diff --git "a/data/dm_maths/full_data_2/11033_11255.jsonl" "b/data/dm_maths/full_data_2/11033_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/11033_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o be (-6)\/4*16\/(-12). Suppose o*h + h + 2*p - 28 = 0, -5*h - 2*p + 40 = 0. Suppose -2*z = -3*z + 6. Is h >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -503 or -504?\nAnswer: -503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2167149, -2167182, -2167251, -2167374, -2167569?\n\"Answer: -3*w**3 - 12*w - 2167134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and (-8 + 85\/15)*-487 + 8\/(-6).\nAnswer: 17025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h + 1. Let m(l) = -2*l**3 - 4*l**2 - 5*l + 4. Determine 4*d(y) - m(y).\nAnswer: 2*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/24 - 3*z**2 + 10. Let m(k) = -4*k**2 - 6*k. Give -m(u) - 6*v(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 410 + -415. Put l, 4, 1 in increasing order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*o + 8477 + 4289 = 2*l, 2*o - 2*o + 236 = 4*l - 4*o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 26*l**2 + 48*l - 1. Calculate y(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1720 + 9 - 4 - 452 - 972)*(-v + 7*v + v).\nAnswer: -21973*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -8*-1.5\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3, -2, -155\/4, 1\/6, -65, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:59 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209.88774 months to centuries.\nAnswer: 0.17490645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*x - 13920 - 7910 = 0 for x.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + 17*o - 12. Let a be f(8). Does 9 divide 20\/a + 3\/(12\/776)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1431*j**3 + 1430*j**3 + 3*j - 658*j**2 + 656*j**2 in the form d*j + u + t*j**2 + a*j**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzszzszaaassaa. Give prob of picking 2 s.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 5. Let s = 27 + 9. What is the remainder when s is divided by (-111)\/(-9) + (-2)\/w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 30, 45, 62?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from zzzzizzzzzizz?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 78\/40 + 7\/(28\/(-3)). Let a = t - 107\/85. Sort -3, -0.4, -2, a.\nAnswer: -3, -2, -0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -19.8 (c) -2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 3, p: 8, a: 4, h: 2}. What is prob of sequence hxhx?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-21 - (-2650)\/200).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -60, -76, -112, -174, -268, -400, -576?\n\"Answer: -a**3 - a**2 + 8*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j, -t = 2*j - j + 1. Suppose 2*l + 11 = 3*y, t*l + 2*y - y + 7 = 0. Let v be (-24)\/(-8) + 3\/(-1). Which is greater: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 3. Let h(r) = -r**3 + 19*r**2 - 16*r - 38. Let w be h(18). Calculate the remainder when 27 is divided by t(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + a = 1, 4 - 8 = 2*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15306889249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 3 (b) -2\/13 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 11\/18 in ascending order.\nAnswer: -4, 11\/18, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1972724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1588\/(-111954) + (-15470)\/2820.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1221 - -3715\/3. Find the common denominator of 20\/7 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 1, n: 10, w: 2}. What is prob of sequence on?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 22\/35, -0.16 in descending order.\nAnswer: 22\/35, -0.16, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*n = 142*n - m - 43661, -3*m + 21 = 0. What is the lowest common multiple of n and 24?\nAnswer: 29112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 67*q + 2785. Determine s(-96).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) + sqrt(144) + sqrt(144)*-2*5 + sqrt(144))\/((sqrt(60)\/sqrt(4))\/sqrt(5)) - (sqrt(60)\/sqrt(5)*1 + 5 + 0 + sqrt(12)).\nAnswer: -32*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -55.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**3 - 9*u**2 - 3*u - 7. Let m be g(5). Put m, -1, 2, -2 in descending order.\nAnswer: m, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q - 406. What is b(-63)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*s + 2)*(-2*s + s - s) + 5*s**2 + 0*s**2 + 0*s**2)*(-16*s**2 - 4*s**2 + 8*s**2).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 61 = -22*x + 17*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 + 6*j**3 + 21*j**2 + 12*j.\nAnswer: -3*j*(j - 4)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**3 - 21*i + 21. Let f be q(1). Solve 0 = -f*m + 6*d - 2*d, -4*m - d = 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -3. Suppose 3*c = -r*l + 12, -2*c + 9 = l + 1. Suppose k - 4 = w - l*w, 0 = -5*k + 4*w + 18. Put k, -6, -1 in descending order.\nAnswer: k, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/24 and -47\/91902?\nAnswer: 367608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 4*s + 4. Let o = -32 - -36. Is 10 a factor of w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -0.3, -15\/4, -0.06 in ascending order.\nAnswer: -15\/4, -1, -0.3, -0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 6*m**3)*(-m - 3*m + 5*m) + 0*m**4 - 6*m**4 + 4*m**4.\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -5, -23, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) - (sqrt(539) - sqrt(539)*-1))*-4 + -5 - (4 + sqrt(22)\/sqrt(2)*-4 + 3*(sqrt(11) + -1)))**2.\nAnswer: -348*sqrt(11) + 9287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 11:08 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2124 by 4.\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 5:03 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 18*t. Let c(b) = b. Suppose -2 = -2*z - 2*l - 0, 5 = 5*z - 3*l. Determine z*c(j) - i(j).\nAnswer: -17*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.57749 hours in seconds?\nAnswer: 135278.964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 0.5, -3, 2, 9 in ascending order.\nAnswer: -3, 0.5, 2, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.78 + -4.06. Let v = r + 2.58. Which is the nearest to 1? (a) v (b) 0.5 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-1*(sqrt(5) - sqrt(180)) + sqrt(5)).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/16, 4, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b (base 14) in base 6?\nAnswer: -1251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7128 is divided by 3323?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3871082.\nAnswer: 2, 1935541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**7\/4200 + u**6\/1800 + 2*u**3 + 7. Let t(p) be the third derivative of x(p). What is m in t(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 6:42 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 138 + 2*m + 136 + (-5 - 4 - 8)*(m - 4*m + 0*m).\nAnswer: 55*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1736 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a**3*w + 24*a**3 + 2607*a*w + 263*a - 2*w + 1 with respect to w.\nAnswer: -8*a**3 + 2607*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2210 and 7280.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*j = 46*j - 406 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 285 - 536. Is -251 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4253 = 20*v + 1193. Let l be 2\/(-3)*v\/(-510). Let h = 0.1 + -0.3. Which is the second biggest value? (a) l (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726 a factor of 528861029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1956\/(-59332)*(-28)\/(-72)?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 - 3)*(-1 - 20 + 22 - 40*u) + (6 - 2 - 3)*(4*u - 2*u + u).\nAnswer: -197*u + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2. Suppose -p = 3*n + 4 - 14, 3*p - 4*n = 56. Let y(i) = 47*i - 22*i + p*i. What is a(y(t))?\nAnswer: 3362*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 3 + (-2 - 0). Suppose 0*f - 6 = g*f + 2*u, -3*u = -4*f + 23. Find the second derivative of r + 0*r - r**2 + f*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -760 by 190.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -43021587257.\nAnswer: -43021587245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a factor of 829405965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -97*p**3\/6 + 146*p**2 - 6*p + 4561. Factor t(k).\nAnswer: -(k - 6)*(97*k - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13300)\/127680)\/(2\/(-32))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*v**4 + 165*v**3 + 194*v**2 - 84*v + 8.\nAnswer: -(v - 2)*(v + 1)*(11*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 - 1.6. Which is the third biggest value? (a) 0.5 (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 40*d\/7 - 192\/7.\nAnswer: 2*(d - 4)*(d + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5706676 (base 8) to base 6\nAnswer: -53030210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 42401*f + 12 = -42396*f, 3*g - 6*f + 4 = -f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i + i)*(-i + 0*i - 6*i)*(3 - 4 + 0) + (3 - 3 - 4)*(2*i**2 + 0*i + 0*i).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3 + 11*o**2 + 14 - 27 + 7*o. Is 14 a factor of k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 2*f + 38. Suppose 6 = -4*k + f. Suppose -x = -b + k - 43, -61 = -2*x + b. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 23, 20, -3, -52, -133, -252?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81066?\nAnswer: 2, 3, 59, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 + 217\/(-98) - -4. Let t(h) be the first derivative of 0*h + 1 - 3\/4*h**4 + m*h**2 + 0*h**3. Factor t(a).\nAnswer: -3*a*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 2, j: 1}. What is prob of sequence yd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2324*k + 701*k - 8027*k - 15982*k - 5232*k + (3*k + 0*k - 2*k)*(1 + 4 - 3).\nAnswer: -26214*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*m + i - 8, 0 = i + 1. Sort 0, -12, 6, m.\nAnswer: -12, 0, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 + 4*j**2 + 4*j - 1. List the prime factors of i(-3).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61110 rounded to the nearest 1000?\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2427*y + 2427*y + 10*y**2.\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -10\/4528129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-3 - (0 - 1)). Let q be i*(108\/16 - 3). Suppose -2*h + q + 55 = 0. Calculate the remainder when 68 is divided by h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 - 121?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = -2*a + 55. Let c(t) = -t**2 + 9*t - 14. Let d be c(a). Let s be 40\/d + ((-95)\/(-15) - 5). Solve -6*i + i + 2*m - 11 = 0, -3*m + s = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/343 - ((-5720)\/(-1386) - 8)\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*v, -7*t - 2*v = -9*t + 188. Solve -97*w + t*w = -35 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 848\/21019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6695 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 838 - 1610. Let f = a + 789. Solve 3*y = -5*t + y - f, -3 = 3*y for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28726751 - 28726751 - 114*z**2.\nAnswer: -114*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 29 + 2*d**2 + 19 - 4*d - 36 - 3*d**2. Let f(h) = -h**2 + 4*h - 1. Let l be f(5). Let q be w(l). Solve 3 + q = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j. Let r(m) = m**2 + 10924*m + 1. Give r(h(p)).\nAnswer: 16*p**2 - 43696*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -30*((-16)\/5 + 2). Suppose 0 = 3*k - c - 8, -5*k - 2*c + r = 2*c. Solve 4*s + k = 5*s, -5*h - s + 24 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20680897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 3*c**2. Let b(k) = 3*k**3 + 10*k**2 - k + 2. Calculate 7*a(q) - 2*b(q).\nAnswer: q**3 + q**2 + 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9)\/(-1) + -4 + 5.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)**(-7)\/(b\/b**(-1\/4))**(2\/59))\/((b**5*b*b)\/(b\/b**9))**(2\/3) assuming b is positive.\nAnswer: b**(-359\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from papapaxppxpxl. What is prob of picking 3 x and 1 l?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 380\/7 - (-2)\/(-7). Calculate the greatest common factor of k and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, d: 5, w: 2, r: 1, o: 1, u: 5}. Give prob of sequence ouuw.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995187 is divided by 629?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*g + 355, 71 = g + 3*d - 7*d. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-2))\/(9\/(-6)). Suppose 0 = -3*l + 11 + 16. Let t = 3 + 1. Solve l = -t*q + d for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 442, 638, 836, 1036?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -64578 divided by 32289?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 9. Let b(q) be the first derivative of -1\/5*q**2 - o + 2\/5*q + 1\/10*q**4 - 2\/15*q**3. Factor b(m).\nAnswer: 2*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2292 = -3*k + 4*s, 127*k + 1518 = 129*k - s. Does 84 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*z - 31*z + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 9*f**2 + 8*f - 15. Let p be k(5). Suppose 3 = -11*z + 15*z + b, -2*z - 5*b - 21 = p. Determine a so that 4*a - 12 - 1\/3*a**z = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 171 = 3*v, -3*l - 107 = -2*v - 12. Suppose -31*m - v = -57*m. Factor 1\/2*r**2 + 1\/2*r**3 - m*r - 2.\nAnswer: (r - 2)*(r + 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 22*x + 33. Let n(b) = -23*b - 3. Let y be n(-1). What is the units digit of k(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f + f + 2*f)*(-4 - 1 + 3)*(-f - 14*f + 3*f).\nAnswer: -144*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9, 5 in ascending order.\nAnswer: -2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1507951 and 48\/107?\nAnswer: 1507951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6222 divided by -2\nAnswer: 3111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*k**2 - 11\/3*k - 4.\nAnswer: (k - 12)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -7. Let q be (z\/10)\/((-3)\/75). What is the greatest common divisor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esnmnmmemnmnsmmme. Give prob of picking 2 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + -8 + 1164\/60.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 7*h**4 + 7*h**4 + (-6*h**3 + 3*h**3 + h**3)*(-2*h + h + 4*h) in the form w*h**4 + m + q*h + v*h**2 + x*h**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 9 + 14 = 0. Suppose -b + 10 = -2*a, 3*b + 0*b - 24 = 3*a. Is (b - 6) + -1 + r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**6\/480 + z**5\/120 + z**4\/96 + 4*z**2 - 17*z. Let x(q) be the first derivative of w(q). Factor x(h).\nAnswer: h*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 0.32. Let n = 21.78 + y. What is n rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 11.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - -83. Suppose 8 = -2*x, -3*z + 4*x + x = 259. Let o = z + 106. Calculate the greatest common divisor of o and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/9))**(-1\/15) assuming n is positive.\nAnswer: n**(-2\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2\/17, -1240, 116\/151?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 228612.\nAnswer: 2514732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 73*y + 33. Let p be b(14). What is the greatest common divisor of 975 and p?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.032, -0.3, 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 10*j**2 + 3*j + 7. Let b(s) = -3*s**3 + 10*s**2 + 4*s + 6. Let h(l) = -3*b(l) + 4*y(l). List the prime factors of h(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 8*p**2.\nAnswer: -4*p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**(-3\/4)*i))\/(i**(-4)*i))\/(i**0)**46)**(-48) assuming i is positive.\nAnswer: i**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8981465*n**2 + 8981464*n**2 + 8981469*n**2 - 26944399*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 317. Suppose -5*g = -4*j + 699, -2*g - 88 - n = -j. What is the highest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24995 + 0.432.\nAnswer: 24995.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114733 divided by 289.\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1214221451 + 1?\nAnswer: 1214221452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 13, 35, 2, -6, -2 in increasing order.\nAnswer: -7, -6, -2, 2, 13, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -0.1. Let l = -7 - -8. Let p(i) = 4*i**3 + 2*i**2 - 1. Let a be p(1). What is the nearest to c in l, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b7 (base 15) to base 14\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171.29 + 171.3. Put r, -70, -2\/7 in descending order.\nAnswer: r, -2\/7, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.606 - 0.394. Let h = -27.3 - -28.3. What is the closest to -0.3 in y, 11\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 + 2 + -9 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304))**2*6 + (sqrt(76)\/sqrt(4)*3 + (sqrt(57)\/sqrt(3) + sqrt(19))*-3)**2.\nAnswer: 48*sqrt(19) + 2001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 119*y**6 + 130*y**3 - y**2\/2 - 637. What is the third derivative of d(a) wrt a?\nAnswer: 42840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 2*h**4 - 2*h**3\/3 - 7*h**2\/2 - 4*h - 3. Let k be u(-4). Round k to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 12, u: 7}. Give prob of picking 2 u and 2 y.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12410 (base 6) to base 5.\nAnswer: -30003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 5*s + 5. Let a(c) = c**2 + 8*c - 57. Let b be a(-13). Give p(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83826.\nAnswer: 2, 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 985.9 - 986. Let l = -24\/7 + 25\/7. Which is the closest to 0? (a) l (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 494 from 21.\nAnswer: -473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1067, -1212, -1357, -1502, -1647?\n\"Answer: -145*q - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**5 + 5208*r**4 + 6623049*r**3\/2 - 205052701*r**2\/2 + 2024801895*r\/2 - 6422812767\/2 = 0.\nAnswer: -1317, 7, 23\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**3 + 10*d**2 + 1. Let g(c) = -4*c**3 - 5*c**2 - 1. Suppose 15 = 7*b - 20. Give b*g(v) + 3*k(v).\nAnswer: v**3 + 5*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c**3 - 13*c**3 - 49*c**3 - 181*c**3 - 34*c**3.\nAnswer: -255*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 730 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*d - 315*d = -76. Calculate the remainder when 203 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3528 is divided by 100.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -275*p**2*s - p*s + 2524*s with respect to p.\nAnswer: -550*p*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**7\/4200 - s**6\/1800 - s**5\/600 + s**4\/120 + s**3\/6 + 3*s. Let d(m) be the second derivative of l(m). Factor d(g).\nAnswer: (g - 1)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o - 5*o)*(2 - 2*o - 2)*(-1 - 2 + 7).\nAnswer: 64*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -69. Suppose 2*z + 2*g = g + v, -5*g + 20 = -3*z. Let h(a) be the third derivative of -a**6\/120 - a**4\/24 + 2*a**3\/3 - a**2. Calculate h(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*n**2 - 4*n + 4*n + 20*n**2 + 293 - 3*n**2 - 2*n**3 in the form g*n**2 + u*n**3 + d + j*n and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (426\/284)\/(1\/10*-1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1, 0.5, -12\/31?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2584 times -29.2\nAnswer: -75452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144.2 + -144. Put h, 16, -4 in decreasing order.\nAnswer: 16, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67013 is divided by 265?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*i + 23, 0 = -3*i + 5*i + a - 5. Solve 7 = 2*u - 3*s, 2*u + 5*s - 3 = i*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 + 329. Put 0.5, 3, s, 0.1 in ascending order.\nAnswer: 0.1, 0.5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c**3 + 3 + 8*c**3 - 3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 356 - 204. Suppose -4*j - h = -5*h - v, 5*j - h = 190. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 1 + 14. Suppose j + 72 + 189 = -2*c, 5*j = 2*c - 1269. Let i = j - -270. What is the highest common divisor of i and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7719383*g**3 + 7071318 wrt g?\nAnswer: 23158149*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10271055 and 31440.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1680 + 1646 - (1 + -97) - (8 - -1).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 1.3. Let v be -2*((-3)\/3)\/1. What is the nearest to u in v, 5, -0.01?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2\/17 (b) -2\/23 (c) 1\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:55 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110221 - -10110110111012?