v**4\/3 + 3*v**2. Factor n(p).\nAnswer: -5*p*(p + 2)**3*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1609479?\nAnswer: 3, 178831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -2, -64, 4, -282.\nAnswer: -282, -64, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 54081324 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9\/2?  (a) -0.5  (b) -30  (c) 2  (d) 12  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/126 and 29\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -12  (c) -3458\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 97 - 89 = 2*f, 4*f + 16 = 2*j. Solve j = m + o, -20 = -6*o + o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 336529980 to the nearest integer?\nAnswer: 18345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -424*k - 60224. What is j(-142)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-15)\/(-10)*(-8)\/(-3). Let v(j) = j**3 - 3*j**2 - 2*j - 2. Let c(b) = -b**2 - 5*b + 3. Calculate the lowest common multiple of c(-5) and v(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-404)\/101 - (1 - 7). Suppose 0 = -5*q + l*c - 345381 - 29615, q - c = -74998. What is q rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -114*r - 133*r**2 + 203*r - 88*r to the form a + t*r + b*r**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -26 - -29. Suppose -z + 3*v + 11 = 0, -5*z - 7*v + m*v = 2. Calculate the remainder when (4 - 2) + 19 - z is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + x - 95 = 0, -x - 80 = -q + 3*x. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 343*d + 4 = 347*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 + 7*y**2 - y + 5. Let r be d(-7). Let z(c) = -c**3 - 18*c**2 - 3*c + 7. What is the remainder when z(-18) is divided by ((-6)\/(-8) + 1)*r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 128 + -116. Sort q, -0.1, 1\/9.\nAnswer: -0.1, 1\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -247*o + 48. Let s(t) = 123*t - 26. What is -6*j(p) - 11*s(p)?\nAnswer: 129*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - l + 30 = 0. Let p(u) = 11 - 2*u**2 + 5*u - 4*u + 3*u**2 + 6*u. Calculate the remainder when p(-8) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 1 + 2)*(-3 + 2 - 2)*(18*l + 19*l - 40*l) to k*l + c and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 33420 divided by -4\nAnswer: -8355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qoqqqqqqqqo. Give prob of sequence qqo.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 5*j = 15, -32*g + 36*g - 3*j + 9 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -312*v**2. Let r(p) = -169*p + 75*p + 92*p. Calculate r(c(k)).\nAnswer: 624*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-111)\/(-222)*1\/(-2)*26\/(-143).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 846455?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19854051?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7131, -7135, -7141, -7149, -7159?\nAnswer: -7171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -277*f - 818 + 2651 = -316*f for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 117141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 669, 1403, 2205, 3075, 4013, 5019, 6093?\nAnswer: 7235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*k + 36 = -6*k. What is the closest to -2\/13 in 0, 4, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**4\/19 + 2450*v**3\/19 + 77872*v**2\/19.\nAnswer: -2*v**2*(v - 1256)*(v + 31)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 737\/69 - 261\/23. Let v be 1\/(0 - (-10)\/(-2)). What is the nearest to -0.1 in j, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - 29 - (176 + -242) - -58.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -6. Let b = -979 - -976. Put b, -5, j in ascending order.\nAnswer: -5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/(-25))\/3*1305\/(-609).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29596 to the power of 1\/2, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(((-18)\/12)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -58352 + 0.3?\nAnswer: -58351.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 167512*q**4 + 2*q**3 - 123*q**2 + 390811183*q - 1 wrt q.\nAnswer: 2010144*q**2 + 12*q - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-310)\/868)\/((-1)\/7*1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -2  (b) -3\/7  (c) -32  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 4 = 2*g, -20*i + 17*i + 3 = 0. Solve -2*f - 7 = g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -t**6\/40 + 29*t**5\/80 - 5*t**4\/24 - 3*t**3 - 1173*t. Suppose n(i) = 0. Calculate i.\nAnswer: -4\/3, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1017681 and 763.\nAnswer: 110927229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3943375.\nAnswer: 5, 31547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -338 (base 11) to base 5\nAnswer: -3104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r + 13. Let q be 9\/6*(-24)\/(-9). Let v(d) = -6 + d - q + 17. What is -11*v(t) + 6*y(t)?\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 9*z - 7. Let y be a(1). What is the derivative of 330*u + 140 + 3*u**y + 329*u - 661*u wrt u?\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m + q - 608, -4*m + 4*q - 253 + 861 = 0. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/14282 and -43\/71410.\nAnswer: 71410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 21247308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*m - 350 - 189 = 77*m for m.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -48, 3 in ascending order.\nAnswer: -48, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-3\/7)*m**(-9\/5)*m\/m**(-6\/7)*((m\/(m\/m**(8\/5)))\/m)\/m*m)**(2\/77) assuming m is positive.\nAnswer: m**(16\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 421344 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14\/(-105))\/((-35)\/(109200\/384))?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a + 12*a = -2*p + 10, -p + 11 = -4*a. Suppose -t = -3*h - 3*t + 16, -t = -h - p. Solve -f = 0, 7*c - h*c - 2*f - 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, p: 1, s: 2, x: 6, n: 2}. Give prob of sequence px.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*j**5\/13 + 706*j**4\/13 - 1726*j**3\/13 - 4700*j**2\/13 + 3512*j\/13 - 560\/13 = 0.\nAnswer: -2, 1\/4, 2\/5, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1151, 2258, 3317, 4322, 5267?\nAnswer: 6146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.678 take away -0.039847?\nAnswer: 13.717847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2347338 and -1715.498.\nAnswer: -2349053.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and 121874.\nAnswer: 60937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 27, 30, 41, 66, 111, 182?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(1088)*-2)**2 + -2.\nAnswer: 26110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + -731380.\nAnswer: -731380.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 330 is divided by 56.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1125, 2240, 3379, 4554, 5777, 7060?\nAnswer: 8415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11161 is divided by 104?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes before 3:12 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -162*f + 18. Let i(h) = -4*h + 1. Calculate -90*i(v) + 5*j(v).\nAnswer: -450*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7.92 > 120.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 12065 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m and 1 k when four letters picked without replacement from {k: 1, m: 5, q: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of -m**6\/40 + m**4\/12 - 3*m**2\/2 + 1. Let o(p) be the second derivative of s(p). What is the second derivative of o(h) wrt h?\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*k - 1327 = 2543. Let y = -48 + k. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 0*z = h - 9, 2*z + 3 = -h. Suppose -4*g + 2*p + 94 = 4*p, 5*g - 140 = h*p. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 353183003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x**2 - 4*x**2 - 3*x**2 + 5*x**2. Let b(u) = u**2. Let r(v) = 3*v**2. Let s(k) = 2*b(k) - r(k). Give j(s(i)).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + 1. Suppose -h*i - 6 + 2 = 0. Calculate the remainder when 30 is divided by 14 + 6\/(-3)*i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 781310 divided by 13?\nAnswer: 781310\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 157, 175, 205, 247, 301?\n\"Answer: 6*l**2 + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(121) + sqrt(121) + -3*sqrt(121)*-5)*5)\/((sqrt(363)\/(2*sqrt(11)))\/((sqrt(9)\/sqrt(3) + sqrt(3))*-3)).\nAnswer: -1020*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*v**3 - 34*v**3 + 5484*v + 8*v**3 + 17*v**3 - 5484*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h + 4. Let d be -2*(45\/6)\/3. Let z be t(d). Let s be ((-18)\/12)\/((-39)\/4). Which is bigger: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3ee (base 16) to base 6.\nAnswer: 4354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -111*o**2 - 395270*o - 403224402.\nAnswer: -222*o - 395270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37806 + -22255. List the prime factors of n.\nAnswer: 15551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*k - 4*g + 4, -50 = -4*k - 2*g. Let s(l) = -2*l**2 + 30*l + 2135. Let y be s(41). Solve 0 = k*o + o - y*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q and 1 y when four letters picked without replacement from ynnnyyqn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = g**3 - 3*g**2 - 3*g - 3. Let y = -24 - -28. Determine z(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -625*w**3 + 572*w wrt w.\nAnswer: -3750*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 728772.\nAnswer: 2, 3, 11, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 209 + -207. Suppose 25 = h*m - 3. Suppose 0 = 3*u - 0*u - 5*j - 94, u - 3*j - 38 = 0. What is the remainder when u is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 151384*d**3 - 109963 wrt d?