\nAnswer: 10110110000021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 32*m**2 - 11*m + 5. Let y be p(11). Solve y*l = -q - 10, 0 = 2*q - 2*l - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 5:38 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 4*t + 17 = 9, 0 = -2*h - 4*t + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 8*c - 16. Determine u(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497 is divided by (4 - 0)\/(-4)*-25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1870874, -3741748, -5612622?\nAnswer: -7483496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*n**3 + 79*n - n**2 - 236*n + 78*n - n**2 + 81*n + 5 as r*n + t*n**3 + x + a*n**2 and give t.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1243284 and 14658.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 20 = 0, -2*s + 3*z = -2*z - 21 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25170 and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 - 25. Suppose -5*w + 4*i + 212 = 2*i, 3*w + i = 125. What is the remainder when w is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -0.043, -0.9, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 9. Suppose -9 = -z*m, 0 = -4*k + m + 3*m + 60. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 2)*(-22101*j + 11010*j + 10856*j).\nAnswer: 235*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -0.2, -3, 2, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1601787 divided by -1601787.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42706289, 42706316, 42706343, 42706370, 42706397?\n\"Answer: 27*y + 42706262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 155458*b. Let c(l) = -11*l**2. Give g(c(z)).\nAnswer: -1710038*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((4 + sqrt(242) + -1 + sqrt(242))*-5 + 4)*3)**2.\nAnswer: 23100*sqrt(2) + 219025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1\/2, -1\/4, 4, -3\/4, -503\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4 + -8.4. Let z be (231 - 220)*(2 + (3\/33 - 2)). What is the third biggest value in z, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4508 greater than or equal to 4502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -116. Suppose 0 = -3*p - 2*w + 38, w - 6*w = -3*p + b. Let f = -56 - -86. Calculate the lowest common multiple of f and p.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 4, g: 2}. Give prob of picking 1 l and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -7\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17*((-26)\/4 - -4) and -11\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*x + 68 = 0, -3*d + 141 - 110 = x for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-17)*(-10*(-35)\/(10500\/(-40)))\/(-6).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 60543 and -0.5.\nAnswer: 60542.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246574.\nAnswer: 2, 31, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9329.16 months in years?\nAnswer: 777.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 181*j**2 - 2030*j + 25888. Determine h(-168).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-3))\/6)\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 + 4 = 0. Let s(i) = 59*i**2 - 18*i + 10. Let k(o) = -131*o**2 + 40*o - 22. Let n(w) = 9*k(w) + 20*s(w). Determine n(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-55))\/((128\/(-8))\/720)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 + -3 + 5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16084*-0.41.\nAnswer: 6594.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 843*x**5 - 499*x**5 - 3 + 3 + (1 + 1 - 83*x**2 + 82*x**2)*(x**3 - 3 + 3).\nAnswer: 343*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2 - 4563*o - 4564 = 0. Calculate o.\nAnswer: -1, 4564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667*w = 159*w + 2032 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**2 + 4*n - 2. Let x be y(3). Let q be 2\/x + 21\/4. What is the second derivative of -o - 2*o**5 + 2*o**5 + 2*o**q wrt o?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 25806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -161002640 - 1?\nAnswer: -161002641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188 + -168 - (-1 + 38).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1511922 by -3.\nAnswer: -503974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*y + 60 = 3*i, 3*y - 19 = -i. Let l(z) = -z**2 + 8*z - 7. Let s be l(6). Suppose -s*v + 7 = -3. Solve -2*k - v*k - i = -o, -14 = 5*k + o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 848 - 429. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/403098 and 155\/18906.\nAnswer: 55224426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3674 divided by 334.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1116748 or -1116749?\nAnswer: -1116749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 28*a**3 + a**2 + a - 1. Let z be h(1). Let p = z + 15. Suppose -5*r - 4 = -p. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 238118\/21 - 11341. Let u = 1034\/595 + -2\/85. Let i = u + o. Which is the third biggest value? (a) 0.4 (b) 4\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 131 = 2*c. Suppose 2*b + 5*m + 71 = 0, -2*b + 3*m - 36 = 75. Let j = b + c. What is the remainder when 56 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrrcyyhcyyfxxcfccrcf. What is prob of picking 1 f, 1 y, and 2 x?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4977.38 + 4980. What is the third smallest value in 3, g, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1738 (base 10) to base 16\nAnswer: -6ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and 0.0030697?\nAnswer: -0.030697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/9 and 34\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v - 2060. Let x(j) = 2*j + 119. Give a(p) - 3*x(p).\nAnswer: -p - 2417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 + -206. Suppose 0 = -14*z + h*z + 54. Solve 3*g + g = -4*t + 8, g - 3*t - z = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 120, 143, 130, 69, -52?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a + 9*a + a + 6*a to h + k*a and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 31*p**4\/4 - p**3\/3 - p**2\/2 - 11. Let v be j(-1). Let l = 4 - v. What are the prime factors of l?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 350 = 3*f. What is the greatest common factor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/20)\/b*b*b)\/((b**(-6)*b)\/b))\/((((b\/((b*b\/(b*b\/(b*(b\/b**9*b)\/b)))\/b))\/b*b)\/b)\/(b*b**(-4))) assuming b is positive.\nAnswer: b**(-59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 + 15*n - 28. Let j be a(8). Let x be ((-600)\/j)\/((4\/(-6))\/(-2)). Calculate the greatest common factor of x and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 15*i**2 - 15*i + 38. Let m be g(-14). Suppose -25*t + 38*t = m. Solve 3*r = t*o + o + 24, -18 = 4*o - 2*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -17. Which is the smallest value? (a) s (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 35. Solve 4 + 4 = -s*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5729 + 6*j + 5645 - 8*j as u*j + c and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5825*l**3 + 757*l + 18. Let h(m) = -647*m**3 - 84*m - 2. Let b(g) = -38*h(g) - 4*s(g). Find the second derivative of b(q) wrt q.\nAnswer: 7716*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 283 (base 10) to base 15\nAnswer: 13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1258775 * 0.3\nAnswer: -377632.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 106)\/(-394 - -395)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 6202*m + 24753. Determine h(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/8)*t**(-2\/17))**50\/(((t*t**8)\/t**(-1\/12))\/((t*t**0)\/t)**(-2\/151)) assuming t is positive.\nAnswer: t**(-3439\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 199431317 a multiple of 5779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 a when two letters picked without replacement from attaddadaa.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**3 + h**3 - 4*h**3 - 30*h**3 - 41*h**3 + 16*h**3 + 0*h**3 - 5*h**3 + 6*h**3 + (-h**3 + 4*h**3 - 5*h**3)*(4 - 1 - 1).\nAnswer: -59*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1700)*3 + (2 + sqrt(1700) + 3)**2.\nAnswer: 190*sqrt(17) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-260.\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -371.0764 - -0.0764. Let k = -375 - z. Let g = -0.1 - -0.1. Which is the fourth smallest value? (a) 3\/8 (b) g (c) 0.06 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 645 = 129*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 70322 + 1018. Is 145 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, v: 3, l: 1, i: 5, w: 3, a: 4}. What is prob of sequence iihl?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 - 2*t**4 - t**3\/3 - 27*t**2 - 963*t. Let f(o) = -24*o**2 - o - 1. Let s be f(-1). Give v(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n**2 - 2 - n**3 - 3*n - n**3 + 4*n**3. Let g(b) = b + b + b**2 + 1 - b**3 - b. Let k be 4\/(-6)*3\/2. Calculate k*f(c) - 4*g(c).\nAnswer: 2*c**3 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 3:47 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6}. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(420)\/sqrt(175) + sqrt(60) + sqrt(60))\/sqrt(12) - (5 + -2*sqrt(5)*5)*1)*3.\nAnswer: -15 + 348*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 + 5*r + 5. Let x(v) = -v**3 - 13*v**2 - 11*v + 10. Let m be x(-12). Let h be n(m). Is 185\/1*h*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + l - 1. Let j(w) = -1570*w**3 - 9*w + 1567*w**3 + 9 - 26*w**2 + 50*w**2 - 24*w**2. Calculate 5*j(y) + 45*v(y).\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 33.5 + -34. Which is the nearest to -0.1? (a) 1\/5 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0, 22998 in decreasing order.\nAnswer: 22998, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 3*f - 81. Is 33 a factor of c(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 111104136 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81 + -15 + -90 - 49?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = 4. Let n(b) = 2*b**2 + 0 + 3 - 2*b + 0*b - 4*b**3. Let o = 19 + -18. Let q(v) = v**3 - v**2 - 1. Give o*n(u) + p*q(u).\nAnswer: -u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -50, -99, -148, -197?\n\"Answer: -49*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**16*i**(1\/19)\/i)\/(i\/(i*i*(i*i**(2\/9))\/i*i*i))**(1\/8))**(-2\/65))**(-2\/125) assuming i is positive.\nAnswer: i**(21143\/2778750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 218 rounded to the nearest 10?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 9 - 2*z - 9*z**2 - z**3 - 1 - 5*z. Let x be o(-8). Is -1\/2 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*a**5 - 195*a**4 - 1400*a**3 - 4250*a**2 - 3750*a + 3125.\nAnswer: -5*(a + 5)**4*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6921274 to two dps.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*(t*t\/(t**(-14)*t)*t*t)\/t)\/t)\/((t**(1\/13)*t)\/t))\/(((t*t*t**(1\/12)*t*t*t)\/t)\/t**12) assuming t is positive.\nAnswer: t**(3719\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -39 + 22 + 19 + 138*j. Let f be x(-9). Let d = f + 4767. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 14) to base 10\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (54\/81)\/(1 + 1). Let p = -23 + 18. Let h = 0 - -0.1. What is the nearest to h in 0, a, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -16*z**2 - 181*z + 36. Give u(-12).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9966061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - -15. Calculate the lowest common multiple of 46 and g.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -537.2606 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 4*s - 10*s + 1 to the form c*s + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:57 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*i**3*u**2 + 4*f*i**3 + 2*f*i**2*u**2 + f*i**2*u - 2*f*i + 8*i**3*u**2 + i**2*u**2 wrt i.\nAnswer: 6*f*u**2 + 24*f + 48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.76755 times 1030?\nAnswer: -790.5765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1658693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -669754 divided by 56\nAnswer: -334877\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-10)*((-1)\/7)\/((-60)\/140).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 - 5*k**3 + 2*k**2 - 9*k**3 - 1 + 4*k**3 as z + i*k**2 + l*k**3 + w*k and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 4*a - 68, -4*t + 0*a - 5*a + 69 = 0. Find m such that -t*m**4 + 58*m**2 + 4*m**3 - 4*m**5 - 10*m**2 - 36*m + 7*m**3 - 3*m**3 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d = 0. Let g = 0 - d. Let r be -1 - -2 - g - -16. Solve -2*w + r = 3*p, -4*w + 0*p - 5*p + 31 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12160401, -12160403, -12160405, -12160407, -12160409, -12160411?\nAnswer: -12160413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58086 or 522766\/9?\nAnswer: 58086","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2316, -2, 3, 32, -3, -21.\nAnswer: -2316, -21, -3, -2, 3, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*l + 4, 0 = 4*h + 2*l + l - 20. Let i = 47 + -44. Let n be (h\/4)\/(i\/(-2)). What is the nearest to -0.4 in 4, -3\/2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 962500 and 268730?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**4\/3 + 455*u**3\/3 - 5*u**2\/3 - 455*u\/3 = 0.\nAnswer: -91, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35, 57, 73, 83, 87?\n\"Answer: -3*f**2 + 31*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 + q. Let l(u) = -146*u**3 - 3*u**2 - 2*u + 1. What is -3*h(o) - l(o)?\nAnswer: 143*o**3 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**3 - 6*c. Let x(d) = -d**3 - d**2 + 1. Let j(r) = o(r) - 4*x(r). What are the prime factors of j(-4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 94 + 82. Let q = 6 - 4. Calculate the common denominator of -2 + k\/9 + (-10458)\/(-1296) and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -235249380 divided by 11762469\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-36)*j))**5 assuming j is positive.\nAnswer: j**180","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89751944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) -24782 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 + 1 = 0. Suppose -u*s + 18 = -6. Is (-7036)\/(-24) - 1\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:58 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/38 and 107\/210.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9290 is divided by 4606.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 5 + 8 + -31\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33480379*p**4 + 893*p + 11971 wrt p.\nAnswer: 401764548*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -1)\/((-11)\/(-66)). What are the prime factors of 426\/27 + s\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 34 = -78. Put 146, -1, b in increasing order.\nAnswer: -1, b, 146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*g = -8*g - 3*g + 33129. Let j(r) = -11*r**2 + r - 7. Let i be j(-6). Is g greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*y - 7. Suppose d = -2, 4*f - 4*d + 3 + 9 = 0. Let z = y + f. Calculate the common denominator of z and 22\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4244*y**5 + 1283*y**5 - 263*y**2 - 253*y**2 + 437*y**5 - 3174*y**5 - 10*y + 2 wrt y.\nAnswer: -341880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -12\/11*y + 13\/11*y**2 - 6 + 7\/22*y**4 + 52\/33*y**3. Factor k(w).\nAnswer: 2*(w + 1)*(w + 3)*(7*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -215, -429?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31160.1*-3.\nAnswer: 93480.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 11 = -10. Solve -9 = 3*n, 4*n + 2 = 2*a + h*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1956647*w + 3004243*w - 1440641*w.\nAnswer: 3520249*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 + (-45 - 64) + -29?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40480 - 14082 = 4*d + 5*c, 0 = 4*c - 24. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**7\/420 - 11*q**6\/30 - 611*q**5\/60 + 1309*q**4\/2 - 42483*q**3\/4 + 1034*q**2 - 2. Let z(l) = 0. Calculate l.\nAnswer: -51, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 8*r = 0. Let w be r + -1 + 1 + 2. Let o = -2.2 - -2. What is the nearest to w in o, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.88 to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.08, -5, -2\/5, -364, 2.9 in descending order.\nAnswer: 5, 2.9, 0.08, -2\/5, -5, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 155*n + 55. Let d be 4 + -8 + 28\/12*3. What is the hundreds digit of y(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 30 = -s. Suppose 0 = -5*b + 5*q + 3920, -22*b - s*q = -27*b + 3926. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15246 > 15245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*i + 116*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150\/67 + 36569\/335. Let z = m - 111. Which is the third smallest value? (a) 2 (b) 6\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13847 + 94873\/7. Let p = i + 295. Let v = p + -31\/35. Put v, 0.5, -1\/7 in decreasing order.\nAnswer: 0.5, v, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/11)\/(f\/((f\/f**0)\/f))*f**(3\/2)\/f**(-2\/5) assuming f is positive.\nAnswer: f**(119\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 997063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -698516 divided by 33?\nAnswer: -698516\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -346*m - 4173. Does 8 divide u(-103)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a2a6eb7 - 1?\nAnswer: -a2a6eb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2323 (base 4) to base 5.\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 433, 444, 469, 514, 585, 688, 829?\nAnswer: 1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 + 52 + 1038*t**2 - 359*t**2 as u + v*t**2 + q*t and give v.\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + -6 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -263 - 5?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2. Let r be p(-2). Is (1324\/r)\/(1\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5216 - 1347. Let i = 1478 + a. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249596355?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 26358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -x**2 + 81*x - 200?\nAnswer: -2*x + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*l - 8. Let v be (8\/(-110))\/(l\/(-20)). Is 1 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 329 + -322. Let n = -2 + 5. Solve 2*d - p + 2 = 0, n*d + p = w*d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 63\/8*b**3 - 225 + 1105\/8*b - 1\/8*b**4 + 633\/8*b**2.\nAnswer: -(b - 72)*(b - 1)*(b + 5)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465785951 divided by 1\nAnswer: -465785951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2085685*z + 2085994*z + 9270 = 0 for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 20*z**4 - 2*z - 33*z**4 + 16*z**4 to the form g*z**4 + p*z**3 + l*z**2 + x + k*z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.04391?\nAnswer: -4.95609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1163, 2335, 3521, 4727, 5959, 7223, 8525?\n\"Answer: a**3 + a**2 + 1162*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + sqrt(1152) + -5 + 6*((sqrt(1152) - (-5 + sqrt(1152) + sqrt(1152) - sqrt(1152))) + -1))**2.\nAnswer: 960*sqrt(2) + 1552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-4*sqrt(12) - (4 + sqrt(27))) + 6*(sqrt(3) + (1 + sqrt(3))*-6 - (sqrt(3) + -4 + sqrt(3) + 1)))**2 + -3.\nAnswer: 2332*sqrt(3) + 8913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0268 in 0.093, 5, -32?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0055 + -240.0055. Let q = a - -240. Let y = 0.08 + 0.02. Sort q, -4\/7, y.\nAnswer: -4\/7, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = 2*c. Let a be (-6 - -5) + 2 + c. Suppose a = f - 4*f + 66. What is the remainder when 85 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 59050.8?\nAnswer: -59049.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000104 to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(5*(-2 + -2*sqrt(275) + -3) + 2 + -1))**2.\nAnswer: -2246080 - 192000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 5*k - 11 = 16*o, 12 = 3*o - 2*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*b + 17*b - 8*b - 132 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19e - 2?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 255825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 divided by -160.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 64, 6, 0.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-190)*65334\/(-540). Let s = -6\/475 + u. Calculate the common denominator of (-117)\/4*(-4)\/66 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2336cd3 + -1?\nAnswer: -2336cd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8 less than 0.0053?\nAnswer: 2.8053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbpqwnt. Give prob of picking 1 n, 1 q, and 1 t.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let d = -1 - 2. Let v be g(d). Let m(f) = f**3 + 6*f**2 - 2*f. Let n be m(v). What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50431*x + 50448*x = 654500. What is x rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37156 - 82\nAnswer: 37074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -201 - -204. Suppose -d*x + 135 = 87. Calculate the remainder when 60 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 721666*t**5 - 2*t**4 - t**3 - t**2 - 17*t - 50620 wrt t?\nAnswer: 43299960*t**2 - 48*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*s - 69*s = -4*a + 28, 5*a - 37 = -3*s. Solve -a*d = 4*l - 15 + 6, d - 5*l = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Suppose -2*g + 4*g - 8 = 0, -g - 21 = -h*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/41, -4\/7, -0.5, -3\/2, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1222616.8 to the nearest ten thousand.\nAnswer: -1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1962, 4, 2006, 0, -1, 1 in decreasing order.\nAnswer: 2006, 4, 1, 0, -1, -1962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3\/5 (b) 2 (c) 5 (d) -16.131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*m**4 - 2*m**3 - 12*m**2 - 23670*m + 23668*m + 8*m**4 as k*m**3 + p*m**4 + w + z*m + x*m**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 + 13.3. Let n = 0.26 - 10.26. Let m = n + u. Sort -0.4, m, 2\/7.\nAnswer: -0.4, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v + 28 = 4*y, -6*v - y + 70 = -v + 49 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 9*g - 6. Let x be p(10). Let f be 2\/(-4) + 2\/x. What is the third derivative of 14*k**2 - k**5 + f*k**5 - 12*k**2 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -7. Let z = 6 - 4. Let l = y + z. Is 2 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 11. Let m = 16 - n. Let t = 62 + m. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a**2 - 2. Let q(s) be the third derivative of s**5\/4 - s**4\/24 + s**3 - 188*s**2. Calculate 7*g(d) + 2*q(d).\nAnswer: -5*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/32*12\/(-3). Solve -d - d + 11 = g, s*d = 4*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3326, 13380, 30154, 53648?\nAnswer: 83862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67893.\nAnswer: 3, 7, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/38)\/(3\/12) - 371835\/(-855) is divided by 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 + f**4\/2 - 7*f**3\/6 + 6*f**2 + 26*f. Let c be n(5). Solve -5 = -r - 5*g, -3*g - 15 = -3*r - c*g for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2048 - 2820. Is b at least as big as -771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/6 (b) -0.03 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 55. Let y = 7 + u. Let i(j) = -j**3 - 4*j**2 - 2*j + 2. Is i(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-2516\nAnswer: 276.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 145494 and -115.\nAnswer: -16731810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-12))\/((-22)\/132). Suppose u + 4*d = 5*d + 61, d = -w. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/55650532 and 57\/79500760.\nAnswer: 556505320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 8*n - 99, 4*o + 431*n = 436*n - 72 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, u: 8, w: 3, c: 7}. What is prob of picking 1 u and 2 c?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 2:31 AM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0*m - m + 3*m + 0*m - 8. Let a be d(6). Let n = -2 + a. Solve l - 3 = q, 2*q = q - n*l + 12 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1619 + 2612 = 5*l + 3*u, -5*u = 4*l - 3377. Suppose 3*j - 1003 - 268 = -5*m, 2*j + 3*m - l = 0. List the prime factors of j.\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3884, 3890, 3906, 3938, 3992, 4074?\nAnswer: 4190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from ddnenggdlcg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377, -761, -1147, -1535, -1925, -2317, -2711?\nAnswer: -3107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8. Let o(j) = -j**2 + 8 + q*j - j + j**3 - 6*j**2. Determine o(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110010101 (base 2) to base 6.\nAnswer: 4125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*p - 7*i = 371, 84*p - 2*i = 37*p + 43*p + 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13252300 rounded to the nearest one hundred thousand?\nAnswer: -13300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3711202 is divided by 779?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 92809150*m**3 - 24781526*m.\nAnswer: 556854900*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*k + 1000 = -12*k. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/2 - 5*o**4 - 456*o**3 - 5328*o**2 - 17280*o = 0.\nAnswer: -12, -6, 0, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((s\/s**10)\/s)\/s)\/s)\/s*s*s)\/((((s\/s**(1\/13))\/s)\/s)\/s)*(s**0*s*s)**(-1\/35))**(-37) assuming s is positive.\nAnswer: s**(151182\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5480, 10963, 16446, 21929, 27412?\nAnswer: 32895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94632.19329 + 94635. Let u = y - 2.825. What is u rounded to 3 dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25834264 * 0.5.\nAnswer: 12917132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53158\/225 + 5112\/25. Let r = g - 140\/9. Let s = r - -48. Which is the nearest to s? (a) 0.1 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = -4*p + 3, 3*p - 3 = 0. Suppose -2*l + 52 = 4*k + 3*l, 4*l = x. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1539) + (sqrt(1539) - (-5 + sqrt(1539) + 0)))**2 + sqrt(1539))*-1 - 3*-4*-6*((-1 + sqrt(1539))**2 + sqrt(1539)).\nAnswer: -104624 + 1044*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 12605*b**3 - 50*b**2 - 25. Let m(y) = -2101*y**3 + 8*y**2 + 4. What is 25*m(c) + 4*x(c)?\nAnswer: -2105*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b. Let n(r) = 14 + 13 - 42 + 17 + 16*r. Determine n(f(c)).\nAnswer: 16*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = 5*v - 4*k - 114, 2*k = 4. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/4)\/(7\/210). Let u = 37 - m. What is the smallest common multiple of u and (-10)\/2 + -49 + 58?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -5055058056504.2.\nAnswer: -5055058056509.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 4*l**2 - l + 1 + 5*l**2. Let u(t) = 6*t + 2. Let x(g) = k(g) + u(g). Determine x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 103640?\nAnswer: 1140040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 4) to base 15\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05055 and -0.2.\nAnswer: -0.01011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + 4 + 1854\/153*-1. Which is the nearest to 16? (a) -5\/3 (b) m (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 12 (b) -1.3 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 137 - 343 = 126*j - 37*j, 2*h = -3*j - 74 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -32*p - 428. Calculate d(-20).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + n - 12. Suppose -34*c - 4*s - 8 = -46*c, 5*c + 4*s = -8. What is r(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7*b + 150 = 0. Let z be 6\/(-9)*b\/2. Suppose -z*a + 2 = -24*a. Calculate the remainder when a is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-6)\/(-8))\/(-1))\/(19\/(-76)). Let d(v) = 14*v**3 + 11*v**2 + 8*v + 6. Let u(q) = 5*q**3 + 4*q**2 + 3*q + 2. Determine t*d(w) - 8*u(w).\nAnswer: 2*w**3 + w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o*o**(-2\/5))*o*o)\/o)**(1\/11)\/(o**(-1\/2)\/(o*o*o*o**(2\/9)*o)) assuming o is positive.\nAnswer: o**(4891\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67770000 rounded to the nearest 1000000?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-7 - (2 + -8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263\/3 - 86. Which is greater: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1461 = 18*z - 2823. Calculate the highest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (9 - (29 - 13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 greater than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 464367971?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*g + 110 + 206 = 0, -5*r - 5*g + 395 = 0. Calculate the remainder when 626 is divided by r.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5639 - 21164 = -207*z. What is the smallest value in z, -1, 0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - (10 + -6 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 - -155. Suppose o = f*o - 63208. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 131, 206, 311, 446?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 43?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 3588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 209043592 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.86913 rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1749 and 3339?\nAnswer: 36729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by (718\/8)\/(51\/408)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -194 + 15*n**5 + 81*n**3 + 495\/4*n**4 + 18*n - 159\/2*n**2. Solve k(t) = 0.\nAnswer: -6, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 343 + -341. What is the nearest to -2 in 4, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 21*i**2 + 14*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.08 + 22. Let b = -7 - k. Let u = b - 2.08. What is the closest to u in 5, -2\/5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1073, -620, 125, 1156, 2467, 4052?\n\"Answer: -s**3 + 152*s**2 + 4*s - 1228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 less than or equal to 9498\/36029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-22) - 0 - -1. Let v = -525.35 - -515. Let s = 10.3 + v. Do y and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 1589.000012873 - 1589. What is z rounded to seven decimal places?\nAnswer: 0.0000129","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -75.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16673942 is divided by 485.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-716)\/84 + 8)\/((-11)\/66)\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**5 + 780*x**4 + 46080*x**3 + 797600*x**2 + 5242560*x + 11715264 = 0.\nAnswer: -86, -11, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 40 = -2*y. Suppose -2*f = 8, 3 - y = -5*c - 2*f. Is 14\/c*(-87)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26140000 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5\/3. Let q(w) = w**3 - 40*w**2 + 2*w - 81. Let s be q(40). Sort s, i, 4, -5 in descending order.\nAnswer: 4, i, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40423 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 31 = -5. Let b be (g\/(-30))\/(2\/(-10)). Let y = 7 - b. What is the least common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85130221 - 6280499.\nAnswer: -91410720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 253440 divided by 22\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 6*q - 2*q. Let r be ((-147)\/q)\/7*2. Suppose d - n = 3*d - 1, 0 = 5*d + 4*n - r. Which is bigger: -1\/4 or d?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147560*w**3 - 6229*w + 6229*w - 480*w**3.\nAnswer: -148040*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3409416001?\nAnswer: 29, 117566069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 7*o = -3*o + 9, o = 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27154, 54317, 81480, 108643, 135806, 162969?\nAnswer: 190132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17487686 is divided by 38.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.39 - 0.61. Sort -0.2, o, -4, 3\/10.\nAnswer: -4, o, -0.2, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438225 is divided by 1599?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 87*c - 85*c + 2*c**3 + 4*c**3 as d*c**2 + i*c**3 + k*c + l and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5833 and -0.3.\nAnswer: 1749.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.847 and 6?\nAnswer: 6.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuw. Give prob of sequence wuu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1400 and -89\/200.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**4 - t**4 + 2*t**4)*(-1 + 4 + 3).\nAnswer: -18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a + 14. Let m be b(5). Suppose o + 0*x = -x - 2, m*o + 16 = 4*x. Let q = 0.25 - -0.05. Sort o, q, -6 in decreasing order.\nAnswer: q, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 + 1 = m, 0 = -2*h - 8. Put -4, 4, m in decreasing order.\nAnswer: 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*v + 5*v. What is the closest to v in -0.2, -1\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let z = l + 6. Let q = 19 - z. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -2. Let d = 0.22 - 10.22. Let o = d - -15. Which is the nearest to -1? (a) o (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/29 (b) -34\/81 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 2?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a)**46*a**(-1\/5)\/(a**(-12)\/a) assuming a is positive.\nAnswer: a**(-396\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.4 - -6.4. Put -1\/4, -3, u in increasing order.\nAnswer: -3, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w - 10 = -2*r, 3*r - w = 37. Suppose -k + 0*o - 10 = -2*o, k - 4*o = -14. Let s = k + r. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 29. Let j be 14\/21 + (-50)\/r. Let s = 21 + j. List the prime factors of s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g*i**2 + 124*g*i*s + 2*g - 6*i**2*s**3 + 6*i**2*s**2 - 241*i**2 - 46*i*s**3 + 3*i*s**2 + 2*s**3 - 1 wrt i.\nAnswer: -2*g - 12*s**3 + 12*s**2 - 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44409379 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 4*y**2 - 4*y. Let m(c) = -2*c**3 + 9*c**2 - 9*c. Determine -9*d(l) + 4*m(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(425) - (-2*sqrt(425) + sqrt(425)) - sqrt(425)))*4.\nAnswer: 16 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-6)*69\/(-46)*14?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/194369718 and -133\/200010.\nAnswer: 971848590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h)**(2\/77)\/(h*h*h**(-1))**(-11) assuming h is positive.\nAnswer: h**(846\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((-1 - -7) + -3 + 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.085 + -31.085. Let t = -26 - z. What is the closest to 0 in -0.4, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**6 - 5557*l + 135*l**2 - 413*l**2 + 5557*l wrt l?\nAnswer: -1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20443384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:53 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 20*z - 15*z. What is the least common multiple of z and 39?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -409*n**3 + 6177*n**2 - 6330009.\nAnswer: -1227*n**2 + 12354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + 3*b + 2*b - b + 2*b + b + (2 + 2 - 6)*(-4 + 4 + 2*b) + 5*b - 5 + 5 + 4*b - 3*b + 0*b + 5*b - 2*b - 2*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**4 + 2*c - 6*c - 4*c**4 - 5*c - 2*c**2 as y*c + t + u*c**2 + q*c**3 + i*c**4 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(429)\/(sqrt(22)\/sqrt(2)))\/(4*sqrt(18)\/sqrt(6)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5181\/4 - 11\/44 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 20 = 3*c. Suppose -30*b + 29*b = c. Let w = 487 - 487. What is the closest to 0 in -7, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334168927 is divided by 1379?\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 363*a - 331 = 4148 - 1897 + 4315 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 2438052548.\nAnswer: 2438052548.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + k - 984 = 0, 5*f + 1205 = 2*k - 7*k. Let j = f + 546. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (145\/(5800\/10))\/(((-9)\/(-4))\/3)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*y**4 - 3*y + 3*y + (54 - 1 - 8)*(y**4 - 5*y**4 + 3*y**4).\nAnswer: -108*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69908861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/12)\/(9\/(-60)). Suppose v*w - 1313 = 992. Suppose j - 88 = 4*c, 0 = 5*j - 2*c + 3*c - w. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -66*v + 257. Let h(z) = z**2. What is m(h(p))?\nAnswer: -66*p**2 + 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 129 - 23*v**2 - 130 - 2*v**3 in the form i*v**3 + u*v**2 + x + q*v and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -923*g + 23454 - 71450 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - 9*(-8)\/24. Which is the nearest to v? (a) 54 (b) 3\/5 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*a**2*d**2 - 1138*a**2 + 61319*a*d**3 + 220*a*d - 16*d**2 - 154 wrt d?\nAnswer: 206*a**2 + 367914*a*d - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*f + 64530 = 115*f. Which is smaller: 1442 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 6*r + 5. Let t(w) = 0 + 2 - w**2 + 4 - 7*w. Let l be t(-7). Let z be v(l). Solve -5 = -k - 5*h + h, 19 = -3*k + z*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.20862 and -0.6.\nAnswer: -0.39138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 17. Let r = 8 + p. Sort 0, 2, r in increasing order.\nAnswer: 0, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 10, d: 4, c: 1}. What is prob of sequence pcdp?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 160\/400*(8 + -1 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2216, -2217, -2218, -2219, -2220, -2221?\n\"Answer: -b - 2215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 946750.5+135\nAnswer: 946885.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4466, 14036, 29988, 52322, 81038, 116136?\n\"Answer: 3191*c**2 - 3*c + 1278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2998 + 14*c - 2994 + 6028)*(-2 + 3 + 1).\nAnswer: 28*c + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9450478 rounded to four dps?\nAnswer: 0.945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.73, -6, 0, -0.3, -4\/11.\nAnswer: -6, -0.73, -4\/11, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 713.42147 and 0.1.\nAnswer: 713.52147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:35 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*w + 11 = 0, 3*d + 5*w = -0*w - 4. What is the smallest common multiple of 10 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -32 + 49 + (1 - 11).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 6714*f**3 - 3907*f**2 - 26235504*f - 26224884 = 0. Calculate f.\nAnswer: -6714, -62, -1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*f - 41, 3*f - 40 = -7*k + 2*k. Solve 3 = 6*p + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/714 and 17 + -76 + 59 + ((-67)\/(-3808) - 0)?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 2*q - 46, -4*f = -q + 43 - 6. Is (-5)\/f + 661\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 smaller than 7\/170859?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423531?\nAnswer: 3, 47059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406127 divided by -1?\nAnswer: -1406127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 44919366 to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/911 or 0?\nAnswer: 1\/911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*j + 41*j - h - 2121, 4*j - 5*h = 1722. What is the remainder when j is divided by 215?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -85 - 219596?\nAnswer: -219681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 6:40 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*u - 12, -3*l - 10 = -5*l - 2*u. Suppose -i - 23 = -11*k + 6*k, l*i - 11 = -k. Solve 0 = k*w + 3*b - 9, 6*b + 18 = 4*w + 3*b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.6279646 to zero decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -3\/4*q**4 + 7*q + 25\/2*q**2 - 7\/6*q**3 - 1\/20*q**5 + 0. What is the units digit of j(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v = 4. Which is greater: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*f**2 - 94*f**2 - 60*f**2 + 292*f**2 - 47*f**2.\nAnswer: 58*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 17*y + 4*v + 1656, -3*y + 5*v = -1230. What is the lowest common multiple of y and 1638?\nAnswer: 16380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -3*d**7\/8 + 143*d**6\/20 - 2977*d**5\/80 + 1693*d**4\/24 - 125*d**3\/2 + 27*d**2 + 79*d. Let j(h) = 0. What is h?\nAnswer: 2\/7, 2\/3, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 5. Let k be t(7). Suppose 15 = k*z + 5. Suppose z*j + j - 42 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -39*t + 1. Suppose -6*d + 3*d - 4*u - 2 = 0, -u = -d - 3. Let j be v(d). Let r be -100*(j - (-3)\/1). Round r to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49675431 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 + 99. Let s = 91 - 8. Calculate the remainder when s is divided by k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + n. Let s = -17001 + 102007\/6. Let g(h) be the second derivative of 13*h + 0 - s*h**3 + 0*h**2. What is k(g(w))?\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -4. What are the prime factors of ((-18)\/(-15))\/(d\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159251 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 5 + a + 4 + 2 - 18. Let u be (8 - 1)*(0 - -1). Determine h(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1088416 + 102505. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*s + 641 = 306*s + 7453 + 1417 for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-72)\/18 + 3\/9 and 23\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x - 1. Let l(n) = 4445 - 7*n + 14*n - 4448. Calculate 3*l(i) - 5*m(i).\nAnswer: i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -479170 and 1.02.\nAnswer: -488753.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 329673931*n**2 - 329673931*n**2 - 52*n**3.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16285 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.017 + 63.983. Let a = -74.611 - -0.911. Let u = p + a. Round u to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2 + 2*a - 2. Let d(g) = -85*g**2 + 25*g - 25. What is 2*d(p) - 25*k(p)?\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r + r**2 - 22*r + 12*r. Let l be t(-4). Solve l + 4 = -2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -65.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(160\/10))\/((-1)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*1*(-4)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 - 2*x**2 - x.\nAnswer: -x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 647.33, 7, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 + -128. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 - 2897*m**2 + 9*m**3 + 3038*m**2 - 15*m**3.\nAnswer: -m**3 + 141*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 175589.1 centimeters?\nAnswer: 1755891000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 8*t**2 - 6*t + 9. Let k be b(-7). Let u be (-10)\/4*(-10)\/5. Solve -n + 20 = -u*h, -3*h = -h + k*n + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2\/51 (b) 5\/2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - 30\/(-6))\/((-1)\/(-4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.00705359.\nAnswer: -0.00705359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 15 - 9. Let c(m) = -8*m - 26. Suppose -2*h - 2*f - 18 = -6*f, -3*h + 4*f = 23. Calculate the remainder when c(h) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 13*v - 8*v - v - 5*v. Let u(s) = 0*s + s - 5*s. Determine u(f(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/1004? (a) 2 (b) 60 (c) 5\/2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - -3 - (1 + -3). Suppose 0 = -3*z + z - k. Let p be -1 - (-4)\/3 - 0. What is the nearest to p in 2, z, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119, 121, 125, 131, 139, 149, 161?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27634, 55258, 82880, 110500, 138118?\nAnswer: 165734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29 (base 15) to base 2.\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/468 + ((-27491)\/481 - -57).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*c + 1 - 109*c - 3 - 4 + 2.\nAnswer: 4*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -39)\/(3\/4). Round g to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5644073 to the nearest integer?\nAnswer: 2376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4338639383 to the power of 1\/3, to the nearest integer?\nAnswer: 1631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.5. Let p be (2\/8)\/(10\/(-8)). Let z = 1.1 + -0.9. Put z, y, p in decreasing order.\nAnswer: y, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 223615\/6 + -37437. Is -168 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*c - 29*c + 33 = 45*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 7*z**2 + 5*z**2 - z)*(-8874 - 443*z + 8874)*(3 + 1 - 2) - z**3 + z**3 - 2*z**3.\nAnswer: 2656*z**3 + 886*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**3\/2 + 3*d. Let b(j) = 3*j - 1. Let n be b(1). Let g(h) = h - h - n*h**2. Calculate g(s(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/40 and -59\/4143560.\nAnswer: 4143560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.908 - -0.808. Let f = -2 - -3. Which is the closest to -0.2? (a) u (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116663 is divided by 23309?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -3 + 9, -3*m = -4*h + 162. What is the common denominator of ((-1010)\/m)\/((-24)\/10) and -89\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27\/4, -3, 1\/53 in decreasing order.\nAnswer: 1\/53, -3, -27\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43964 or 0.6?\nAnswer: -43964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from xuqouq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 + 1*180\/(-312) + (-5640)\/195?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2286 - -11135. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.2 (b) 1 (c) 1192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 + w**2 + w - 1. Suppose 5*p + 16 + 19 = 0. Let h = 8 + p. What is n(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 346*a + 4181 = 3926 - 5781 - 6074 for a.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2443 + 0.2443. What is the smallest value in -11, 2\/3, f, -2\/49?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, k: 5, h: 5, u: 2}. Give prob of sequence uxxu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/60)\/((-66)\/660)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(912) + sqrt(912))*-4)\/(sqrt(27)\/(sqrt(9) - (-3*sqrt(324) + sqrt(324)))).\nAnswer: -624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n + 67. Calculate q(-31).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 5, -106, -2303 in increasing order.\nAnswer: -2303, -106, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4 (c) -2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.96 in 5\/4, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100297 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.365 - 0.035. Let p = 0.4 + f. Which is smaller: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.4. Let u = -121 + 121.4. Which is the nearest to 4? (a) l (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 57*g + 40. Let d(k) = k + 2. Let m(t) = -4*d(t) + q(t). What is the units digit of m(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*w**5 - 114*w**3 + 174*w**2 wrt w?\nAnswer: -120*w**2 - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.39653, 0, 0.47, -2, 1 in ascending order.\nAnswer: -2, -0.39653, 0, 0.47, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3367.404s to hours.\nAnswer: 0.93539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - w - 18. Suppose -4*f - 2*o = 0, f - 2*o = -4*f + w. Solve 0*j - j = f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-3)*(-30)\/405\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 972508799 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10725782, 21451569, 32177360, 42903155, 53628954?\nAnswer: 64354757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (7 - (10 + -10))) + 6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 20*x**2 + 52*x - 3. Let b be k(17). Suppose -3*n + b*n = 154. Let j be -3*(-3 - -2) - -1. Solve -2*p - 6 = a, -4*p = -p + j*a + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -5 (b) 2\/7 (c) 1\/1049\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 158271*z**3 - z**5 - 9*z - 158271*z**3 + (2*z**3 + 0*z**3 - z**3)*(4*z**2 + z**2 - 3*z**2) - 6*z**2 + 6*z**2 + 3*z**5 + 6*z**5 + 15 - 15.\nAnswer: 10*z**5 - 9*z - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t**2 + 5*t - 5*t + (0 - 2 + 4)*(-5 + t**2 + 5))*(39*t**2 - 669 + 669) in the form s*t**2 + p + y*t**3 + l*t + x*t**4 and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 2:59 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 11*x**3\/6 - 487*x - 1. Let t(q) = 3*q**2. Determine p(t(u)).\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -821210 to the nearest ten thousand.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 - 9*n**2 - 6*n. Let r(p) = -7*p**3 - 19*p**2 - 13*p. Let x(c) = -13*o(c) + 6*r(c). Factor x(w).\nAnswer: -3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 - 18*t\/7 - 1160\/7.\nAnswer: 2*(t - 29)*(t + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**2*f**2*k + c**2*f**2 + c**2*f*k - 3*c**2*f + 9*c*f**2*k + 143*c*k wrt f?\nAnswer: 2*c**2*k + 2*c**2 + 18*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*c + 51 + 137 = 0, 8 = -2*c. Let z be (3\/(-21) + x\/112)*112. Put z, 3, 1 in increasing order.\nAnswer: 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 6045, -38, -2, -0.4, 0.4, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a**2 - 1. Let z(i) be the third derivative of 0*i**4 - 9*i**2 + 1\/30*i**5 + 0*i**3 + 0*i + 0. Calculate z(r(f)).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j. Let x be o(-5). Let u(r) = r - 8. Let k be u(x). Is (44\/k)\/(2\/(-3)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4952520 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 9 - 7*n)*(-697*n + 1362*n - 687*n - 14) in the form y*n + j*n**2 + x and give y.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181204419 divided by 16473129.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 144 and 63.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/12 + a**3\/3 - 20*a**2. Let s(r) = 3*r + 3. Let o = -9 - -5. Let n = -1 + o. Calculate n*c(g) + 4*s(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -11111001?\nAnswer: 11111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-10) + (-2)\/5. Let t = -0.09 + 4.09. What is the nearest to 0 in -2, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8545437, 8545501, 8545565, 8545629, 8545693, 8545757?\nAnswer: 8545821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 8:08 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -15. Let h(s) = -147*s + 81. Determine -h(r) - 5*j(r).\nAnswer: 147*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, n: 2}. What is prob of picking 3 n and 1 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75894 and 832?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 32760*n**2 + 54978825*n - 4290742250.\nAnswer: 5*(n - 3235)**2*(n - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -292 + 300. What is the remainder when 53 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-311*r + 1237*r + 1051*r)*(3*r**2 + 2 - 2).\nAnswer: 5931*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18154859 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -0.1 (c) 11\/4 (d) -5 (e) -4 (f) 75\/2 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*5\/10.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 - 0\/(-2). Let z = m + 1. What are the prime factors of -2 - (-11 + z - 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptgqgfv. Give prob of sequence qfg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36384)\/(-128))\/(-379))\/((-3)\/208).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.89. Let b = y - -2.89. What is the second smallest value in b, -0.03, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918\/(-33)*(-555)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/14313356 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 40*b - 46*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 2)*(-8 - -5). Let x(k) be the first derivative of -k**2\/2 + k - 3. What is the least common multiple of x(r) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 2*r**2 + 5*r + 2. Let k(f) = f**3 - 2*f**2 - 6*f - 2. Determine -5*k(c) - 6*t(c).\nAnswer: c**3 - 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4283 or 4282?\nAnswer: 4283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by -5?\nAnswer: 147\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen halves of a microgram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3 + 13788*d**2 + 19087218*d - 16848010800 = 0.\nAnswer: -3747, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 13*b - 2 = -8*b + 23*b, 5*b = 4*a - 31 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2772 and 1763496.\nAnswer: 19398456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s. Let r(c) = 51*c**2 - 30*c - 48. Let m(b) = -249*b**2 + 144*b + 240. Let w(p) = -5*m(p) - 24*r(p). Give w(y(o)).\nAnswer: 84*o**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 1840 = -4*w, -n - 4*n = 3*w - 1378. What are the prime factors of w?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222157799 a multiple of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, 0, 0.12, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -348, -1279, -2796, -4899?\n\"Answer: -293*o**2 - 52*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235205 + 1.\nAnswer: -235204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*q - 4430. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-760)\/(-6))\/((-4)\/(-360)*6). Round a to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.021, -34, -14578?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1018*y - 94145 = -54443 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -24045, -48362, -72679?\n\"Answer: -24317*n + 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 46578, -2, 5 in ascending order.\nAnswer: -2, 5, 8, 46578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299961, 599921, 899881, 1199841, 1499801, 1799761?\nAnswer: 2099721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15603414?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-47 + -15 - -33 - 40)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osgg when four letters picked without replacement from {o: 4, w: 2, g: 2, q: 7, s: 1}?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 354616890?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.015, -8, 4, -4\/5, -4.2?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**19\/i**(-27)*i**(1\/10)\/i*i*i\/i**(-20)*i assuming i is positive.\nAnswer: i**(681\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/20 - (-16)\/10. Let u(b) = 2*b**2 + b. Is u(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.164\nAnswer: -0.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -97005.00000109459 + 97005. Round n to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r = 3*r - 930. Let s = -361 + 709\/2. Calculate the common denominator of r and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52.1 + 9.1. Let p = 22 + i. Let t = -20 - p. Which is the nearest to t? (a) -3 (b) 2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)*w**(-3\/14)\/w*(w\/(w\/w**31))**38 assuming w is positive.\nAnswer: w**(16251\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39*c + 717 - 717 - 188*c**2 wrt c.\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132902 or -132908?\nAnswer: -132908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 5*c - 244553, -4*c + 34*n - 29*n + 195607 = 0. What are the prime factors of c?\nAnswer: 2, 23, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 41 = 2*n, 5*n = -5*t + 75. Calculate the remainder when 1*18 - (-24)\/8 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*n - 3*n**2 - 115369 + 115369 - 6*n**2 - 5*n**2 to r + h*n + j*n**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, 789\/7, 0.3, -0.3 in descending order.\nAnswer: 789\/7, 5, 1, 0.3, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585584116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/4*(-3)\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 48 = -3*t, 3*d - 12 = t - 2. List the prime factors of ((-133)\/t)\/(0 + (-1)\/(-17)).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 16*x**2 + 22*x + 26. Let o(w) = w**3 - 7*w**2 + 11*w + 13. Give -9*o(a) + 4*s(a).\nAnswer: -a**3 - a**2 - 11*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/4 - w**2\/4 - 5*w\/2 - 2 = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22990790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63985*z**3 + 16*z + 630621 wrt z.\nAnswer: -191955*z**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j = -33*j - 21726. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54495 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 465 divide 4824840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 10 - ((-54)\/4)\/(-3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 578*c - 578*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 6 - 11 + 28 - 4.\nAnswer: 4*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2081099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4644 by 3.\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1171*w**2 - 1697*w**2 - 2*w + 1288*w**2 + 3*w.\nAnswer: 762*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112442 (base 5) to base 6.\nAnswer: 31030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 + 3. Let m be z(4). Suppose m*a - 25 = -5*s, 5*s - 38 = a + 7. What is the third smallest value in s, 0.4, -1\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56757.\nAnswer: 3, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -8 + 4*d + 15*d**2 - 21*d**2 + 3 + d. Let n(p) = 3*p**2 - 3*p + 3. Calculate -3*h(o) - 5*n(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-5))\/(t*t**2)*(t**(2\/3))**(-1\/26)*(t**(-6)*t*t**(-1\/7)*t*t)\/(t*t**(-1\/3)*t*t**(-1\/3)) assuming t is positive.\nAnswer: t**(-410\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2867229865 take away 1979.83?\nAnswer: 2867227885.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 48*f - 171. What is the units digit of o(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-18)*(87 - 84) + -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*0.6\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (2 - -1)*1. Let v = 9 + -9. What is the units digit of -1 - v - (1 + b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**3 - 2*h**2 + h + 3. Let n(r) = -363*r**3 - 6*r**2 + r + 237. Let t(i) = -3*k(i) + n(i). What is the second derivative of t(d) wrt d?\nAnswer: -2232*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63551*t**4 + 737*t**3 + 86917187*t**2 wrt t.\nAnswer: -1525224*t + 4422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 754 + -765 + 2\/(12\/122) and -101\/8404.\nAnswer: 25212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 16*b**2 + 8*b - 10. Let k(n) = -n**2 - n + 1. Let j(a) = 10*k(a) + u(a). Let c be j(2). Let p = -28 - -31. Solve -c = -8*q + p*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6) - 4\/(-3)) + 0. What are the prime factors of 1800 + -79 + y*5?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 + -8 + (8 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-20)*-4 - 0. Let a be 2 + 9 + -2 + i. Suppose -24 = -a*k + 6*k. What is the remainder when 17 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j + 0*j**2 + 2*j**2 - 12*j + (2 - 2 - 2*j)*(3*j + j - 3*j) + 4 - 4 + j**2.\nAnswer: j**2 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6636 divided by 1\nAnswer: 6636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1358\/(-4) + (-1)\/2. Let r = l + 571. Suppose 9*z - 66 - r = 0. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -1, 26, 75, 152, 263, 414?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*z - 31 = 0, 5*z - 23 = 3787*y - 3789*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 6.2. Let o = -232 + 231.5. Which is the closest to -2? (a) s (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*q + 12*q + 910 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 1. Let n = -10 + 4. Let m be g(n). Let y(d) = -4*d - 1. Let c be y(-1). Put c, 1, m in descending order.\nAnswer: m, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/14)\/(2\/4). Let h = -9 + b. Let u = h - -27. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4662 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-238)\/17)\/28 - 9\/(-8). Suppose -1\/2*h**3 + 1\/8*h**4 + k*h**2 - 1\/4*h + 0 = 0. Calculate h.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60 - -83. Suppose 5*c - 3*z - 1122 = 0, 22*z = -4*c + 21*z + 918. Calculate the remainder when c is divided by b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10960\/((15\/750)\/(5\/(-4) + 0)). Round r to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 136*g**3 - 16*g**2 + 7*g**3 - 2 + 359*g - 38*g**3 - 360*g as t + s*g**3 + n*g + m*g**4 + l*g**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 - ((17 - 13) + -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1029 greater than -1026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -518638, -2074551, -4667730, -8298169, -12965862, -18670803, -25412986, -33192405?\nAnswer: -42009054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4\/9 - 1850*c**3\/3 - 5546*c**2\/9 + 1850*c\/3 + 5548\/9 = 0.\nAnswer: -2774, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 135*n + 7*n - 40.\nAnswer: 142*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73652 is divided by 452.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27547287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 3\/(3\/3). Suppose 0*h + 4*h = 16. Solve 4*t + 1 = 2*d - m, t + 6 = -h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 - 171. What is the fourth biggest value in t, 0.06, 1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/248 and 35\/62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(2*k**2 + k**5 - 2*k**2) + 42*k**5 + 2*k**5 + 18*k**5 + (-4*k + 4*k**3 + 4*k)*(0 - k**2 + 0) + 2*k**5 - k**5 + 2*k**5.\nAnswer: 62*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102212022 - -120001221?\nAnswer: -212210101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.81 + -0.19. Let k = y + 7. Are 1\/9 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 21*p**2 + 27*p + 22. Is 27 a factor of q(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 25*f - 480 = 0. What is the highest common divisor of f and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34059142567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 greater than or equal to -628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 755, 786, 851, 962, 1131, 1370, 1691, 2106?\nAnswer: 2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 7}. What is prob of picking 1 t and 3 d?