\nAnswer: 454152*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rprp when four letters picked without replacement from {r: 12, p: 6}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -29 + 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 258 = -2*p, -3*y = -6*y - 5*p + 130. Suppose 0 = -8*w + 3*w - y. Let m = w - -13. Solve -4 = -a + m*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -79 greater than or equal to -90?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 592*t**2 + 2*t + 5. Let x(n) = 9471*n**2 + 34*n + 82. Give -33*k(h) + 2*x(h).\nAnswer: -594*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28790, 28675, 28374, 27797, 26854, 25455, 23510, 20929?\nAnswer: 17622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 12619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(105)\/(sqrt(3)*1))\/sqrt(5).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6827666999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from oododdd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, g: 7, c: 2, t: 1, u: 4}. What is prob of sequence gqqc?\nAnswer: 1\/1560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2 - 2. Suppose -k = -2*i + 8. Suppose n - i - 13 = 0. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7803960667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -3*b**5 + 27*b**4 - 21*b**3 - 27*b**2 + 24*b = 0?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 3*j - 6. Suppose 15 = 5*k - 15. Does 6 divide g(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 19 = -107*u + 55*u + 49*u, -3*g = 2*u - 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 377.579ml to litres.\nAnswer: 0.377579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.011 - -0.008. Let a = -0.281 - i. Let c = 1.8 - 2. What is the smallest value in c, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 146 - 143. Solve -n + 4*p = -0*p + 2, -r*p + 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 37 + -35. Let a be (-6)\/(-27) - (-17)\/(-36). Put a, p, -5 in ascending order.\nAnswer: -5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 36841, 36848, 36857, 36868, 36881?\n\"Answer: y**2 + 4*y + 36836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4797, -8298, -14127, -22278, -32745, -45522?\n\"Answer: q**3 - 1170*q**2 + 2*q - 3630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -284344 divided by -35543\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 10*w. Let p = -39 - -141. Let t(s) = 205*s - p*s - 102*s. Determine u(t(l)).\nAnswer: -l**2 + 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 4. Let l(z) = 8*z**3 - 15*z**2 - 6. Let w(a) = a**3 - a**2 - 1. Let r(u) = q*l(u) + 6*w(u). What is the third derivative of r(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -728*k**2 - 721*k**2 - 908*k**3 + 1449*k**2.\nAnswer: -908*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -0.0032.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-15) - (1400\/3150 + (-161)\/45). Suppose 3\/2*t**2 - 3*t + 0 + 3\/2*t**n = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -51 (base 10) to base 8.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5227.5 - -6132. Round c to the nearest ten.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -50.9086832 - -26.90868276. Let j = -23.78 - 0.22. Let z = j - p. What is z rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/213, -1452, -0.5, 0.01 in ascending order.\nAnswer: -1452, -0.5, -1\/213, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 452890000 to the nearest 1000000.\nAnswer: 453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j**3 + 7*j**2 + 34*j + 5. Let s be t(-6). Let v = -941 + s. What are the prime factors of v?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*x = -24*x - 28*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/50 and 109\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4559492266 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 p = 3882 - 3849. Calculate the highest common factor of 4147 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 16 in -3\/2, 4, -73, 2\/11, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 154566 and 26038.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.083078 and -0.032?\nAnswer: 0.002658496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 262218597?\nAnswer: 3, 59, 151, 9811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17112591589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 7 + 4)*(-3*m + 2*m + 5*m) to c + l*m and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0, 0.1, 2.\nAnswer: -0.5, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ldllddrrddddddddd. Give prob of sequence rrdl.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-5)\/30 - (-5162)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 18 = -w. Calculate the greatest common divisor of w and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210 and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -1 + -211 + 205?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3422 - 3422.18. What is the closest to 0.1 in k, -1\/8, 1\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 973, 950, 859, 664, 329, -182?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 4 + 4*n + 11*n + 7*n**3 - 19*n**2 - 12*n = 0.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -27\/35147 and -12?\nAnswer: 35147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.038150653358 + -5.516\nAnswer: -5.477849346642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(4\/1))\/((-65)\/52).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2*w**4\/15 - 28528*w**3\/15 + 17122*w**2\/3 + 114136*w\/15 = 0.\nAnswer: -14267, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3 + 6 = 0. Suppose -39 = -f*n + 33. Let m = n - 10. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -154, -152, -150?\n\"Answer: 2*n - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -54*f**3*o**3 - 394*f**3*o**2 + 6*f**3 + 123*f + 3 with respect to o.\nAnswer: -162*f**3*o**2 - 788*f**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 20*s**2 + 26*s - 22. Let y be x(20). Let l = y - 490. Solve -4*m - 2 = 3*z, 0*z = 3*m - z + l for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**0)**31*(k*k*k**(-5\/6))\/(k*k**(3\/10)) assuming k is positive.\nAnswer: k**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 5  (b) -1  (c) 4  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 17 = -z, -549*v + 550*v + 2*z - 5 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (72\/3)\/(-6)*(-308)\/(-56)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -96695, -194183, -291681, -389195, -486731, -584295, -681893?\n\"Answer: -u**3 + u**2 - 97484*u + 789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/86570 and 19\/755?\nAnswer: 13072070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0002438 rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47192 divided by -1388.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times 59?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(0 + sqrt(500)))**2 - sqrt(500) - sqrt(500).\nAnswer: -20*sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*u**2 + 2*u**2 + 0*u**2 + (-1 + 1 + u**2)*((4 - 14 + 12)*(-4 - 1 + 6) - 6 + 3 + 1 - 2 + 1 + 2 - 61 - 27 + 42) in the form m + a*u**2 + c*u and give a.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 3452 = -434. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 1\/3, -18\/13, -1\/4, -2\/11, 0.3, 15259?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19192198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -343*i**4\/2 - 5243*i**3\/2 - 12369*i**2 - 12274*i + 27436.\nAnswer: -(i - 1)*(7*i + 38)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -121 - -64.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 AM and 1:58 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -5*i**2 + 13*i + 26. Let s be k(-3). Let c be 5*1 - (s - 153). Let d be -5*(2 + 68\/(-10)). Calculate the greatest common factor of c and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6*((-30)\/5)\/(-18))\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20908.\nAnswer: 2, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g + 71. What is the remainder when 35 is divided by w(26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 - 202 = -54*w + 499 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 2*y = -y - 510, -w = 3*y - 186. Suppose w*g - 160*g - 34426 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -h**4 - 8*h**2 + 48*h - 2 wrt h?\nAnswer: -12*h**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 654 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-35 - 11) + 7 - (10 - 13) - (-4 - 2)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 9*r**2 - 18*r - 26. Let l be o(-7). Solve l*g - b - 4 = 0, 5*b = -g - 0*b - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7934.1 at least as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 328937488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 8) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 754793 = 40*b - 39*b, -4*b = -2*c + 754802. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 21 = 5*g. Calculate the greatest common divisor of 105 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**5\/13 - 92*t**4\/13 - 504*t**3\/13 - 980*t**2\/13 - 62*t - 240\/13 = 0.\nAnswer: -40, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -415692.45 to the nearest 1000.\nAnswer: -416000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 453670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*y + 3*y - 15 - 5*y.\nAnswer: -2*y - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 1\/12  (b) -5  (c) 2\/69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 322 - 326. Let k(w) = -1. Let p(z) be the second derivative of z**3\/6 + z**2 - z. Let m(a) = g*k(a) + p(a). What is m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -53 times 182.28805?\nAnswer: -9661.26665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -73*r - 35*r - 98*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 409118\/7 + -58244. Let f = 201 - v. Let l = 36\/35 + f. Which is the closest to -1?  (a) -1\/6  (b) 0  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -10*d - 40. Let m be h(-10). What is the greatest common factor of 160 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 + 1*659\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2 + 637?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215769011 is divided by 5752?\nAnswer: 5739","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 365 + -363. Which is the closest to -1.6?  (a) 7  (b) o  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 3, l: 2}. Give prob of picking 3 u and 1 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w**3 - 5*w + 0*w + w**2 + w**4 + 49642 - 49659 as h*w**3 + b*w**2 + t*w + u*w**4 + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 43 - (-5 - (-19 + -19) - 18)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 45*y + 104 + 121 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + (2 - 5) + 6. Suppose 0 = -0*j - x*j + 498. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 6 + 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(2*sqrt(1088) + -5) + -3 + 3.\nAnswer: -10 + 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 10, 2.\nAnswer: -3, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -16*o - 4. Let v(u) = -25*u - 6. Let g(z) = 3*b(z) - 2*v(z). Let l(f) = 488*f. What is g(l(p))?\nAnswer: 976*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 3:32 PM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 3920 = -5*r, -t + 5640 = 5*r + 1728. Suppose -9*y = 8*y - r. What is the highest common divisor of y and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4 - ((-1)\/1 - -21). Is 9 a factor of (0 - -1)\/(y\/(-464))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, -3, 705396?\nAnswer: 705396","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/63, 0.06, -2\/13, 6, -1 in decreasing order.\nAnswer: 6, 0.06, -2\/63, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 969103 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.0443 rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, -261, -599, -1113, -1827, -2765, -3951, -5409?\nAnswer: -7163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -83*s**3 - 131*s + 2?\nAnswer: -498*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -2  (b) -35  (c) -0.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 72 - 73 = -5*m, -2*f - 10 = 0. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 - -1. Suppose y*z + 7 + 1 = 0. Does 9 divide (-2)\/((0 - z)\/(-64))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-1)*l)**(1\/24)*(l*l**(-1))**(1\/9) assuming l is positive.\nAnswer: l**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 41394 and 55192.\nAnswer: 165576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12193?  (a) 0.078  (b) 0  (c) 2\/9  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -182, -712, -1580, -2786, -4330, -6212, -8432?\n\"Answer: -169*k**2 - 23*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 11*u**3 + 2186930*u**2 + 108696683572*u - 19763105672.\nAnswer: (u + 99406)**2*(11*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/12)\/((-1)\/4). Let k(r) = -c*r - 4*r + r + 4 + 3*r. Determine k(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 504 and 89490.\nAnswer: 7517160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = -3*z + 22*w, -2*z - 214*w + 210*w = -0*z - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/12 - 46\/8. Let u = 6 + y. Suppose u = -5*r + 5*f, -2*f = -r + f - 2. Is r less than -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -4*q**2 + 16. Let y(w) = -3*w - 5. Let i be y(-7). Let g(h) = h**2 - 1709 + 5162 - 1704 - 1750. Determine i*g(c) + k(c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x**2 - 10*x**3 + 10*x**3 + 14*x**3 - 14*x - 8. Let f(l) = -5*l**3 - l**2 + 5*l + 3. Determine 8*f(g) + 3*o(g).\nAnswer: 2*g**3 + g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4955 is divided by 248.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1974694?\nAnswer: 2, 131, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3358691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4790 and 959331620?\nAnswer: 4790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 5*z**2 + 3*z + 1. Let n = -5 + 8. Suppose -n*w + 82 + 5 = 0. What is the remainder when w is divided by v(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13364.5184 rounded to the nearest 100?\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1270 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6178*b*q**3 - 2*q**3 - 12*q + 183 with respect to b.\nAnswer: 6178*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -3*k + 4. Let d(f) = f**3 - 2*f**2 + f. Let w be d(1). Is 4 a factor of c(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6061 - 6047. Suppose 5*p = -n - 49, 0 = -3*p - n - 4*n - 25. Let h be 5\/(-2)*16\/p. Solve 4*x + 7*s = 3*s + 12, h*x - d = -3*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2*p**3 + p**2 - 2*p + 6. Let i(h) = -h**3 + 74*h**2 - 280*h - 3. Let k be i(70). What is j(k)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - 164\/(-12)) + 24\/(-36)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 944219.5l?\nAnswer: 944219500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 845 - 841. Suppose -5*c + 245 = -s*i, -18 - 7 = 5*i. Solve 0*b - 9*b = -c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.0551 and 0.189389.\nAnswer: 0.244489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) -73\/4  (b) -25  (c) 4\/5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5947 is divided by 135?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 768*h**3 - 109267*h - 109254*h + 218521*h.\nAnswer: 768*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s + 2173*s**2 + 4*s**3 + 4*s - 2173*s**2.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 57638, 57459, 56994, 56099, 54630, 52443?\n\"Answer: -24*d**3 + d**2 - 14*d + 57675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, -294, 5, 3837 in ascending order.\nAnswer: -294, -3, 3, 5, 3837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3 + -3)\/1 - -3. Suppose 0 = -6*b + g*b + 101099988. Suppose 4*u = -z - 26959999, 0 = -6*u + u - 4*z - b. What is u rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of n**6\/24 - n**5\/60 + n**4\/12 - n**3\/6 + 2*n**2. Let l(u) = -8 + 23*u + u**2 - 63 - 2*u. Let a be l(-24). Determine g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -17*l - d + 70 - 64, -5*l - 2 = -d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**2 + 1639*x - 7791. Give z(323).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**2 + 4*u + 4*u**2 - 2*u**2 + 1. Let i(d) = -5*d**2 + 2*d - 1. Let r be i(1). What is the remainder when 2 is divided by o(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, x: 2, s: 1, t: 3, c: 3, b: 1}. Give prob of picking 1 x, 1 t, and 1 b.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11566, -44522, -98866, -174598, -271718, -390226?\nAnswer: -530122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b**4 - 10*b**3*t - 711*b - t wrt b.\nAnswer: 36*b**2 - 60*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 11463.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7722 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 l when four letters picked without replacement from {d: 8, p: 1, l: 8}?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b + 4. Let o(q) = -q**3 - 7*q**2 + q + 9. Let r be o(-7). Let z be h(r). Suppose -z*p - 9 = p. Let x(w) = 2*w**2 + 4*w - 1. Calculate x(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 112 and 392413980?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -9.84 - -9.7846. Round m to three dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kykybkkkykpvkbpkrkpv. Give prob of sequence vyk.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 112 and 336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211122112 - 21102?\nAnswer: -211220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7559 + -4873. What are the prime factors of f?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - a - 60. Let c = 49 + a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 5, -5, -1 in descending order.\nAnswer: 5, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 8*b**3 - 42324*b**2 + 485892*b - 1182496 = 0.\nAnswer: 7\/2, 8, 5279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10\/7 + -53\/42. Let z(v) be the second derivative of 0*v**2 - 4*v + 0 + 0*v**3 + k*v**4. Let p(o) = 3*o. Determine p(z(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 188674 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 30 + 344605242?\nAnswer: 344605302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from cyyyyyyyyyyycyyyyyyy.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -243 - -234 - (-8 - (-4 + 1 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) be the second derivative of -17*z**5\/10 - z**4\/12 + z**3\/3 + z**2\/2 + 3*z. Let g be w(3). What is g rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 27 - 101 = 0. Calculate the remainder when 636 is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4057, 4357, 4657, 4957?\nAnswer: 5257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 + 5*t. Let c(w) = -w. Suppose 21 = -2*d + 3*z - 17, 0 = z. Let m = d + 18. Calculate m*j(b) - 5*c(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8.32 - 9.8. Let x = -455 + 470.68. Let j = z + x. What is j rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -5*w. Let d(j) = j**2. Let x(c) = 7*c**2 + 2. Let a(f) = 6*d(f) - x(f). Let y(n) be the first derivative of a(n). What is h(y(k))?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3054518 is divided by 1526638?\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/11824 and 31\/35472.\nAnswer: 35472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.580979 to three dps.\nAnswer: 0.581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q + 2*q**3 - 3*q + (-3*q**2 + 0*q**2 + 4*q**2)*(4*q - 2*q - q) + (-3 + 30*q + 39*q - 49*q)*(2*q**2 + 15*q**2 + 53*q**2).\nAnswer: 1403*q**3 - 210*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 443180430?