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.1 (b) 0 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3866642603 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: What is next in 995, 1551, 2107, 2663, 3219?\nAnswer: 3775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 4004788206?\nAnswer: 4004788206.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1245 and 4.6?\nAnswer: 5727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 58, 124, 216, 334?\n\"Answer: 13*s**2 + s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -954*q**2 - 3*q - 3. Let k(g) = -401636*g**2 - 1264*g - 1264. What is -1264*f(p) + 3*k(p)?\nAnswer: 948*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 329 and 366 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, u: 9}. Give prob of picking 3 k and 1 u.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 15790, 10, -5 in descending order.\nAnswer: 15790, 10, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58446 by 1146.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/11358 and -63\/8?\nAnswer: 45432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 605264 to the power of 1\/2, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noa when three letters picked without replacement from {n: 1, a: 1, z: 1, g: 5, o: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -5*z + 979. Suppose 19 = -14*j + z. Solve -6*h - 16 = 4*x - 5*h, 3*x + 12 = j*h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 4*k**3\/3 + k**2 + 2*k + 971. Calculate b(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = 4. Let u(s) be the second derivative of s**6\/144 - s**5\/120 + 11*s**4\/12 - 11*s. Let f(r) be the third derivative of u(r). Calculate f(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*x = 14*x + 256. Let s be (-114)\/(-8) - (-8)\/(x\/(-8)). What is the highest common divisor of 182 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 49985 divided by -5?\nAnswer: -9997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*l - 0*l. Let u = l + 23\/2. Let q = -4.4 - -4. What is the nearest to u in q, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.5, 0.42, -1, 3\/5 in decreasing order.\nAnswer: 3\/5, 0.42, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -4*k + m, -2*k + m = -5 - 36. Suppose a = -o + 8 - 0, a = -2*o + k. Let u = -6 + o. Solve b = 4*b - u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50 - 50 + 6*r**3 + (-3 + 4 + 1)*(1 - 3*r**3 - 1) - 11*r**3 - 101*r**2 + 101*r**2.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -84.6. Let m = -8 - v. What is the nearest to -0.1 in 3, m, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 3*z - 3. Let j = 49 + -34. Suppose 0 = 2*c + j - 5. Let n(u) = -3*u**2 + 5*u - 5. Determine c*n(k) + 8*m(k).\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5881931869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3061280 less than -3061288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f - 1. Let q be o(4). Let d = q + -4. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 18*i**4 - 8*i + 5. Let j(r) = -18*r**4 + 7*r - 6. Let a(h) = 5*j(h) + 6*q(h). What is the second derivative of a(s) wrt s?\nAnswer: 216*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1 - 3*w - 3*w - 4*w - 4*w. Let l(d) = d**2 - 6*d - 1. Let o be l(6). Is 13 a factor of q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2551\/10 - 243. Find the common denominator of l and -89\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8416 + c + 8416 - 4*c + 2*c. Let n(d) = 285*d - 1. What is b(n(p))?\nAnswer: -285*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 12*q**2 + 12*q - 14. Let s be f(11). Which is the second smallest value? (a) -0.1 (b) s (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209 = 359*w - 367*w + 3*k, 2*w = 12*k + 86 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2315208*z**6 - 2*z**4 + 23*z**3 - 231966121*z**2?\nAnswer: 277824960*z**3 - 48*z + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4\/7 + 2*n**3 - 3*n**2\/7 - 40*n\/7 + 4.\nAnswer: (n - 1)**2*(n + 2)*(n + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/4*n**2 + 5\/2*n + 9\/4 = 0. Calculate n.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6327 - 6309. Solve -30 = -23*g + i*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184.159 - -0.159. Let f = -182.97288358 - 1.02712452. Let s = o - f. Round s to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206277 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8.3. Suppose 22 = -4*n + 2*h + 12, -17 = 4*n + 5*h. Which is the closest to -2\/3? (a) 1\/2 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 5:11 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 116 (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5 + 233808*n**4 + 84562947*n**3 - 255793044*n**2 + 935196*n + 341057376 = 0.\nAnswer: -363, -1, 2, 78296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/19030 and 59\/19030?\nAnswer: 19030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2. Let o(a) = 50*a**2 + 4*a + 4. Let g(n) = -3*n**2 - n - 1. Let z(k) = -4*g(k) - o(k). Calculate z(i(h)).\nAnswer: -608*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-3 + 0 - -4) + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, r: 1, b: 2, n: 1, j: 1}. What is prob of picking 1 r and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49910 and 181510.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1704 + 2573. Let d = i + -868.99999627. What is d rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 23 = -2*v, 2*x - 13 = x - 2*v. Let j be (-2)\/(5\/(x\/(-8))). Suppose 1\/4*p**3 - 1\/4 + j*p**2 - 1\/4*p = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -142102?\nAnswer: -142105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 36. Suppose w - 5*w = 3*s - 161, y*s = w + 202. Let d = -21 + s. Calculate the highest common divisor of 150 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20 + -73681?\nAnswer: -73711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8\/21 - -53\/84. Which is the closest to -1\/4? (a) 9\/2 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 60335\nAnswer: -42234.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*20\/270)\/(4\/(-54)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 76694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10688 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/((-1085)\/105)*9?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 + -38. Let w(x) = 2 - t*x**3 + 33*x**3 + 32*x**3 - 7*x**2 + x. Suppose 6*v - 35 = v. Determine w(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106823 to the nearest one thousand.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.332626661 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22033 - 23?\nAnswer: -22122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.417? (a) 0.4 (b) 6 (c) 0 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539669752 to the power of 1\/5, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126\/5, -1, 32 in decreasing order.\nAnswer: 32, -1, -126\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/13587 - -7766\/13587. Factor 0 - 2\/7*s**2 + p*s.\nAnswer: -2*s*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, a: 1, d: 1, i: 2, h: 1}. Give prob of sequence vx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-4*m + 4*m + m) + 2*m + 2 - 2.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Let m = 5.5 + -17.1. Let d = m - -12. What is the smallest value in f, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7 + 9*m**3 + 0*m**2 + 0 + 6*m**2 - 6*m. Let a(w) = 5*w + 26*w**3 - 13*w - w**2 + 20 - 9*w + 18*w**2. Determine 6*a(s) - 17*q(s).\nAnswer: 3*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.89 + 0.11. Let o = k + 0. Suppose -5*x = -0*x. Sort o, x, 5.\nAnswer: x, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 + 20*o**2 - 54*o - 40. Suppose 0 = 5*s + 113 - 8. What is the units digit of t(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*(l**(-5\/4)\/l)\/l*l\/(((l*l**(2\/11))\/l)\/l))\/((l**(-4)*l*l)\/l**(-2\/11)))**(-16\/7))**(-22\/3) assuming l is positive.\nAnswer: l**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 3. Let m be a(2). Suppose -1 - 5 = -m*s. Solve -4*v = k + k - 22, 0 = -2*k + s*v - 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9628 and 74798272?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1102?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*x**3 - 306*x**3 - 699*x**3 + 1603*x**3 - 298*x**3.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) 3 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10753 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2058 divided by 26\nAnswer: 1029\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 5*m + 4. Let p be k(5). Let u be 13*1 - 1147\/93. Are p and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/6)\/(1\/3). Let s = 33 - w. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 16. Is 0.4 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 12 + 25\/2*u + 1\/2*u**2 = 0?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-7))*f)\/f)\/f*f*f*(f*f**6)\/f*f*f*f*f\/f**(-1\/8)*f\/((((f**(-5)\/f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 10) to base 11.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14833288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - l - 4 + (-6 + 4 + 3)*(0*l + l - 3*l) + 2 - l - 2 + 20 + 34*l - 20 + (3*l + 2*l - 3*l)*(-4 + 4 + 1) + l + 0*l - 6*l + l - 3*l + 3*l + l + 2*l - 5*l.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-10)*-72*102. Calculate the highest common divisor of x and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -54873, -109725, -164543, -219315, -274029?\n\"Answer: 2*n**3 + 5*n**2 - 54881*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-10))\/(-2))\/(((-966)\/(-525))\/(-46)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 0 + -6 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 291*g + 17. What is the remainder when 1613 is divided by a(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 669 + 4?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -27*i**3 - 2*i**2 - 4*i - 13. Let g be q(-3). Calculate the highest common divisor of g and 852.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000 - 11001001?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 48*l**2. Let c(z) = -21*z. Determine c(u(s)).\nAnswer: -1008*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1262 = -a + 3*h, a - 1268 = 4*h. Suppose -7*k + 14*k - a = 0. What is the remainder when k is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - j + 192 = 0, -3*q + 5*j - j + 106 = 0. Solve 41*a - 15 = q*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*d - 96*d - 102*d - 87*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6\/43 (b) -161 (c) 1 (d) 0.2 (e) 2\/17 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2065 + 6805*g + 1036 + 1379 + 4172 - 1786*g wrt g?\nAnswer: 5019","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**5\/3 - 316*v**4\/3 - 1676*v**3 - 16532*v**2\/3 - 19264*v\/3 - 2480 = 0. Calculate v.\nAnswer: -10, -2, -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 6*m**2 + 2*m - 7. Let i be q(6). Let r = i + 0. Calculate the remainder when 14 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209, 201, 179, 137, 69?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101 (base 2) to base 4.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**3))\/v)*v**3*v\/v**(-2\/7)*v**(5\/6)\/v)\/((v**(-3))**(-2\/89))**(4\/15) assuming v is positive.\nAnswer: v**(170099\/18690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*s**3 - s**2 - 604 wrt s.\nAnswer: -69*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59515361.34 - 59515307.34000047. Let q = 54.24 + -0.24. Let l = q - s. What is l rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 3*z = 10, 442*g - 440*g + 3*z - 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 + 29. Calculate the highest common factor of a and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.14558*-0.2.\nAnswer: -0.029116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93916\/11 - -8538. Let t = 8 + -12. Which is the nearest to 2\/7? (a) r (b) t (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 14. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3*s + 1 + 4*s - 2*s - 3*s + (-17*s + 40*s + 15*s)*(-1 - 2 + 2))*(177 - 30*s - 177) to the form k + u*s**2 + h*s and give u.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 - 359*h**3\/5 - 721*h**2\/5 - 361*h\/5.\nAnswer: h*(h - 361)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -10) + 9 - 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 30. Let w be -2*(1 - g\/(-6)). Suppose -4*f - w = 5*z - 69, 4*f = -3*z + 62. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/(sqrt(9)*2) - (sqrt(176) - sqrt(176)*1 - sqrt(176))**2.\nAnswer: -176 + sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1099738?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-6))\/(1\/(-2)). Let b = 7 - r. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6}. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.6. Let l = 1.4 + t. Let u be 2*-2*2\/(-32). Which is the biggest value? (a) u (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 4) in base 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5 + 1598*b**4 - 98934*b**3 + 1596474*b**2.\nAnswer: -2*b**2*(b - 733)*(b - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -945 at most 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22532 is divided by 7489.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17638 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-16)*d\/(d*d\/d**(-7)*d)*d**(-6)*d*d**11*d*d assuming d is positive.\nAnswer: d**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.944091nm to micrometers.\nAnswer: 0.006944091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-36)\/(-7))\/((-3)\/(-14)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2123 + -422. What is the highest common factor of 42 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15*n**2 - 636*n - 636*n - 19*n**2 + 1272*n. Let g(q) = -682*q. What is g(x(u))?\nAnswer: 2728*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38 - (-63 - -21)) + 2 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + 7 + -8 + 22 + -14?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + b + 1. Let p(l) = l**3 - 10*l**2 + 4*l - 25. Give p(t) - 5*y(t).\nAnswer: t**3 - t - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-24))\/((-1)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 24*l - 26. What is p(-11)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3985.5 + -3985.2. Which is the closest to -39? (a) o (b) -0.2 (c) -2\/9 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80896853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11280 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 9:32 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47*l**2 + 2289698*l + 48717.\nAnswer: -(l - 48717)*(47*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 0 = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxxo when four letters picked without replacement from {o: 2, n: 5, x: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 + 0*h + 0*h)*(-h + 2*h + h) + 87*h**5 + 239*h**5 + 208*h**5.\nAnswer: 536*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110694, 110576, 110458, 110340, 110222?\nAnswer: 110104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -1409, -4 in descending order.\nAnswer: 5, -1, -4, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2, 0 = -4*x - 957*r + 937*r - 52 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**2 + 4*n + 380. What are the prime factors of r(0)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -13 + 5*a - a**2 + 4 + 3*a**2. Is t(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -7*k**2 - 14*k - 1. Let r(i) = -20*i**2 - 41*i - 3. Let s(t) = 17*c(t) - 6*r(t). Let x be s(-8). Put x, 3, 5 in increasing order.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7598 + 7601. Which is the nearest to 1\/3? (a) 22.2 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 287+-2583\nAnswer: -2296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 29 - 39)*(0 + 2*y + 0)*(-4 + y + 4) + 3*y**2 + 0*y**2 - 2*y**2 + (2*y**2 + 0 + 0)*(-5 + 3 + 3).\nAnswer: -77*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**5\/5 - m**3\/3 - 4*m - 1. Let j(h) be the first derivative of w(h). Find the second derivative of j(c) wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a - 74. Calculate the remainder when ((-49)\/(-28))\/(1\/16) is divided by w(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29254 divided by -1.\nAnswer: 29254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*1*sqrt(19) - sqrt(19) - (sqrt(19) - (2 + sqrt(1539))**2) - (((1*sqrt(114) + sqrt(114))*2 - sqrt(114))\/(3*(-2*sqrt(6) + sqrt(6))))**2.\nAnswer: 37*sqrt(19) + 1524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 11:54 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -0.1 (c) 254 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15\/2 + -8. Put 5, y, 3 in decreasing order.\nAnswer: 5, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 - 3*h + 7 - 9*h - 4*h**4 + 2*h**3 + 3*h + 9*h to w*h + s + j*h**3 + v*h**2 + z*h**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 2*p - 2. What is j(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 - 1)*(-5 + 5 - 1)*(0*k + k - 2*k)*(170*k - 283 + 283) in the form n*k**2 + v + p*k and give n.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -265, 2, -2, -7 in increasing order.\nAnswer: -265, -17, -7, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3.282?\nAnswer: 1.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 1. Let a(f) = 204*f + 14. Let y = -482 - -480. Let w(o) = y*x(o) - a(o). Find the first derivative of w(c) wrt c.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2009370?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 728?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 368 - 401. Let j be (-3)\/(b\/5 - -6). Solve 5*n + j*h - 40 = 0, -5*n + 31 = h + h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*a + m, 4*a = -58*m + 57*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-600)\/116)\/(-5) + (-20 - (665\/(-7))\/5)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 - -0.28. Let q(r) = r - 9. Let s be q(11). Let i be 1\/(-2 - -1)*s. Which is the second smallest value? (a) n (b) i (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -28, 4, -36, 2, -3, -4.\nAnswer: -36, -28, -4, -3, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 8 = -20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.66 - -39.34. Let v = q - 44. Let j be ((-1)\/(-14))\/(1\/2). Which is the smallest value? (a) j (b) -4\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215344 divided by -75959?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -59. Suppose -3*o = -3*l + 30, o = -4*l + 6*o + p. Let s be l*56\/(16\/4). Calculate the greatest common factor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -n - 8, -541*t - 3*n = -543*t + 28 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 40*w - 7. Let c be o(1). Solve 2*p + q = -9, -5*p - c = -2*q - 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0*g + 0*g - g - 13*g. Let t(y) = -4*y**2. Determine o(t(s)).\nAnswer: 56*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-35)*(-5)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586834365 + 7?\nAnswer: 586834372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*m + 106*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-3)\/(-48))\/(198\/(-264))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2750, -2749, -2748, -2747, -2746?\nAnswer: -2745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p. Suppose n + 24 = 5*n - 4*g, 4*n = -3*g + 3. Let y be w(n). Let z(s) = 25*s + 4. What is the tens digit of z(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 6151 + 9 + -8 + 6. What is the highest common divisor of k and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -2*p**4\/11 - 68*p**3\/11 + 646*p**2\/11 - 1080*p\/11 + 504\/11 = 0?\nAnswer: -42, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -1930887, 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (466179843\/(-84))\/(1*-2). Let t = -2775357 + m. Let j = 3422\/7 + t. What is the common denominator of 31\/8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -423 - -425. Let d(y) = 27 + 3*y**2 - 4*y**2 + l*y - 18 - 10 + 2*y**2. Suppose -g = -0*g - 2*b + 7, 0 = -g - 3*b + 13. What is d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 13*q**2 + 10*q + 1. Let f be j(-12). Calculate the greatest common factor of f and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:08 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1083 and 5.3.\nAnswer: -5739.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170204 is divided by 4427.\nAnswer: 1978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -25*p**2 - 2696*p + 3164. Determine c(-109).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849890 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-85)\/(-170))\/(20\/(-2)) + (-18)\/40.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 - 55*i**2 - 85*i + 118. Let p(h) = 2*h**3 - 28*h**2 - 42*h + 60. Let v(z) = -9*p(z) + 4*u(z). Solve v(m) = 0 for m.\nAnswer: -2, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 22 - 142 = 4*m, 0 = m + 5*i + 53. What is the nearest to m in -2\/5, 4, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -656 - -660. Suppose -4*t = -3*t + k + 1, -4*t - 3*k = 3. What is the nearest to t in 0.2, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (-32 + -30 + 56).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 988 and 5662.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u - 491*u**3 - 13*u - 9*u - 5*u**2 + 5*u**2.