\nAnswer: 2, 3, 5, 7, 11, 21317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of p**4\/24 - p**3\/6 + 117*p**2. Let j(a) = -a + 1. Calculate -4*j(d) - 5*o(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 298448690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2094?\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 690.179*29.\nAnswer: 20015.191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uddddzuzdduufuuduuf. Give prob of sequence zdz.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -31*(-15)\/(90\/156)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6\/85902083 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(5\/3)\/(x\/x**(2\/17)))**(-2\/47)\/((x**(2\/7))**(-23))**27 assuming x is positive.\nAnswer: x**(2976514\/16779)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**4 - 10*w + 8. Let m(n) = -n**4 - 7*n + 5. Let a(k) = -8*m(k) + 5*o(k). What is the second derivative of a(r) wrt r?\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 40282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 137141 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 greater than 384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - 28b?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2683?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 + 2*h - 2. Let n be t(3). Let a = -8491 + 8495. Let v(o) = 2*o - 2. Let x be v(4). What is the third smallest value in a, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of i**6\/60 + 10*i. What is c in x(c) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-3 - -9 - -16 - 17).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s - 1112*s**3 - 570 + 12*s.\nAnswer: -1112*s**3 - 570","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5328 is divided by 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -35.3 + 32.3. Let x = 3\/143 + 23\/143. Which is the closest to -31?  (a) -0.1  (b) x  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 12*g + 11. Let r be y(-12). Let o(n) = -n + 15. Is o(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.16 - -0.96. Let g = 0.8 + 0.2. Let i = 3 + g. Which is the second biggest value?  (a) 2  (b) h  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 1 = -2. Let x = h + -2. Let t be (x + 5)*(-3)\/(-2). Calculate the highest common divisor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25259\/59112 - -8\/2463. What is the common denominator of m and -13\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - 1. Let g(m) = -m**3 - 5*m**2 - 4*m - 6. Let d be g(-4). Put d, u, 4 in decreasing order.\nAnswer: 4, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1344 (base 5) to base 14\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.5  (b) -1.1  (c) -0.3  (d) 1205  (e) 0.03  (f) -3\/7  (g) 5\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-88)\/(-3))\/(1\/9). Round k to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**2 - 5*z - 8. Let o be m(-3). Let q(y) = -4*y + 6. What is the remainder when 54 is divided by q(o)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11943456011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2))**37\/(w\/w**(-4))**(-11) assuming w is positive.\nAnswer: w**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2002 * 13.88.\nAnswer: -27787.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 42 - 6. Let b be 79 - (t - (-4 - -9)). Let n be b\/5*2380\/(-6). What is n rounded to the nearest 100?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45 + (7 - -3) + -23?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**2 + b + 1. Let d(i) = 4*i**2 + 4*i + 2. What is 2*d(h) - 10*o(h)?\nAnswer: -2*h**2 - 2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1\/109425?\nAnswer: -1\/109425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 46642 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gppbpxgfgpfjxbf. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.17 - -5.17. What is the third biggest value in 2\/5, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-5)\/(-5))\/(3\/15). Solve -35*l = -34*l - x - 3, -3*l + 25 = n*x for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of 2*q**3\/3 + 2. Let a(y) = -4*y + 224 + 210 - 675 + 224 + 5*y. What is r(a(v))?\nAnswer: 2*v**2 - 68*v + 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (0 - -2 - 12 - (-29 + 40 + 32)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b + 15 = -3*b. Suppose -3 = -3*j + 3. Suppose -235 = -j*k - b*k. List the prime factors of k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 567 is divided by 134.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = 283 + 1. Let z = y + -280. Solve 0 = -g - z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2107 times 3.9237\nAnswer: 8267.2359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + (1 + 20 - 17) + -4 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 4*h + 3. Suppose 3*q = 49 + 2. Let s(n) = q + 15*n - 3*n + 5*n + 6*n. Let g(v) = 34*p(v) - 6*s(v). Give g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 50 and 236450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 30 = -s, -3*g - 4*s = -4488. What is the least common multiple of 1674 and g?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**2 - 53300*k**3 + 26636*k**3 + 0*k**2 + 5*k**2 + 26659*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Expand (39*a + 22*a - a)*(0 - 1 + 4)*(-2 - 1 + 4) - 2 + 2 + a + (1 - 2 - 1)*(-2*a - 2*a + 6*a).\nAnswer: 177*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 205536700 rounded to the nearest 100000?\nAnswer: 205500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-10)\/20)\/(1\/(-6)). Let r(m) = -m**2 + 0*m**2 - f*m**2 + 3 - m**3 - m. Is r(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24589*g**4 - 262*g**3 - 1647050*g**2 + 7 wrt g?\nAnswer: -590136*g - 1572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 258, 266, 280, 300, 326, 358, 396?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {g: 7, d: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 7. Let c(o) = -8*o**2 - 9*o - 1. Let n be c(-1). Sort a, n, 2 in decreasing order.\nAnswer: 2, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**3\/17 + 72*y**2\/17 - 74*y\/17 = 0. Calculate y.\nAnswer: -37, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8373*w + 308 = 8384*w. Solve 0 = 37*o + w*o - 520 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -81*w = 284*w + 108040. Which is bigger: w or -307?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-6)*2 - (-3745)\/(-2247). What is the second smallest value in 1, o, -118?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 24 = -2*v + 4*c, 3*c = -v - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, 39, 7 in descending order.\nAnswer: 39, 7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 53 and 901?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.173 + -0.027. Let k = -1.2 - z. Are k and -3\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 1939.053 months?\nAnswer: 1.6158775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11201344 (base 5) in base 9?\nAnswer: -162430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4*((-77)\/21)\/(20\/(-15)). Are g and 32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2730457*k**3 - 22*k**2 - 9*k - 550.\nAnswer: -16382742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 900\/(-132) + -2*(-2)\/(-22). Let s(w) = w**3 + 7*w**2 - w - 5. Let b be s(q). Suppose 4*c - 56 = b*c. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 171?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the third derivative of -5*w**4 + 33*w**3\/2 + 21*w**2. Differentiate x(q) wrt q.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(110) + (3*sqrt(110) - sqrt(110)) - sqrt(110)) + sqrt(110) - sqrt(110))\/sqrt(10))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -3*b + 2. Calculate k(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 7*z - 169. Let j(t) = -5*t + 171. Calculate 3*j(c) + 4*p(c).\nAnswer: 13*c - 163","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + -14. Let j(v) = -v**3 - 7*v**2 - 4*v. Let s be j(-6). Let f be (-6)\/9 + (-2)\/s. Is f at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*j**3 - 552*j**2 + 3705*j - 1014 = 0. Calculate j.\nAnswer: 2\/7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -2\/5, 254.61 in descending order.\nAnswer: 254.61, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2371 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 670238, 1340475, 2010708, 2680937?\n\"Answer: -2*h**2 + 670243*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of -h**4\/6 + 96*h**2. Let y(u) = 36*u**2. Calculate c(y(j)).\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**2 - 109578*d - 767193.\nAnswer: 3*(d - 36533)*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2247, -1, -11 in decreasing order.\nAnswer: 2247, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - o + 4. Let f(q) = -q + 8. Let g be f(8). Let a be p(g). Calculate the greatest common divisor of a and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 18\/(-24)*(-3)\/((-36)\/8). Is 417 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 65\/(-39) - 796\/(-6). Let w = 16355\/6 - 2732. Find the common denominator of f\/16 + -10 + 7 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from weeveteteewetet. Give prob of picking 1 e and 1 t.\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 60.074 to one dp.\nAnswer: 60.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 6255.5393 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -8.3. Let m be ((-4)\/2175)\/((-27)\/1845). Let t = 2\/261 + m. What is the closest to 0 in t, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qjkknakeenn. Give prob of picking 1 q, 1 n, 1 j, and 1 k.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 - 8*s + 5. Let p be q(-8). Differentiate -1 - 5*i**2 + p*i**2 - 4*i**3 with respect to i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 73, -2\/7, 0 in descending order.\nAnswer: 73, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15\/2 + 101\/14. Let i = -5.5 - -0.5. Let d = 0.5 - 0.6. Which is the closest to g?  (a) d  (b) i  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 26800 = -i - 26791, -2*k = -5*i + 105 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28 + 2. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2816 (base 9) to base 16\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g + g**2 + 3 + 13*g - g. Let t be v(-7). Solve 0 = -t*f + f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z - 52 = -18*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3, 27, 107, 261, 513, 887?\n\"Answer: 4*x**3 + x**2 - x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 7 = 5. Solve 2*j - 2 - n = f, -5*j = -5*f - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29678 + 29678. What is the nearest to u in -0.2, 8, 9, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1472 or -1299?\nAnswer: -1299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (20 + 0 + 17)*(-2 - 5 + 5)*(-2 - 2 + 6)*(2*v - v - 2*v)*(0 + 1 - 7)*(2*v - 2 + 2).\nAnswer: -1776*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 11:35 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/((-2)\/((-4)\/(-3))). Suppose -86 = -3*m + w*c, 2*m - 54 - 10 = 3*c. Is 13 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.5 + 2.5. Let j = -4 + r. Let m = -19 - -16. Is m at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11212102 (base 3) to base 7.\nAnswer: -13226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v. Let j be ((-14)\/(-4))\/(5\/10). Calculate the remainder when 55 is divided by l(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-44) - (-141)\/11. Let m be 1\/((-3)\/(-48))*-2. Let d = g - m. Calculate the greatest common divisor of d and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -3819\nAnswer: 2\/3819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 21*c**2 + 4*c - 3. Let x be q(-1). Suppose -m + 2 = -4. What is the third derivative of -14*l + 26*l**2 + x*l - 6*l**m - 8*l**6 wrt l?\nAnswer: -1680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4106\/35 - -824\/7. Which is the biggest value?  (a) 14  (b) -0.01  (c) 0  (d) 4\/3  (e) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105158 is divided by 96644?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 65, 2, 2\/5, -103, -5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24120 - 24120. Let q(w) be the third derivative of 1\/10*w**5 + 0*w + o*w**6 + 31*w**2 + 0 - 1\/2*w**3 + 0*w**4 - 1\/70*w**7. Let q(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13205730365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by -245.\nAnswer: 1\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.12 in 3\/5, 1\/4, 1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 + 28829824*a**2 + 144149220*a.\nAnswer: -4*a*(a - 7207461)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-45)\/(-24))\/5)\/(4275\/387600)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1363 = -7*v - 1272. Solve l - 10 = -2*i - 1, -3*l + v = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -75*w - 203. Calculate the remainder when n(-4) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, b: 2}. Give prob of sequence bhb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from {g: 1, r: 1, d: 1, u: 3, j: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14397957143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -2\/13, 1.48, -6\/7, -4\/3, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -27211 - 3\nAnswer: -27214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -86252 and -0.1.\nAnswer: -86252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.038 + 0.338. Let y = -5.4 + 0.4. Put -3\/7, n, y in ascending order.\nAnswer: y, -3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 173634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of 3*w**4\/4 - 8*w. Let k(c) = 2*c. Calculate q(k(x)).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -0.173\nAnswer: -0.0692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**4 - 1265*z**3 - 80440*z**2 - 232540*z - 153360 = 0. Calculate z.\nAnswer: -142, -108, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 1776991*w + 1. Let v(h) = -5*h. Calculate z(v(p)).\nAnswer: -8884955*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 63 + -30. Let h = 43 - b. Solve o + h = -o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 342*c - 9593. Is 7 a factor of n(102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -24*k**3 - k**2 - k + 4. Let n be g(-2). Let j = n + -192. Solve 7*s + 20 = j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 + (-8 - -5) + (-13 - -7) + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are -29489690 and -560304138\/19 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 256 = -3*o + 297, 3*o - 21 = 0. Let u = -0.14 + -5.86. Sort u, -5, -0.4, z in descending order.\nAnswer: z, -0.4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -31*s - 4. Let g be z(-3). Let m = g + -49. Suppose 2*f + 5*a = -13, 2*f - 2*a - m = -3*f. What is the remainder when f is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2982)\/(-71071))\/((-1)\/11)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, 0.27, -34, 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 + 5. Let d = 17 - n. Suppose 3*k + 13 = 1, 0 = d*l + 2*k - 2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/55*(-99792)\/16128\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -1.2, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 110 and 110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -2 + 0 + -570 + 568.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*m - 136*m + 580 = 0. Suppose -205 = -m*d - 31. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**3 + 4*s**2 - s - 12 - 3*s**2 - 2*s**2 + 63. Does 30 divide k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3747081?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 77383504*d**2 - 39482376*d?\nAnswer: 154767008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oovo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -1. Let w(z) = -z - 3. Let y be w(-3). Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(567) + -2)*3 + (sqrt(56)\/sqrt(8) + 3 - (sqrt(847) + -3)))**2.\nAnswer: -4368*sqrt(7) + 58543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.012998523 - 4.687011677. Let z = k + 4.7. What is z rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*d + 663 = 103 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 1374*a**3 - 49*a**2 - 10*a - 5. Is m(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 17482944130265 - 17482935505145.2000084. Let f = a - 8625122. Let o = f + 2.2. What is o rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the first derivative of 3*u**2\/2 - 1. Let i(l) be the second derivative of -l**4\/12 + 2*l. Give v(i(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 12:21 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 12, k: 7}. Give prob of picking 2 l and 1 k.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 353800 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, x: 1, b: 1, m: 2, g: 2}. Give prob of sequence gmf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9)\/6)\/(9\/24). Let d = -1.774 + -0.226. What is the biggest value in -15, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/7328 and -13\/119996.\nAnswer: 959968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 36 = 5*g. Suppose -3*s = -5*i + 30, 2*s + g*i - 2 = -0*s. Sort 5, -3, s in descending order.\nAnswer: 5, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/(-54) + 327\/(-351) + 1. What is the closest to 0 in 0.07, f, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*j - 75 = -5*u, -7*u + 58 = -4*u + 2*j for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = m + 12, -24 = -m - 5*n - 0. Suppose 0 = m*a + 99 - 255. Suppose -19*o + 56 = -15*o. What is the remainder when a is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -32 + 32.05. Let c(f) = f**3 - 7*f**2 + 7*f - 6. Let d be c(6). Let p be d*1\/(-3)*-1. What is the biggest value in p, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 times 25?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6500 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 77064*j = 77066*j + 12, 5*x - 5*j - 15 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 76 = -3*s, -5*s = -3*x + 2*x + 2. Let d(g) = -g + 25. Let m be d(x). Let w(n) = 11*n + m - 4 - 8*n. Let b(z) = -1. Determine 3*b(y) - w(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -9\/10, -1\/8, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 116 = r - m, 0 = -2*r + 3*m + 68. Suppose -4*u + 44 = 2*p, 2*u - r = -u + 2*p. Let n = u - 7. Solve n = -2*b + 3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 2  (b) -5\/43  (c) -2  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the second derivative of a**6\/6 + 119*a**5\/10 - 33*a**4\/4 - 24*a**3 - 2202*a. Factor i(l).\nAnswer: l*(l - 1)*(l + 48)*(5*l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*g - 3*g - 376. Let i be 32\/312*744\/g. Let v = -10\/13 + i. Is v bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -3*x - 0*y + 88, 155 = 5*x - 5*y. Let r be 10\/x + 2\/9. Let d = 1 - r. What is the closest to -1\/2 in -3\/7, d, -0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (9 - -3)*(-14)\/(-6) is divided by (-14)\/((-1)\/1) + (-6 - -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*u + 1130 = -42*u. Is u 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 {g: 7, a: 6, y: 4}. Give prob of picking 2 g.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + 5. Suppose -c*k = -3*k - 16136. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 590352 - -23?\nAnswer: 590375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(-7)*j\/((((j\/(j*j**(2\/5)))\/j)\/j)\/j)*j*(j**2)**(6\/11))**(2\/7))**(2\/29) assuming j is positive.\nAnswer: j**(-16\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*i**2 + 116111250*i - 1123485198046875 = 0. What is i?\nAnswer: 19351875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 51*s**2. Let q be b(-1). Let k = q - 57. Let u(m) = m**3 + 5*m**2 - m + 1. What is u(k)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/240 and -13\/24?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3247 and 41488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from myctytypotym.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 - 6*i + 2. Let p be ((-10)\/15)\/((-2)\/(-12)). Let g = p + 9. Let k be o(g). Which is the third smallest value?  (a) k  (b) -0.3  (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 272068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 7*b - 172 = 0. Let h = b + 44. Solve 0 = i - 2*p - h, -3*i + i - 4 = -p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2887 - 2770 - (20 + (4 - -2)).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -y + 2*a, 5*y - 114*a - 10 = -109*a for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -1087*j - 124. Let h(a) = -3*a + 1. Let x(p) = 3*h(p) + i(p). Is x(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(833) + sqrt(1377)*2.\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*m**2 + 0*m**2 + 4*m**2)*(-4 + 0 - 2)*((1 - 2 + 4)*(2 - 2 - 2) + 1 - 1 - 2 + 3 - 2 + 1).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*j + 888 = 8*j. Let v(a) = 108*a + 40*a + 0*a. Let r be v(1). Calculate the highest common factor of j and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 827 divide 2564527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 21*t**4\/5 + 57*t**3\/5 + 9*t**2 + 3*t\/5 - 6\/5 = 0. What is t?\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.482864 rounded to one decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 2:25 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*(-297)\/(-2640)*20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 - -1. Let q = 3 + x. Let t(v) = 2*v + 2. Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 69*g + 6. Let m(f) = -25393*f - 2211. Determine -4*m(o) - 1474*w(o).\nAnswer: -134*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {l: 12, m: 7}.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135902949 divided by 3484691.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 174 - 188. Which is smaller: t or -13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9666\/11, -0.03, 4, 1\/2.\nAnswer: -9666\/11, -0.03, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 22418729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 1\/11  (c) -4  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (29 - 69*p**4 - 29)*(9 + 5 - 8) + 2*p - 2*p + p**4 + (p - 3 + 3)*(-p**3 + 4*p**3 - 2*p**3).\nAnswer: -412*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m + 12. Let b be w(4). Suppose b = -7*l + l + 96. Suppose 44 = 6*v - l. Calculate the smallest common multiple of v and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 10*i + 36 = 0. What is the derivative of -11*o**3 - 73*o**i + 144*o**4 + 7 + 20 - 73*o**4 wrt o?\nAnswer: -8*o**3 - 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -57\/196 + 2\/49. Let n = -0.7086 - -0.2086. Which is the smallest value?  (a) 2  (b) n  (c) -2\/19  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8 = 6*r. Let t = 59\/2 - 30. Which is the closest to 1?  (a) -0.2  (b) t  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g + 4 = 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**4 - q**4 + 3*q**4 + (-249*q**2 - 14*q + 35*q + 222*q**2)*(11 - 11 + 2*q**2) as b + a*q**4 + h*q**2 + z*q + u*q**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -14773, -29342, -43885, -58402, -72893, -87358?\n\"Answer: 13*v**2 - 14608*v - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4162*a*d**3*j - 2*a*d**3 - 96*a*d**2 - 1389*a*j - j wrt d?\nAnswer: 24972*a*j - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*m + 10 = 33*m. Solve 0 = -3*i - m - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-6) - (-30)\/9. Let z be (-8)\/(-16)*20\/2. Solve z*k + 2 = d*a - 8, 3*a + 40 = -5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1*sqrt(1700)*-4 - (5 + 2*sqrt(1700))) + 2 + ((sqrt(612) + 1)*5 - (sqrt(612) + 5*((sqrt(612) - sqrt(612)*1) + sqrt(612)))))**2.\nAnswer: 756*sqrt(17) + 269901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -5*p + 91. Let c(u) be the third derivative of u**4\/6 - 15*u**3 + 4*u**2. Let q(r) = -4*c(r) - 3*j(r). Is q(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 10 = -2*o, 5*o - 11 = j + 2*j. Is -7 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1029, -2071, -3113?\n\"Answer: -1042*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0*(8 - (-75)\/(-10)))\/(3 + -7) - -96.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10363421.\nAnswer: 17, 609613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00007262 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 261 - 153. Suppose 10*t + n = -12. Let g be -1 + -1 + 4 - t. Solve -5*k + 0 = d + 8, -4*d - g = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -17602961, -35205930, -52808899?\n\"Answer: -17602969*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppffqfqqpqfwfpuf. Give prob of picking 1 u and 1 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -85 + 35. Let s = 53 + y. Solve -5*o - 24 = 2*z - 4, o + 17 = -s*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2806 - 1419 - 2*l - 1387.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8b3a + 8?\nAnswer: 8b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.4316978 grams?\nAnswer: 0.0000004316978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*l**5 + 602*l**4 - 17*l + 252 wrt l.\nAnswer: 140*l**3 + 7224*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*g + 30 = -17*g - 258 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 97 = 141. Suppose -4*g + 29 = r, -g - 29*r + p*r = -2. Solve 2*o = -1 + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(4032) + 2*sqrt(4032)*-6 + sqrt(4032))\/(sqrt(32)\/(-2*sqrt(16)\/sqrt(2))) + 4.\nAnswer: 4 + 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 + 13*u**2 + 14*u + 2. Suppose -40 = 8*c - 152. Determine f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (13 - 13)\/((-28)\/4). Let g(l) be the first derivative of 0*l**4 + m*l**3 - 2*l**5 + 0*l - 1\/2*l**2 + 7. Find the second derivative of g(j) wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-387)\/26 - (-2 - 0)*(-14715)\/(-1962)?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 123\/2*10\/(-15). Let g = c + 51. Differentiate -3 + 38*r**3 + g - 2 - 6 with respect to r.\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 7*f**2 + 3*f - 2. Let p be i(2). Let b = -4 + 12. Calculate the greatest common factor of b and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (300 + 39 - 190 + 307)*(0*w + 0*w - w)*(3 + 2*w - 12 - 14).\nAnswer: -912*w**2 + 10488*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = p**3 + 4*p**2 - 4*p. Let v be a(-5). Let c(t) be the first derivative of -t**4\/2 - 5*t**3\/3 - 2*t**2 - 25*t + 9164. Is c(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -22602.9596 to the nearest 10.\nAnswer: -22600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1257550 - 29?\nAnswer: -1257579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by 1078\nAnswer: 1\/1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v**2 + 4*v - 3. Give x(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, y: 5}. Give prob of picking 3 y and 1 w.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 51.098 + -51. Let s = 4868 - 4873. Which is the nearest to 1?  (a) s  (b) d  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 17*s = 16. Solve 0*u = 4*u + s for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-7)*12\/24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2302, -2, -1, 2 in descending order.\nAnswer: 2, -1, -2, -2302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1622690446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31219266 divided by 6.\nAnswer: 5203211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 15*c + 51. Calculate u(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -161.80148 to the nearest integer.\nAnswer: -162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.5 + -0.3. Which is the nearest to i?  (a) 0  (b) 0.3  (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3, -3, -9, -15, -21, -27?\n\"Answer: -6*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 413094 divided by 6.\nAnswer: 68849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2587327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -226, -416, -606, -796, -986?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 4*s = 0. Suppose s*m - 30 = -3*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7415, 9276, 11137, 12998, 14859?\n\"Answer: 1861*u + 5554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y**7\/y*y*y)*y**(-3)\/y*(y*y**4)\/y**(-1\/5) assuming y is positive.\nAnswer: y**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 658680 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -171268 divided by -3644?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.99 - -0.09. Let k = -19416598 + 19416598.89999974. Let f = k + b. What is f rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 13896\/(-396) - (-24)\/22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - 15.15?\nAnswer: -1.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3275430 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 minutes after 2:25 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1895  (b) -2  (c) 1\/3  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3, 11, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 11:02 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -87939?\nAnswer: -43969.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.85895ug in milligrams?\nAnswer: 0.01685895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 229, 246, 279, 334, 417, 534?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {w: 2, v: 4, u: 1, a: 4, f: 7}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 3*y - 18, o - y - 3*y - 14 = 0. Suppose 3*w = -5*u + 180, o*u - w = 3*u + 108. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(285\/(-114) + (0 - -1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2629330, 2629329, 2629328, 2629327, 2629326?\nAnswer: 2629325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 4435, 17760, 39967, 71056, 111027?\n\"Answer: 4441*u**2 + 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -1.06978352?