\nAnswer: -491*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -267, 4.2, 2, 0.2, 5\/2, -0.1 in decreasing order.\nAnswer: 4.2, 5\/2, 2, 0.2, -0.1, -267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600734847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 + 2*f - 2*f + f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00559 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 6. Let t be 20\/130 + (-228)\/(-39). Let n be p(t). Let k(l) = l - 19. Let o be k(18). Sort 5, 1, n, o in descending order.\nAnswer: 5, 1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 8*h**2 + 5. Let m be y(-8). Solve 0 = -3*j - m - 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 9*p**2 + 8*p + 19. Determine q(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 168 = 3*x, 0 = -4*u + 2*x + 491 + 141. Suppose 2*i + 2*i - u = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -143, -1 in increasing order.\nAnswer: -143, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t - 15*t + 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = -128. Let p be 4\/22 - n\/(-11). Let i(z) = 48*z + 5. Is i(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 545564 + -2?\nAnswer: 545562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -42, -3, 62, 159, 294, 473, 702?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -901.14 + 914. Let v = p + 0.14. Is v not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, 35, 2, 15548 in ascending order.\nAnswer: -28, -2, 2, 35, 15548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 225?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x - 1. Let k be z(-2). Let i(t) be the first derivative of -t**2\/2 - t + 2. Calculate i(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3330129 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 6. Let t(p) = -6*p + 180. Let u(j) = 11*j - 299. Let c(l) = -5*t(l) - 3*u(l). Determine c(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -280, -250, -236, -244, -280, -350, -460, -616?\nAnswer: -824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 - 44. Let q = -17.999989 + d. What is q rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-3)*i)*i)**(2\/111)*(i\/i**(1\/4))\/(i\/i**8*i) assuming i is positive.\nAnswer: i**(1007\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.674 and 5.\nAnswer: 8.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (843\/(-8992))\/(6\/16). Suppose 0 = -m + a + 16, -3*a + a - 64 = -4*m. Sort m, q, 4 in decreasing order.\nAnswer: m, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -73, -109, -159, -229, -325, -453, -619?\n\"Answer: -w**3 + 2*w**2 - 27*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 24849.34.\nAnswer: -99397.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*o**4 - 22165*o**3 - 264988*o.\nAnswer: -60*o**2 - 132990*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -47, -1, 2 in descending order.\nAnswer: 2, 1, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.023 + 0.023605. Round b to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6061*z - z**2 - 6061*z + 12127*z.\nAnswer: -z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, 1 in descending order.\nAnswer: 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306.900000017 - -306.9. What is h rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9739 - -13?\nAnswer: -9726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((15\/5)\/(-252)). Let v = a - 113. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 30 = 9. What is the remainder when 39 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 7. Let b be v(9). Let k = b - -2. Calculate the remainder when 74 is divided by k*(-3)\/12 - -19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b - 9 = 0, -2*b - 11347 = -p. Let l = -6515 + p. Suppose -l = -5*z + u, -2*z + 1514 = 5*u - 405. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2\/7, -0.1, -63\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -38*q + 1770. Calculate a(44).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*(r*r\/(r*(r**14*r)\/r))\/r*r*(((r**0\/r)\/r)\/r)\/r assuming r is positive.\nAnswer: r**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = -6. Suppose 0 = 2*b - 2, b - 292 = -j*v - v. List the prime factors of v.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24000 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18839237 is divided by 154?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 278 divided by 4260911\nAnswer: 278\/4260911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*p - 148*p = -4*v + 62, 2*v - 56 = -4*p. Solve -2067*a = -2062*a - p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {r: 3, z: 10, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 15 - 16*d**3 - 11)*(-25*d**2 - 552 + 552).\nAnswer: 400*d**5 - 50*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 38169651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 - -31. Let z(m) = m - y*m**2 + 2*m**3 + 2*m - 5*m + 5*m. What is z(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75039.\nAnswer: 3, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19481274 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 3*h**3\/2 - 19*h**2\/2 - 11*h. Let p be y(6). Is 12 a factor of 826\/p + 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 24 = 3*n. Suppose -22*g + 4232 = -498. What is the smallest common multiple of g\/10 - (5 + 36\/(-8)) and n?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1025011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*p + 1, -2*p = -2*b - 2*b - 50. Let o(c) = -c - 26. Let r be o(b). Is 4\/10 - 729\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**2 - 22537*w**3 - 1729*w - 7*w**2 - 22494*w**3 + 45110*w**3 wrt w.\nAnswer: 474*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -6. Suppose n = -k*y + 11, 0 = -4*n + 3*n - 1. Let v be (-3)\/(-2)*16\/y. Solve -3*t = -t - v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 16884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*c - 2*s - 680, -4*s + 189 = -c. Let y be (-2)\/(-7) - c\/7. Solve 5*v - y = -2*u, -32 = -4*u - v - 3*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 27*c + 198. Calculate b(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -51*s**2\/2 + 30*s + 2. Let m(y) = 10*y - 6. Let l(h) = 11*m(h) + 2*v(h). Is l(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 405 = -3*s - 0*l, 0 = -l + 5. What is the highest common divisor of 28 and s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 1790?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349006 to the power of 1\/3, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 306. What is the highest common factor of 34 and r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -22*r - 120. Let j be (1 - 9\/15)\/((-7)\/105). Let q = -10 + 15. Calculate the smallest common multiple of q and a(j).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -134 + 156. Calculate the remainder when 43 is divided by 0 + (a - 0) + 7 + -4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - l + (-l - l + 3*l)*(0 + 0 + 2) - 112*l - 254*l + 485*l to w*l + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1 + 41*m - 5 + 4. Suppose -19 = h - 50. Calculate the remainder when i(3) is divided by h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.83 - -13.7. Let f = 1.1 + v. Let i = -0.02994 - f. Round i to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1392 + 1958. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7216, -5, -0.1, -1\/4, -0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-1)*((-108)\/8 - -5) a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 5 + 307*s**3 - 7 - 306*s**3 - 1430*s**2.\nAnswer: s**3 - 1430*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/189)\/((-1)\/(-12))*(-15)\/(-10).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173362?\nAnswer: 2, 7, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d. Let m(g) = g + 1. What is m(b) - q(b)?\nAnswer: -10*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in seconds?\nAnswer: 19800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3605.000544 + 3605. What is q rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (9 - (1 + 7 + -2 + -3))) + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42031 (base 6) to base 14\nAnswer: -20a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*c + 80*c - 13398 = -131*c for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 598 is divided by 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 6, t: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 321775 and 419558.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 1.26\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1027107917 to the nearest integer?\nAnswer: 32049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*k = -0*g + 37799990, 0 = -2*g + 3*k + 25199994. Round g to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3636.29 milligrams?\nAnswer: 0.00363629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/2173 and 121\/318?\nAnswer: 13038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 2 - (-10 + -11 + 15). Let a(w) = 4*w - 1. Let k be a(-1). Sort h, k, -3, 1 in decreasing order.\nAnswer: h, 1, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -11*v + 7*v. Let y(q) = 2*q**2 - q. Give y(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)*m*m**(-20)*m)**(-8) assuming m is positive.\nAnswer: m**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 183613376009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 6*z**2 - 9*z - 7. Determine d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*i - 2. Let p be i - (0 - 3 - 1). What is the highest common divisor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10, 4, 34, 80?\n\"Answer: 8*a**2 - 10*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 4734.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r - 5. Let g be f(4). Let d be 2\/g - 17\/3. Let k(n) = n**3 + 6*n**2 + 2*n - 7. Let l be k(d). Solve 8*m + l = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3909139+1\nAnswer: 3909140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2549 - 16931 = -196*q - 108*q for q.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oja when three letters picked without replacement from zzjaxzoxxrzaxor.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77672\/3 - 77674\/3. Let l = 2.4 - 2. Let q be 14\/4 - 1\/(-2). Which is the nearest to 1\/3? (a) l (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212111012012 (base 3) to base 12\nAnswer: 1a3672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*-51*(-94)\/(-2397).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58664*a**2*d**3 - 188*a**2*d + 6*a**2 - 2471*a*d**2 + 409*a*d + a + 3*d wrt d.\nAnswer: -351984*a**2*d - 4942*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3624 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + sqrt(1920)*4 - sqrt(30))\/(sqrt(18)\/(5*sqrt(3))))**2.\nAnswer: 128000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-40)*s\/s**(-3)*s)\/(s\/(s**(-39)*s)*s**19))**(-44) assuming s is positive.\nAnswer: s**4092","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 162*s**2 - 2515*s + 46142. Give w(-142).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2982 - -444?\nAnswer: -253c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/27, -2\/7, 3, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.1211 times -0.5\nAnswer: 1.56055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 + 3*l - 7. Let j be q(-4). Calculate the highest common divisor of j and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 104922 + aa2?\nAnswer: 105914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, c: 1, a: 1}. Give prob of sequence oaoc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n - 22 = 3*k, 3*n + 2 = -2*k. Sort 12, 2, k in increasing order.\nAnswer: k, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511471?\nAnswer: 59, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -132*a - 5 + 15 + 66*a + 82*a in the form s + t*a and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1861\/32 - -58. Find the common denominator of h and 81\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 5*z**2 + 14*z + 14. Determine v(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.3 + 4. Let q = 13 + -18. Sort -1, c, q.\nAnswer: q, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, 10, 52, -4 in increasing order.\nAnswer: -8, -4, 5, 10, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -10986\/3115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 205 (base 10) to base 4\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o + 16 = 0. Let j = -146 - -160. Let h = j - 18. Which is the smallest value? (a) o (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3319010*r**3 - 1658*r**2 - 266*r wrt r.\nAnswer: -19914060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c + 0*c**2 + 12 + 4 + c**2 - 2. Let s be m(-4). Suppose 3*j - 57 = 2*u, s*j - 4*u - 27 = u. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + (sqrt(343) + sqrt(343)*-1)*3 - (-2 + (sqrt(343) - sqrt(343)*1*4))**2).\nAnswer: -3092 - 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9889 - -9959. Solve 22 = j*g - 81*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 13. Let n(i) = i - 6. Suppose -4*c = 0, -v + 13 - 6 = -5*c. Suppose -v*q = -5 - 23. Calculate q*h(d) - 9*n(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a6024 (base 11) in base 2?\nAnswer: -110000111100100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56372 is divided by 1549?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -30*u - 25\/2*u**4 + 70*u**2 + 0 + 35\/2*u**3 = 0.\nAnswer: -2, 0, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -220889\/4 - -54636. Let w = 6805\/12 + q. What is the common denominator of -97\/4 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/(7*(-5)\/(-70))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y. Let f(n) = 26*n - 7. What is f(u(k))?\nAnswer: 78*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -4*x + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192389*w**2 - 89379*w**2 - 103002*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 14\/3*i**3 + 0*i + 28*i**2 - 55. Find the second derivative of t(r) wrt r.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u + 3 - 3. Suppose 4*m - n = 79, -m + 14 + 2 = n. Let f(l) = 21*l - 38*l + m*l. Determine f(h(p)).\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2832, -3, 0.2, -0.3 in descending order.\nAnswer: 0.2, -0.3, -3, -2832","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 93. Let q(b) = -32*b. Give p(q(h)).\nAnswer: -1024*h**2 - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -752*m - 34598. Determine h(-46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1599192.\nAnswer: 2, 3, 7, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*t = 4*w + 30, 5*w + 3*t + 54 = 0. Let m = 1 - w. Find the common denominator of ((-168)\/m)\/(-2) - 2 and -11\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*d - 76 = 2*q, -q - 4*d = -38. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70634999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 13 = -5*z - 3*y, -8*y + 18 = -5*z - 38 - 0 - 65 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*j - 1 - 31 - 9.\nAnswer: 23*j - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(((b\/(b\/b**(-8)))\/b)\/b)*b**(2\/9)*(b**(-1\/3)\/b)\/b**3 assuming b is positive.\nAnswer: b**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, z: 4}. What is prob of picking 3 z and 1 c?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*l - 4*p + 12, -5*p + 123 - 129 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**34\/(p\/p**(1\/3))**11 assuming p is positive.\nAnswer: p**(-314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u + 4*b = -211708, -4*b = 5*u + 264638. What is u rounded to the nearest one thousand?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/3 + 797160*v + 238299024600 = 0.\nAnswer: -597870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 14*a - 63. Let j be i(-23). Suppose 0 = -c + j + 197. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-453)\/(-604))\/(445\/200 + -2).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.950546mg?\nAnswer: 0.000007950546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l**3 + 2 - 3*l**2 + l**3 + 6*l**3. Suppose -w - 9 = -2*w + 3*v, 2*v = 6. Suppose 0 = -2*r + 3*r - 4*o - w, -2*r + 16 = -3*o. Calculate a(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31928 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2901, 4, -0.1, 0.1, 0.5, 468?\nAnswer: 468","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -208 - 0.005229\nAnswer: -208.005229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(9 + 1 + 17)*(-p**2 - p**2 + 3*p**2) + (p + p**2 - p)*(-1 - 1 + 1) - 6*p**2 - p**2 + 2*p**2.\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 6*y - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 - ((-12)\/(-150) - (-392)\/(-525))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a + 9. Let m be f(8). What is the tens digit of ((-1314)\/54)\/(m\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, e: 15}. What is prob of picking 4 e?\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3694 is divided by 831?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 22 + a**3 + 38 + 2*a**3 - 4*a**3 - 11.\nAnswer: -a**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3082325, -3082330, -3082335, -3082340?\n\"Answer: -5*n - 3082320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 8. Let d be z(-6). Suppose -5*i + d*i = -18. Is 178\/i - (-2)\/6 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 38 in descending order.\nAnswer: 38, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*m - 1)*(-m + 3*m + 0*m) + m**2 + 0*m**2 + m**2 - 26*m + 29*m - 8*m**2 + m**2.\nAnswer: -m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(1 + -4 + sqrt(27)\/sqrt(9) + 2))**2.\nAnswer: -90*sqrt(3) + 156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -153666680*a**2*s - 37649*a*s - 565*s + 1 wrt a?\nAnswer: -307333360*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*v**4 - 3*v - 5*v + 46*v**4 - 15 - 24*v**4 + 6 in the form i*v**2 + r*v**3 + j + k*v**4 + x*v and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldla when four letters picked without replacement from {a: 7, d: 2, l: 6}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:32 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(125) + -4)*6.\nAnswer: -27 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 10*l + 6. Let z be b(-8). Let f(q) = -q + 14. Let j be f(z). Calculate the highest common factor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 2:56 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1989990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-594)\/(-216)*(-18076)\/(-27). Let n = k + -1841. Suppose 4*r - 5*o = 15, -6 = 2*r - 2*o + 4*o. Which is the nearest to r? (a) 2\/9 (b) -3\/4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 102*g + 581. Let l be y(6). Let c(o) = 4*o**2 - 4*o + 6. Let d(p) = -p**2 - p - 1. Let v(t) = c(t) + 3*d(t). Calculate v(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 2 (c) -1324\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*d + 3*d + 6, -2*i + 10 = d. Let a(p) = -1 - 2*p**2 - p + p + i*p. Let s = 4 + -1. Calculate a(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*x + 20, 3*v + v - 16 = -5*x. Suppose -2*c + x = -w - 4, 0 = 2*c - 5*w + 12. Suppose 605 = c*y + y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 3*i + i)*(-3 - 362*i - 244*i + 665*i).\nAnswer: 177*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 13*o**2 - 7*o - 4*o - 17*o**2 - o - 8 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116020515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.119851229 and -0.013214.\nAnswer: 1.106637229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((10\/(-15))\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 9. Which is bigger: w or 9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 3:54 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504674846 by -5.\nAnswer: -504674846\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 115 = 5*j, -2*j - 4*z - 21 = 25. Let i = j - -44. What is the remainder when 40 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -118 + 569?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 1045.\nAnswer: -20.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 480577 to the nearest integer?\nAnswer: 693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 0 - 3*n - 1. Let o be k(-1). Suppose 3*c - 4*v - 6 = 10, 5*v = c - 20. Solve c*m + m = o for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 15) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 6*y + 2. Let v be t(-6). Suppose 3*b - v = -5. Is -2\/13 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1344 - 1351. Sort i, -13, 4 in ascending order.\nAnswer: -13, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*o + 314 = 350*o + 3485 + 7064 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488646, -488270, -487894, -487518?\nAnswer: -487142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 10. Give g(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 870.\nAnswer: 15660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.042178, 2, -15\/16?\nAnswer: -0.042178","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1 - 1) - -4. Let i = 5 - n. Find the second derivative of 4*w**i - w + 0*w - 6*w**2 wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -4*k - 5*o, 0*k = 5*k - 4*o + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjlljjljjlljj?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*p - p**3 - 65*p - 101*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -3 + 34\/3*q**3 + 3*q + 2*q**2. Is o(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 65 = 14*n. What is the closest to n in -0.3, -0.4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.64 to 0 decimal places.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.46, -0.4, -30, 1, -1\/64, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/12*18\/2)\/((-486)\/(-3888))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2234534042 + -143?\nAnswer: 2234533455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 19*z + 3. Let c(n) = 6*n - 1. Calculate c(h(p)).\nAnswer: 114*p + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 317077*f - 5.\nAnswer: -317077*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 249763830 to the nearest one hundred thousand.\nAnswer: 249800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10696 and 14?\nAnswer: 10696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4318, -4316, -4314, -4312, -4310, -4308?\nAnswer: -4306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000454 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + b**2 + 6*b - 3. Let p be q(-6). Let j be 676\/((-24)\/(-6) + -6). Let o = p - j. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122098 + -1250?\nAnswer: 1120848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21691282317 take away 0.7?\nAnswer: -0.91691282317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 43 (b) 30 (c) -0.0578\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/11 (b) -0.5 (c) 4 (d) -88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(75) - (-4 + sqrt(3) + -1 - sqrt(3)).\nAnswer: 4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**4)\/((d*d\/(d*d**(5\/4)))\/d))\/(d**5\/(d*(d*d\/d**6*d)\/d*d)))\/((((d*d**0)\/d)\/d*d*d)**(-2\/31)*d\/(d*d*d**1\/d)*d**(2\/3)) assuming d is positive.\nAnswer: d**(-131\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**3 + 1. Determine h(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 76. Let h = v - 114. Let n = 142 + h. What are the prime factors of n?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 20.6. Let s = r + 8. Let j = s - -0.1. Sort -2, -3\/2, j in increasing order.\nAnswer: -2, -3\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*y**3 - 65*y**3 - 579*y**3 - 605*y**3.\nAnswer: -963*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7019 - 2631 = -50*r. What is the remainder when 2700 is divided by r?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838.0702 nanograms to tonnes.\nAnswer: 0.0000000000008380702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*u - 37 = -28*u + 23 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 171, -2, -22\/3 in ascending order.\nAnswer: -22\/3, -2, -1, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 7*m**2 - 6*m + 7. Let t be q(-7). Let c = -172 + t. Round c to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0832 * -4.5\nAnswer: 0.3744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -211*h**3 + 5*h**2 + 5*h + 5. Let k(o) = 17407*o**3 - 412*o**2 - 412*o - 412. Determine -412*g(a) - 5*k(a).\nAnswer: -103*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020002122012 (base 3) in base 4?\nAnswer: 10200302312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cjmmmcjmccjmcmccmj. Give prob of sequence jj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523 - 519. Sort f, -5, 0, 5, 6.\nAnswer: -5, 0, f, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 59*i**2 + i. Let f(o) = 7*o. What is f(c(d))?\nAnswer: 413*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406695.\nAnswer: 3, 5, 19, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7958 - 7962. Which is the nearest to -0.1? (a) -1\/9 (b) -1.8 (c) m (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 3*k. Suppose k = x + x - 6. Solve -y - 6 = -x*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 16 - 4 = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (0 - -9)) + (-1 - 6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11361 times 808?\nAnswer: 9179688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 38*m - 11*m)*(2*m**4 + 3*m**4 - 7*m**4).\nAnswer: -58*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097 is divided by 99.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v**2. Suppose -10*m = -14 - 16. Let u(b) be the third derivative of 0*b - m*b**2 + 0 + 1\/60*b**5 + 0*b**3 + 0*b**4. Give r(u(l)).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three quarters of a milligram in micrograms?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 1.1 (c) 2\/19 (d) 3 (e) 0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3287077 is divided by 740.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 380. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + y + 4. Let t = -11 - -8. Let o(h) = 2*h**2 + 2*h + 5. Suppose 0 = -38*j + 448 + 312. Suppose -253*d + j = -248*d. Determine d*a(n) + t*o(n).\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29953 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -10. Let y = 86 - i. Let n = y - 55. Does 10 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-9 - (-13 - -17)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.7 * -24841.\nAnswer: -1085551.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/7)*m)\/m*m)**20*((m\/m**(1\/3))\/m)**(-2\/159))\/((m\/(m\/m**(3\/4))*m**(-4\/3))\/(m\/(m**(2\/9)\/m)*m)**34) assuming m is positive.\nAnswer: m**(1460047\/13356)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 + 11*p - 44. Is 8 a factor of k(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1\/2*(-6)\/99\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 4, 1\/498, 2\/3 in descending order.\nAnswer: 4, 2\/3, 1\/498, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1320\/2970*(124\/40 - 4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4018038400?\nAnswer: 2, 5, 17, 233, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 25 = -l. Let j = l - -8. Solve -3*i - 10 = -3*w + 5, -19 = -5*w + j*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 783 + -511. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 7*o**3\/3 + o**2 + 43. Let d(h) = -2*h. Give d(y(n)).\nAnswer: -14*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10506191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3202358 and 369376?\nAnswer: 3298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.57 + -67.57. What is the closest to 0.2 in -2, 1\/3, -2\/13, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 - 1 - 2 + 2*x**3 + 0*x**3.\nAnswer: -3*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/464 and 87\/726944.\nAnswer: 21081376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - f + 97, 3*o - 41 - 36 = -5*f. Let s = 36 - o. Sort -2\/11, s, 2\/21 in descending order.\nAnswer: s, 2\/21, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 13*v**2 - 21*v - 15. Let h be l(-9). Let i = -88 - h. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 10061769.3.\nAnswer: 50308846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2180*r**3 - 20160*r**2 + 0 - 90*r**4 - 5\/4*r**5 - 62720*r.\nAnswer: -5*r*(r + 8)**2*(r + 28)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 27 = -4*n, 5*y - 18 = -4*n + 19. Solve -3*d - 4*p = -14, -3*p + 19 - y = 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + s. Let w be g(0). Suppose 3*c = -9 - w. Let u(o) = 2*o - 16. Let z be u(10). Sort z, 2, c in decreasing order.\nAnswer: z, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 11*x**5\/2 + 11*x**4\/12 - x**2 - 9*x - 8. Find the third derivative of u(b) wrt b.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1038, -5, 6, 1 in descending order.\nAnswer: 1038, 6, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-14 + (-13 - -28 - 18) + 17).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -721 - 3?\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.17875 to one decimal place.\nAnswer: 51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 8:55 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/3 + 98048*f**3\/3 + 2403744736*f**2\/3 + 6408417280*f + 12815788800 = 0.\nAnswer: -49020, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -2. Suppose -d*i = -2*s - 38, -2*i + 0*i - 48 = 2*s. Let q = s + 27. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40677479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5412 and -0.8.\nAnswer: 5411.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/168*27\/90?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + -1*sqrt(2736))**2 - (2*(sqrt(1539) + 1) + (sqrt(1539) - (sqrt(1539) + 0)*2))**2.\nAnswer: -156*sqrt(19) + 1219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 807*f - 712*f - 96*f. Let d(y) = -y**2 - y - 1. Let j(k) = 4*k**2 - 14*k + 3. Let g(r) = 6*d(r) + 2*j(r). Determine g(q(a)).\nAnswer: 2*a**2 + 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**3\/6 + 17*j. Let o(p) = -4*p**2 - 3*p. Let t(z) = -4*z**2 - 4*z. Let c(n) = -4*o(n) + 3*t(n). Determine c(f(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(1539) + -1 + 2)*-3)**2.\nAnswer: 648*sqrt(19) + 13995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/6 and -3\/194554.\nAnswer: 583662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from nnvnvrn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 m, and 1 q when three letters picked without replacement from uhuvmkuuhquuuquvm?\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9.784+-82\nAnswer: -72.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/9, -2, 1\/2, 0.006 in increasing order.\nAnswer: -2, -1, -2\/9, 0.006, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, q: 1}. Give prob of picking 1 t and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7665030 rounded to the nearest 100000?\nAnswer: -7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2\/(-4))*(135 + -257).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 23224*b**3 + 33709636*b**2.\nAnswer: 4*b**2*(b + 2903)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62710*c - 62710*c - 12*c**4 - 3*c**2 + 5*c**2 + 2 to the form n + i*c**4 + v*c**2 + y*c + o*c**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-1)*-5 + 8673\/588)\/(3\/(-84)).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5327 = 4*z - 2*h - 38801, 11041 = z + 4*h. List the prime factors of z.\nAnswer: 11, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 1. Let g(n) = -1209*n - 983. Let m(z) = -g(z) - 3*s(z). Find the first derivative of m(h) wrt h.\nAnswer: 1191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604350 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-4))\/((-20)\/(-16)). Differentiate 8*d**3 + n*d**2 - 5 - 3*d**2 + d**2 wrt d.\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/5, -4, -0.3 in descending order.\nAnswer: -0.3, -17\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - i**2 - i + 22. List the prime factors of a(0).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242 - 485 + 874*a**2 + 155*a**2 - 87*a**2 + 243.\nAnswer: 942*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11322 + 4032012?\nAnswer: 4020140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9154 (b) 0 (c) -1\/9 (d) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -11, 1, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8487, -19041, -31665, -46359, -63123?\nAnswer: -81957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 - 85*k**3 - 180*k**2 - 100*k.\nAnswer: 5*k*(k - 5)*(k + 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 578 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z + 60. Let w = 2 + 1. Let m be 24\/9 - (-1)\/w. Solve 5*b + 0 = 2*x + 8, -z = 5*b + m*x for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*q + 15*q - 10. Suppose 0 = 12*w + 1697 - 1721. Solve q*l - 12 = -w*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/458 in -1, -0.08, 0.5?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 165467598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 2*u.\nAnswer: -2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2559 (base 10) in base 2?\nAnswer: -100111111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13601845 and 2641.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + (sqrt(7) + 1)**2 + -1).\nAnswer: 12 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v - o + 10 = 0, -v - 3*o = -20. Which is the nearest to -0.2? (a) 0.1 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2. Let o(x) = -43388*x**2. Calculate s(o(n)).\nAnswer: 13177629808*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 15. Let g be y(-15). Suppose g*p + 216 = 2*p. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*t + 31*t - 549 = 0. Put -5, 1, t in decreasing order.\nAnswer: 1, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeegemaaem. What is prob of sequence ga?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, c: 2, o: 4, g: 2, y: 7, k: 1}. Give prob of picking 1 k, 1 c, and 1 y.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = 11*x - 255. Suppose -x = -11*m - 6. Suppose m*t + t + i - 712 = 0, 4*t = -3*i + 720. Does 38 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/3 - a**2 - 3*a + 2. Let l be t(3). Suppose l = 4*s - 5 - 7. Solve -5*k - s*b = -0*b - 26, -10 = -5*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*h - 61*h = -2046. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 222362730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f - 1 - 7*f + 2 + f. What is m(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 277476, -14 in decreasing order.\nAnswer: 277476, -14, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 31*m**2 - 124*m + 4. Calculate y(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34534, 35120, 35696, 36256, 36794, 37304, 37780, 38216?\nAnswer: 38606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 p, 1 v, and 1 r when four letters picked without replacement from ipwwpprrqqrqv.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25079101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 1, p: 2, q: 1, n: 1, x: 2}. Give prob of sequence jn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 6 - 8 - k**2 - k + 2*k**2 + 2*k**3. Give h(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-25)\/(-100) - ((-126)\/8)\/(-3). Sort 1, l, -156.\nAnswer: -156, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -28*a**2 - 27*a**2 + 66*a**2. Let f(t) = -9*t. Calculate f(m(y)).\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/(35\/((-4410)\/84)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 0. Suppose -3*h + 3*j = 78, -24 = h - 0*h - 2*j. Let q be (2\/h)\/(4\/g). Put q, -3, -4 in decreasing order.\nAnswer: q, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.313297 and -1.46616?\nAnswer: 1.779457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*b**2\/3 + 16*b\/3 - 4\/3.\nAnswer: 4*(b + 1)*(5*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/191 and -4949\/6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2110 is divided by 320?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of l**6\/120 - l**5\/60 - l**4\/8 - l**3\/6 - 10*l**2. Determine f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17371.7 and -0.5.\nAnswer: -8685.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 75*h**2 - 1. Let w be c(-1). Suppose -3*z + w - 17 = 0. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7\/3)*i)\/(i*i*i**(-2\/35))*i**(-2\/15)*i*i**(-4\/9) assuming i is positive.\nAnswer: i**(-899\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.009 and 1301410.\nAnswer: -11712.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2540230 + 4?\nAnswer: -2540226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 147\/4. Let g = 17 - 13. Which is the biggest value? (a) g (b) f (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -20304\/7*w**2 - 34445979648\/7 - 45805824\/7*w - 3\/7*w**3 = 0.\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -109 - -69. Let y = u + 54. Let w be -28*2\/y*-2. Solve 2*q - w = -0*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 - 2145*b + 2140.\nAnswer: 5*(b - 428)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.6 or -2259?\nAnswer: -2259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36443 + -20430. Is 176 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of 0*n**4 + 2*n - 1\/3*n**3 - 1\/10*n**5 + 0*n**2 + 0. Find the second derivative of q(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -118*j**2 + j + 119*j**2 - 3 - 4*j**4 - j**3 + 7 + j**4 in the form g*j**2 + r + p*j**3 + s*j**4 + w*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 678 + -803. Let s = t + 373\/3. Let v(x) = 2*x + 1. Let u be v(-1). Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/6192 and 149\/1944?\nAnswer: 167184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1760 and 647240?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4467317152?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 968 times -0.14182\nAnswer: -137.28176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3044340 is divided by 4655?\nAnswer: 4625","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50641?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 111857 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, 0.8, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-32)\/(-6))\/(4\/6) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-1)*(-1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 + 6*w + 6. Let j(q) = q + 1. Suppose 470 = 6*s + 158. Suppose -4 + s = -4*x. Calculate x*j(o) + 2*n(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -201758 + 266?\nAnswer: -201482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 1164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-10) - (1\/(-4))\/(10\/276). Let z(c) = 11*c + 11*c - 4*c. Let a(r) = -17*r. Calculate b*a(d) + 6*z(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 7821216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164*-4.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.1. Let n = 91.6 + -83. Let o = -9 + n. Which is the closest to z? (a) 1\/7 (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 9 - 4. Let t = -2.75 + 3.15. What is the nearest to x in t, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9037147097 + -464870846544263\/51440. Let q = o + -2\/3215. What is the common denominator of q and -43\/94?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2490, -14300, -46362, -108804, -211754, -365340, -579690, -864932?\n\"Answer: -1688*l**3 + 2*l**2 - 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1228289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = j + 4*x - 10, 0 = 2*x - 4. Solve -j*n = 9 - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/((-4)\/((-6)\/(1 - 0))). Suppose -w*i + 672 = -8*i. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14160 and 735.\nAnswer: 693840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -619 - -706. Calculate the greatest common factor of 1131 and r.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 3. Let i be p(-12). Suppose i*l - 16*l + 1890 = 0. Suppose -j + u + 32 = 0, 4*j - 2*j - 68 = 4*u. What is the highest common divisor of l and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2577*x - 420*x + 1189*x = -16*x + 201720 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.41485 - -2.41485. What is the closest to f in -2\/13, 5, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31526808 and -0.22.\nAnswer: 6935897.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 73887344 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 10502*c + 5242*c + 5250*c.\nAnswer: -10*c + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62467 (base 9) to base 15.\nAnswer: -c324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**6\/50 - 27*m**5\/10 - 471*m**4\/20 - 38*m**3 - 5498*m. Factor b(i).\nAnswer: 3*i*(i - 95)*(i + 1)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157889, -631558, -1421005, -2526230?\nAnswer: -3947233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/5*11\/22?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -32*f**3 + f**2 - 4*f - 7. Is z(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 10:15 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/44)\/(-4))\/(268\/(-737)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*c + 32, 3*c = 3*q + 27 + 3. Calculate the smallest common multiple of 2692 and c.\nAnswer: 5384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 4. Let j(l) = -2*l + 3. Let q(a) = 3*j(a) - 4*u(a). What is q(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 11:22 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 3, w: 4, s: 2, x: 2, g: 1}. What is prob of picking 1 s and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10370 is divided by 415.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11870841?\nAnswer: 3, 191, 20717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/4461 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + -10 + (4 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3077 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**2 - 4*l - 44. Let w be v(-7). What is w rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 42310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1522 and -7.2?\nAnswer: 10958.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200102 + 11?\nAnswer: 2200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/14*((-6)\/(-16)*-4)\/((-15)\/(-200))\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-75))\/((-1)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/2 - 19*x**3\/2 + 13*x**2\/2 + 87*x\/2 + 27 = 0.\nAnswer: -1, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.0273518 + 31.027352. Let b = -5 + m. Let a = b - 0. Round a to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z. Suppose 6*u - u - 120 = z. Does 24 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*h - h - 3*m + 35, 0 = h + 43*m - 50083 + 50288 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 385, 475, 651, 943, 1381, 1995, 2815?