\nAnswer: 3.93021648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -457*r = -972 - 1313. Solve -4*m = 3*a - 32, -36*a = -r*m - 33*a + 13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 - 22.9. Let z = 4.01 - 4. Let l = z + -0.01. Is l != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of -4*f**5\/15 + f**4\/3 + 27. Find s such that g(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 579 = 64*q + 14*q - 1137 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/11)*g*g**(2\/25))**32 assuming g is positive.\nAnswer: g**(7904\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -216?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -55*p + 52. Let y(v) = -9*v. What is -t(o) + 6*y(o)?\nAnswer: o - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 536026 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 37962.51nm in millimeters?\nAnswer: 0.03796251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.2  (c) -0.1  (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -12640*o - 505584. Determine q(-40).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 94 = -5*s, w = 11*s - 10*s + 82. Suppose -p + 174 = u - w, 0 = -4*u - p + 1044. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 - 220*q - 9392. What is p(-58)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 141686 is divided by 35207.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and 179?\nAnswer: 71.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 871172.1ml?\nAnswer: 871.1721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*l + 3*l**2 - 5*l)*(2 - 1 - 2)*(3*l - l + l)*(-36 - 40 - 77) to p*l**3 + m*l**2 + d*l + x and give p.\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = n**3 - 4*n**2 - 3*n + 2. Suppose s + 2 - 4 = 0, -2*o + 14 = 2*s. Does 4 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12732, 39, 0.\nAnswer: 0, 39, 12732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 5*n + 10 = 0, -5*n + 0*n - 14 = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22.1 - 23. Let v = z - -0.7. Let s = 3 + -3. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 764948027.\nAnswer: 37, 43, 373, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1568 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 34*n**2 - 37*n**2 + 172*n**3 - 23*n**2 + 90*n**2 to the form m*n**2 + u + o*n + i*n**3 and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -5*v + 920, -2*v - 3*p = -v - 165. Suppose 0*a + 2*a = v. Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 9, h: 10}. What is prob of sequence hhh?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 61790 by 12358.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -49577*k**4 - 52275*k**2 wrt k.\nAnswer: -1189848*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -4*f**5\/5 - 49*f**3\/6 - 4*f**2 - 4*f + 36. Let i(t) be the second derivative of c(t). Differentiate i(s) wrt s.\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-3)\/6 - 174\/(-4). Suppose 4*g = -3*n + 26, -4*n - 4*g + k - 3 = 0. Let b = -1 - -5. Solve -n = 2*j - b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3 - 6) + 5 + -4 + 2. Put k, -66, 3 in increasing order.\nAnswer: -66, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 455.9806 years?\nAnswer: 4.559806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -5, 40398 in descending order.\nAnswer: 40398, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -37, -142, -323, -586, -937, -1382, -1927, -2578?\n\"Answer: -y**3 - 32*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 692.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 5*b**2 - 20*b - 7. What is w(5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(1\/31)*c**7*(c**(-4\/17)\/c)\/c**8)**(-10\/9) assuming c is positive.\nAnswer: c**(6680\/4743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2122 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 1) + 14\/((12 - 12) + -1) + -41.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 4*p, -5*p + 60 = -5*u. What is the units digit of (((-16)\/6)\/4)\/(u\/1728)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of f**7\/30 + 11*f**5\/60 + f**2\/2 - 10. Let r(t) be the second derivative of j(t). What is the third derivative of r(n) wrt n?\nAnswer: 168*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 1:27 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - 0)\/(-5 - -6) + 4. Let u(i) be the second derivative of -1\/60*i**5 + 0 - 1\/18*i**4 + 2*i + 0*i**b + 0*i**2. Find q, given that u(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*l**4 + 5965 - 11930 + l**3 - 2*l - 9*l**2 + 5964 + l**3 to the form i + v*l**2 + c*l**3 + w*l**4 + z*l and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1140 = -12*r + 7*r. Suppose z = 4*l + r, 4*z + 2*l - 1135 = -241. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q**2 - 48*q + 32. Let b(w) = -2*w**2 - 46*w + 31. Let r(v) = -3*b(v) + 2*u(v). What is the remainder when 448 is divided by r(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -80331 + 80336. Let z = -49\/88 + 3\/8. Let v = -2 + 6. Which is the second smallest value?  (a) z  (b) m  (c) v  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.33 from 132.\nAnswer: 131.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2034, -4096, -6144, -8172, -10174, -12144?\nAnswer: -14076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2795  (b) 18  (c) -4  (d) -38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -2*w + 2*j, -2*w + 4*j + 34 = -18. Find the first derivative of -13 + 1 + w + 21 - 34*m wrt m.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 3, w: 5, k: 1, j: 1, r: 2, h: 1}. Give prob of sequence wkw.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -20, -64, -136, -236?\n\"Answer: -14*r**2 - 2*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(2*sqrt(475) + -2*sqrt(19) + sqrt(19) + 3)**2 - (sqrt(1900) + 0 + -1 + sqrt(1900) + 2*(2 + sqrt(1900)))**2.\nAnswer: -33505 - 348*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-30)\/(-550)*(-115)\/(-345)\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**4 - 5*m**4 + 3*m**4)*(-3 + 0 + 1)*(0 + 2 - 3).\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1008262 divided by 12\nAnswer: 504131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 23 + 17 = 5*n + 20, 2*a = 2*n - 28 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*n**3 + 354 + 30*n**3 - 356.\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.32535 + -0.325313908. Round u to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f + 4*f**2 + 0 - f**3 + 0 + 2 - 3*f + f. What is q(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 4 + 7*d + 0 - d**3 - 3 + 2 + 2*d**2. Let b be l(-2). Solve -3*c + b*c + 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 203 - -206. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the first derivative of -k**4\/4 - 75*k**2 - 75*k + 69. Find the first derivative of m(x) wrt x.\nAnswer: -3*x**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 - -12. Factor 3*c**o + c**3 + 2*c + 40 + 36 - 76.\nAnswer: c*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7488831 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - (1 - (3 + 0)). Suppose 0 = y*w + 3*w - 10. Let i(d) = d**2 - 3*d. Let v(n) = -n. Determine w*i(a) - 6*v(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -21 - (-31 + (-22 - -78)) - 37\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/3)\/((-4)\/32*-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 234833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17813 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 3*v = -42. Let g be v\/(-21) - (-131)\/(-3). What is g rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 3*n - 25 = 0, -g + 5*n = -127. Let d be g\/9*(-3)\/(-2). Find the first derivative of -d - 5*v**3 + 5 - 2*v + 2*v wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -148*(-11)\/4004 + 128\/416?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 10*z**2 + 4*z + 3. Let r(a) = 9*a**2 + 3*a + 2. What is -4*r(p) + 3*s(p)?\nAnswer: -6*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + -2 - 2) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -758\/35 equal to -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3314709025 to the power of 1\/4, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_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: b\"What is the pth term of 21, 30, 61, 126, 237?\n\"Answer: 2*p**3 - p**2 - 2*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 14663 and 490699.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -3*g**3 + 5*g**2 + 6. Let s(b) = -8*b**3 + 15*b**2 + b + 18. Let h(w) = 11*r(w) - 4*s(w). Give h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*p = 70, -2*s - p = 3*p + 10. Let x = 0.505 + 15.495. Is x smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(0 - -1)*-1. What is the least common multiple of 6 and (10\/(-25))\/(t\/55)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20021?\nAnswer: 20021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**3 + 394*l**2 + 1189*l + 794 = 0. Calculate l.\nAnswer: -2, -1, 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 1. Let y(m) = 63*m**3 - m**2 + m + 4. Let u(t) = t**2 - t + 3. Let v be u(0). Let f(w) = v*j(w) - y(w). Is f(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2185 and 38893.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/(-20))\/(1\/5). Let g = -2014 - -2010. Sort c, g, 7 in descending order.\nAnswer: 7, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10 and 26374728.\nAnswer: 131873640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + (-1 + -1 - -2). Let h(w) = w**3 - 2*w**2 - 2*w - 1. Let c be h(y). Let r(g) = 6*g**2 + g**2 - g**c. Let n(l) = -2*l. Give n(r(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (5 - (12 + -6)) + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.03?  (a) -19  (b) -2  (c) 3  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 882 + 312*a + 362 + 117*a - 38*a wrt a.\nAnswer: 391","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 259919594.\nAnswer: 2, 11, 557, 21211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the third derivative of 0 + 0*d**6 + d**2 - 1\/840*d**8 - 2\/75*d**5 + 0*d**4 + 1\/175*d**7 - 38*d + 0*d**3. Determine u so that j(u) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-1*(-2)\/(-2)). Let r(p) = -3*p**3 + 6*p + 6. Let s(c) = c**3 - c - 1. What is g*r(v) + 6*s(v)?\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k - 2679 - 381. Let s = 2371\/3 - k. Let z = s + -457\/18. Which is smaller: -1\/4 or z?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2126 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d + 5. Let w be u(0). Suppose 8*l - 3*l - w = 0. Solve 0 = -0*n - n + l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4535 and 4983339170.\nAnswer: 4535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**2\/7 + 298324*i\/7 + 11124651122\/7 = 0 for i.\nAnswer: -74581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (18\/12)\/(3\/2). Let g be (0 - v)\/(6\/24*-4). Solve d + 0*d = -g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -12.058 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z**3 + 2*z**2 - 1. Let s be v(-1). Let k = 0.061 - 1.201. Let l = 1.64 + k. Sort l, -0.3, s in descending order.\nAnswer: l, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2298, -2237, -2078, -1773, -1274, -533?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1543 - 1c81?\nAnswer: -34c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the second derivative of -a**7\/6300 - a**6\/900 - a**5\/300 + a**4\/2 + 5*a. Let f(z) be the third derivative of h(z). Find l, given that f(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 + 12*i - 14. Let c be s(-13). Let l(o) = -320*o - 3. Is l(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c\/c**(-5\/8)*c**(-17))**(-6\/31))**(6\/7))**(-45) assuming c is positive.\nAnswer: c**(-49815\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*j = 175, -2*u + j + 465 = 103. What are the prime factors of u?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8023?\nAnswer: 71, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 209376.2 to the nearest 1000.\nAnswer: 209000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 666 + 76. Let s = u + -735. Calculate the greatest common factor of s and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-42)\/63 - (-22)\/42\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63379 by -63379.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 33120.93t?\nAnswer: 33120930000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 457*f**2*t**2 + 4*f**2*t + 10*t**2 + 960*t wrt t?\nAnswer: 914*f**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 413663, 413664, 413665, 413666?\nAnswer: 413667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 5632168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0\/1*(5310\/(-59))\/(-90)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 4*x - 260 = 0, 78 = -5*k + x + 403. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 112 + 11022001101122?\nAnswer: 11022001102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 AM and 9:42 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15201 - 15201 - 310*r**2.\nAnswer: -310*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 2, -0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1 - 0)*74)\/(-2). Suppose 0*a + a + n = -4*u, 3*u = 2*a + 30. What is the tens digit of ((-32)\/(-6))\/((-86)\/a - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13*4\/208)\/(70\/(-8)).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/810*4\/6*(-33)\/22.\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(32))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s = 5*i + 14, -297811*i + 70 = -297800*i - 5*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 157, 187, 217?\n\"Answer: 30*k + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40 - 35 - (-29 - -20)) + -23.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 745, 1483, 2213, 2929, 3625, 4295, 4933, 5533?\nAnswer: 6089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -14*h - 3. Let r(d) = -21*d - 5. Let y(c) = -5*r(c) + 8*t(c). Let a = 1 + -28. Let l = a + 21. Let q(j) = 15*j - 2. Give l*q(m) - 13*y(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 - b**2 + 526*b - 3916. Give o(8).\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/2 + 5451\/(-474))\/(-12).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -32842522 (base 9) to base 2.\nAnswer: -111100101100110101110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 PM and 10:26 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3516 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 456 and 3160400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 1 - 7, -p - 3*b + 9 = 0. Let l(f) = -5 + 10 - f**2 - f + p*f - 13*f. What is the units digit of l(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 28218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 AM and 10:19 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_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 c = -76.1 - -76. What is the nearest to -1 in c, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10250 less than 189735?\nAnswer: 179485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 2848*r + 395. Is o(27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 4. Which is smaller: -3\/10 or l?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -2*s + 9. Let x be p(4). Let z(m) = 8*m + 2 - x + 0 - 2. Let i(l) be the second derivative of -7*l**3\/6 + l**2\/2 + l. Calculate 6*i(b) + 5*z(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 509027 - 2553738\/5. Let i = 1712 + o. Find the common denominator of 99\/8 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -16*y**3 + 16*y**2 + 24*y - 4. Let b(n) = 3*n**3 - 3*n**2 - 5*n + 1. Let d(m) = 11*b(m) + 2*c(m). Suppose 3*k + 378 = 66*k. Is d(k) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 460379, 920905, 1381575, 1842389, 2303347?\nAnswer: 2764449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 2*l + 7, 3*l + 6 = 3*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121110110 - 202220021?\nAnswer: -1101100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/7506 and 41\/67554.\nAnswer: 67554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65736 is divided by 16432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 459 and 729?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 191 - 19. Suppose -4*l = -1 - g. Let n = 23 - -10. What is the highest common factor of l and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9480, -19225, -29534, -40689, -52972, -66665, -82050, -99409?\nAnswer: -119024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 593, 604, 601, 578, 529, 448, 329?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 18292 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/25 in 1\/10, 0.2, 7283?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*s + 15 = -17*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 10509271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 120  (b) 1.4  (c) -3  (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -7*g**2 - 2*g + 2. Let z(a) = 24*a**2 + 7*a - 7. Let w(h) = -7*l(h) - 2*z(h). Let o(s) = 219*s**2. Give w(o(t)).\nAnswer: 47961*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**3 + 6*y**3 - 2*y**3 + (-2*y**2 - 9*y**2 - 5*y**2)*(4*y - 5*y + 3*y).\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + (46 - 16) - (0 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -129100 rounded to the nearest one thousand?\nAnswer: -129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 6 = 4*x + 5*y, -5*y = 2*x + 8. Which is smaller: x or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1.1, 224, 0.5, -4 in decreasing order.\nAnswer: 224, 0.5, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28363423.\nAnswer: 11, 37, 227, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17096541 and 9769452.\nAnswer: 68386164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 1, -5*h = 2*s - 7*s. Suppose 24 = 196*i - 199*i. Let p be 76\/(-12) + i\/(-6). Sort p, 3, 5, h in decreasing order.\nAnswer: 5, 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5f3 (base 16) in base 8?\nAnswer: 2763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -2307, 60, -1 in decreasing order.\nAnswer: 60, -1, -8, -2307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 7 - 4)*(-2*n**4 + 2*n**4 - 7*n**5) + 8*n**5 + 7*n + 7*n**5 - 17*n**5.\nAnswer: -16*n**5 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 7*s**2 + 9. Give b(-8).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -76, -116, -156, -196?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 - 43 - (-1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 244 - 20?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 20*m**2 + 20*m + 7. What is d(21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16095801.3 and 0.1.\nAnswer: -1609580.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 50688103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 2:39 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*c**2 - 61766 + 61766.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + (-5 - -15) + (-4 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 41011\/5 + -5331541\/650. Calculate the common denominator of 45\/52 and u.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w + 6*w - 44. Let l(i) = 10 + 12 - 4*i**2 - w. Let t(h) = 6*h**2. What is l(t(a))?\nAnswer: -144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 355 = 78*y + 1135. Suppose 12 = 3*l - 0. What are the prime factors of l\/y + 23440\/100?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(1\/4))**8*z**4*z\/(z**(2\/17)\/z*z*z)*z*z*z)**(-2\/95))**32 assuming z is positive.\nAnswer: z**(-9664\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, 5\/6, -4, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5*r - 39 = -0*r, -3*r - 18 = 0. Let q(n) = -3*n**2 - 48*n + 9. Let k(x) = x**2 + 12*x - 2. Determine z*k(l) - 2*q(l).\nAnswer: -3*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(180) - sqrt(180)*-4)\/sqrt(9))\/(-2*sqrt(10)*-4).\nAnswer: -4 + 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 - 6*u**2 + 21*u - 19. Is q(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 + 4. Let o(j) = j + 2. Let p be o(-6). Let g = p - -6. Solve g = 4*c + v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}