\nAnswer: 3871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 54. Let f be (8 + 0)\/(-15 + b). Calculate the smallest common multiple of 3 and ((-6)\/f)\/(1 + 28\/(-24)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -815\/4 - -199. Let d be 2\/5 + (-4704)\/5010. Let v = d + 15429\/1670. Calculate the common denominator of n and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.84.\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2502*f*x*y**2 - 3*f*y - x*y**2 + 1371*y**2 wrt f.\nAnswer: -2502*x*y**2 - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 142*i**2 - 1205*i + 18. List the prime factors of l(19).\nAnswer: 5, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + -2021?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -251 - -247. Is (-102)\/(-68) + (-2318)\/n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, j: 2, g: 7, z: 3}. What is prob of picking 3 f and 1 g?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/9 + 567650*d**2\/9 - 40275760766*d\/9 - 40280869778 = 0?\nAnswer: -9, 141917","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 5076918.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 3. Let n be (d + -5)*2\/6. Let o = -1.3 + -1.7. Put o, -0.4, n in ascending order.\nAnswer: o, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*i - 2*z, -i - z = -0*i. Solve -r**i - 2*r + 2*r**3 + r**2 + r**4 + 0*r**4 - 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 e, and 1 j when three letters picked without replacement from cjonseo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 547, 1401, 2563, 4033?\n\"Answer: 154*c**2 + 392*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 6) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -554 + 624. What is the smallest common multiple of s and 98?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514 + 1037 + 167*l**2 - 522.\nAnswer: 167*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 1278.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 9560?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.97 + 5.97. Let o be 2\/2*(-2)\/(-6). Which is the nearest to 2\/9? (a) -1 (b) o (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/195*(-2 + 42\/6)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:04 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -9 (b) 1 (c) -3\/4 (d) 0 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -353 + 351.46. Let t = h - -0.54. What is the smallest value in t, -19\/5, -2\/5, 1?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 128*f**2 + 23*f - 53*f**2 + 24 - 158 - 64*f**2. Calculate h(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17\/128 + 3725\/384. Find the common denominator of p and -42*(-282)\/1080 + -16.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*b + 21 - 16 + 12.\nAnswer: -22*b + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1.86, 1423.\nAnswer: -1.86, 2, 1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 49. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 237\/((-667)\/(-92) - 8). Which is the fourth smallest value? (a) -1\/4 (b) -5 (c) g (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, b: 2}. What is prob of sequence bbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 10*f**2 + 2*f - 49. Determine k(10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:13 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(98) + 4) + 1)**2.\nAnswer: 1470*sqrt(2) + 2891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**2 + 4*z**2 + 2*z**3 + (7*z + 2*z - 2*z)*(4*z**2 - 2*z**2 + 2*z**2) + (z**2 + 5*z - 5*z)*(-3*z + 2*z + 0*z).\nAnswer: 29*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*3)**2 + -2.\nAnswer: 1798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*-2 - sqrt(190))*-1 - sqrt(190)) + (sqrt(190) - 4*sqrt(190)*-2))\/((sqrt(80)*1)\/sqrt(8) - 2*sqrt(90)).\nAnswer: -11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*j + 4*j + 6406, -1588 = f - 4*j. Round f to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -w + 2, -4*w + 3*w = -3*m - 2. Suppose 0 = -2*x + 5*x - 3*d - 123, -3*x + 5*d + 113 = m. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 - 2*x**4 + (x**4 + 0*x**4 + 2*x**4)*(2 + 1 - 1) + (45 - 214 - 88)*(2 - 1 + 1)*(2 - 2 - x**4).\nAnswer: 518*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -38 + 1?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 4*h - 6. What is x(-4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 43854.\nAnswer: 43854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*c + 54. Calculate the remainder when 69 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) -2\/15 (c) 0 (d) 6 (e) 73157\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 8402?\nAnswer: 16804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10493 (base 11) to base 12\nAnswer: 898b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 852147 to the power of 1\/2, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 287 divided by 15053?\nAnswer: 287\/15053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03506523476 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14215\/6712 - -6\/839. Let z(a) = 31*a - 1. Let w be z(-1). Calculate the common denominator of 2 + (1 - w\/(-14)) and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149844084?\nAnswer: 2, 3, 13, 47, 107, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 d when three letters picked without replacement from {a: 2, d: 1, k: 1, p: 14, m: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11300741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -461.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(171) + 3)*-4*-4)**2.\nAnswer: 6144*sqrt(19) + 47872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41019 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -251 - 35042?\nAnswer: -35313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 47\/5, 3, -3, -215\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93361102 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/10*(-2)\/(-4). Let w = 91.1 + -96. Let k = 5 + w. Sort n, k, -2\/15 in descending order.\nAnswer: n, k, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*16\/(-84))\/((-622)\/(-6531))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 356\/8*1*(4 - 152). Is -6586 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = 3. Let t = 4 + g. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/7*25\/50.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121480 * 3.\nAnswer: -364440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/20 - (-10)\/(-8). Let t be 3\/m + 207\/6 + 0. Calculate the greatest common divisor of t and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55502454 (base 6) to base 9\nAnswer: 3128147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 31. Let t = 15.9999973 - k. Round t to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 3*j**2 - 1. Let a be d(2). Solve 7*w + 22 = 2*w - 4*q, -1 = -4*w + a*q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1863 = 5*j + 4*t, -j = -3*j + 2*t - 738. Let f = 688 + j. What are the prime factors of f?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264580 is divided by 1107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/53265 and 79\/182.\nAnswer: 9694230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/88 + 619\/264. Which is the third smallest value? (a) 5 (b) v (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-33)\/(-6))*(-2)\/22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**2 - k + 11 - 5\/3*k**3 + 1\/7*k**7 + 1\/5*k**5 + k**4 - 7\/15*k**6. Factor i(x).\nAnswer: 2*(x - 1)**3*(x + 1)*(3*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 946?\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 276 = -3*a, 4*a - 212 = -2*u - 302 - 286 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3979 - -2171. Let n be m\/264 + 7 + (-2)\/(-11). Which is the nearest to 0? (a) -0.02 (b) -3\/7 (c) n (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3306730136 to the nearest integer?\nAnswer: 57504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1392 or -1535?\nAnswer: -1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 5*b**2 - 10*b + 10. Let i be x(2). Suppose -5*j = 3*z - 1034, 21*j - 22*j - 672 = -i*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22703084513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(51)\/(sqrt(21)\/sqrt(7)))**2 + sqrt(17) + (sqrt(17) + 3 + sqrt(68) - sqrt(17)).\nAnswer: 3*sqrt(17) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -12\/13, -0.4, 0.029, -1?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*x + 5, 3*x - 5*x + 5*r - 2 = 0. Find the common denominator of (x\/(-3))\/(48\/(-1242)) and 151\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 706, 1060, 1414?\nAnswer: 1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003400724238 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**5\/20 + 2*r**4\/3 + r**3\/6 + 13*r**2\/2 + 21*r. Let l be t(7). Does l = 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**7\/49 + 10*z**6\/21 - 17*z**5\/10 + 50*z**4\/21 - 4*z**3\/3 - 211*z. Suppose o(s) = 0. What is s?\nAnswer: 0, 2\/3, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40677142.\nAnswer: 2, 11, 373, 4957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 24720?\nAnswer: 74160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-94)\/(-6) + 3\/9 - -4. Suppose 15*o - 13*o + h = 0. Let n be (-2)\/(-4)*4*o\/(-5). Calculate the greatest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 343.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(12\/(-54)) - (0 - 0). Solve -4*o = 0, -p + n - 14 = 4*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 6. Suppose z - 4*i = -10, z - 4*i = -3*z - 4. Suppose 2*x - x - 20 = 5*l, 2*x + 4*l = 12. Suppose z*d - x = -0*d. What is r(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4 + 3 + 2. Let c(z) = z**2 - 2*z + 5. What is c(g) - 5*k(g)?\nAnswer: g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 11*s**2 + 72*s + 614. Give n(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264657717 - 111016713. Let n = -375674399.9999977 - a. Let c = -30 + n. What is c rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-132248)\/1220)\/((-1)\/20)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2 - 2*h**3 - 3*h**3 - 2*h**3 + 6*h**3 + 3*h**2 + h. Let r be s(2). Suppose -c + r*c = -6. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(432))**2 + ((sqrt(432) - -2*sqrt(432)*5) + sqrt(432))**2.\nAnswer: 77760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -4*x + 16. Let j be (5 + -1)*45\/4. Calculate the highest common factor of j and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 0.16, -0.3, 848, 0.4, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 12. Suppose -9*a + m = -11*a. Which is greater: -15\/7 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4\/5 + 163896*d**3\/5 - 3934422*d**2\/5 + 19181124*d\/5 - 26558928\/5 = 0. What is d?\nAnswer: -81972, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 8.06. Let y = 0.06 - i. Let l = y - 0.11999954. Round l to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188230 - -131582. Let q = -32588 - v. What is q rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33801\/28 - -1207. Let a = -39\/140 - h. Calculate the common denominator of -101\/16 and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45\/7, -2, 0.42, 3\/8, 0, -1\/6 in decreasing order.\nAnswer: 45\/7, 0.42, 3\/8, 0, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.00936694 rounded to 2 decimal places?\nAnswer: 5.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 10. Let m be 14\/(-4)*(-80)\/56. Let h be l(m). Solve 3 + 2 = -h*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -n - 2 - 2, -3*n - 30*h + 9 = -31*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60.06 - -0.86. Let a = c + 9. What is a rounded to 0 decimal places?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 2*g - 74, -4*s - 43*g - 46*g - 194 + 43 = -86*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 5\/3*x**3 - x + 7 - 2*x**2 - 1\/4*x**4. Determine b(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569405 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 divided by 7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 9 - 2)*(2*z**3 - 2*z**3 - z**3) - 1 - 2*z**3 + 1 - 5*z - z**3 + 5*z + 1986*z**3 - 1974*z**3 - z + 3*z + z**2.\nAnswer: 21*z**3 + z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-1)\/(-3 + 6)). Let o = m + -2. Let c be -1*-1*(o + 0). What is the greatest common divisor of c and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - -1) - (-2 + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 2:59 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-2)*12\/(-9). Let r be (u\/(-9))\/2*15. Let c be 1\/(-2)*(0 + 2). Sort c, 4, r in decreasing order.\nAnswer: r, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 6:35 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d**3 + d)*(0*d + d - 2*d)*(-d + 67448 + 0*d - 63844).\nAnswer: d**5 - 3604*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3\/5 + 54*n**2\/5 + 141*n\/5 + 18.\nAnswer: 3*(n + 1)*(n + 2)*(n + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 - 156. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/6 - (-20)\/(-30). Suppose -7 = -o + 2*s, 4*o - 9 = 2*o - s. Solve r*x + 3 = -o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggwgggggggwwgggggg. Give prob of picking 2 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/11663?\nAnswer: 4\/11663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6663702, 13327401, 19991098, 26654793, 33318486, 39982177?\nAnswer: 46645866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 30.9. Let v(i) = -3*i - 14. Let t be v(-3). Let q be (1 + -1)\/(2 - 1). Which is the nearest to w? (a) 1\/6 (b) t (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 1875?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 y when four letters picked without replacement from {g: 5, p: 3, y: 8}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/40 and 99\/613289530?\nAnswer: 2453158120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r + r - 5 - 3*r. Let y(n) = -13*n - 83. Let u = 130 + -136. Let t be y(u). Determine g(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95926 times 0.28?\nAnswer: 26859.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1780 + 598 - 3*s + 593 + 589 - 3*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 1, v: 2, g: 1, c: 1, z: 1}. What is prob of sequence cg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2902, 5847, 8784, 11713, 14634, 17547?\n\"Answer: -4*b**2 + 2957*b - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -9348849873288?\nAnswer: -9348849873288.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2. Let j(y) = -y**2 - 8*y - 14. Let d be j(-4). Let t(w) be the third derivative of w**d + 0 + 0*w**3 - 5\/24*w**4 + 0*w. What is t(m(f))?\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.866385mm to centimeters.\nAnswer: 0.0866385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -353*h*z**3 + 343*h*z**2 - 140*h*z - 16*z**3 + 2039733 wrt h?\nAnswer: -353*z**3 + 343*z**2 - 140*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*0.185\nAnswer: 0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76.6 - -135.4. Is u bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1172 - -12307. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/7)\/g)**(-18)\/(g*g**(2\/7)*g)**(-1\/6)*(g*g*(g*g**0*g)\/g)**(-50)*g**(-8)*g*g**(-1) assuming g is positive.\nAnswer: g**(-3202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -1 + -4 + 0 + sqrt(112))**2.\nAnswer: -56*sqrt(7) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 308?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 120194 - 120194 + 256*z**3 - 3*z**3 - z**3 + 2*z**3 + (0*z - 5*z + z)*(2*z**2 - 2*z**2 - z**2) in the form d*z**2 + y + h*z**3 + i*z and give h.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhfppd. Give prob of sequence hp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19\/2)\/(6\/12). Let i = h - 7. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let g(a) = -152*a. What is g(v(z))?\nAnswer: -304*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + k**2 + 4. Let n be y(0). Suppose -u = 5*r - n*r + 51, -u = -5*r - 285. Let t = 61 + r. Is 6 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*d + 5*d + 16. Suppose -d*w + 2*c = -4 - 2, 3*w + 2*c = -6. Are 2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -389, -3739, -10059, -19343, -31585, -46779?\n\"Answer: f**3 - 1491*f**2 + 1116*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from lmlmllm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-155))\/((-4)\/(-15))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxcccx. Give prob of picking 1 x and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**12*o**(-2))\/(o**(1\/4))**(-35) assuming o is positive.\nAnswer: o**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 8) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -l + 2*n, -4*l = -8*l - n + 12. Suppose -2*q = l*q. What is the second smallest value in 1\/10, q, 5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**2 + 10*r - 4. What is g(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s + 3 + 8 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/61 (b) -27 (c) -2\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 2*h - 5. Let w be n(-5). Let b be w\/15*(-1 + -5). What is the common denominator of (-1)\/b + 100\/(-32) and -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -28. Let a be 1\/2 - b\/(-6). Let t(m) = m + 1. Determine t(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 332 - 570. Let r = -122 - t. What are the prime factors of r?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 15*l - 5. Let i = -11 + 18. Let n be y(i). Factor -2*b**2 + 5*b**4 - b**2 - n*b**4 - 3*b**5 + 3*b**3.\nAnswer: -3*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14030333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 12*x**2 + 3*x + 3. Let t(a) = -3*a**3 - 15*a**2 - 4*a - 3. Determine 3*m(c) + 2*t(c).\nAnswer: -3*c**3 + 6*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 12*x - 3. Let m be h(12). Let k be (-2)\/(-6)*m + (1 - -6). Suppose 9*t = k*t + 159. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -4\/3, 0.4, -0.83?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*i + 373 - 103. Suppose i = -6*g + 6. Let z be (g - -3*(-2)\/(-6)) + 7. Solve -z = -3*k + 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6193720 is divided by 309686?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 23. Let c be 18578\/k + (-3)\/9. Let z = c - 1528. What is the common denominator of z and 13\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9423\/17 - 554. Is n <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -12*w - 28 + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + 0.0490855665.\nAnswer: -2.9509144335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {q: 4, x: 4, v: 3, e: 4, r: 1, f: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*b - 6 + b**4 - 4*b**4 + 116*b to the form y + c*b**2 + u*b**3 + a*b**4 + h*b and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 231651497 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: Let p = 76 + -75. Let y = 0.7 + -1. What is the closest to -9 in y, p, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2562876.9 nanoseconds?\nAnswer: 0.000042714615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2567 - 101*t - 56*t + 2572 - 157*t to the form q + s*t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 2, w: 1, r: 2}. What is prob of sequence rg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -206*x + 3704. What is r(19)?\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pspz when four letters picked without replacement from pzqqqzspssspqqzpqpp.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r*(r*(r*(r*r**(1\/5)*r)\/r*r)\/r)\/r*r))*r*r**(1\/45)*r*r*r*r assuming r is positive.\nAnswer: r**(83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*w + 3*w. Let b = -89 - -268\/3. What is the biggest value in 4, w, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59707 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40 and -0.056?\nAnswer: 39.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 6\/4*512\/(-372). What is the biggest value in j, -5, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 872, 1754, 2636, 3518, 4400?\nAnswer: 5282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4250 + 92*a**3 - 72*a**3 + 3*a**2 + 1375*a - 1375*a + 428*a**3 wrt a.\nAnswer: 1344*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**3\/2 + 51*g. Let h(n) = -n. Suppose 2 - 14 = -3*s. What is s*h(r) + k(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12220 and 11699428?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s - 12. Let c(x) = x + 2. Let i(n) = -4*c(n) - o(n). Let r = 1 - -3. Give i(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 6. Let h(v) = -v**4 - 1. Let x(r) = 6*h(r) + j(r). What is the second derivative of x(p) wrt p?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*s**5*t**2 - 2*s**2*t - 4*s*t**2 + 13*s + 1 wrt s?\nAnswer: 1240*s**3*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 + -106.16. Round z to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/8 or 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**3 - 2*l**3 - l**3)*(2*l - l - 2*l) + 9 - l**4 + 0 - 26.\nAnswer: -3*l**4 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) + (sqrt(119)*1*1 - sqrt(119)))\/(sqrt(7) + (sqrt(7) - 2*sqrt(700))) + (-2*sqrt(85)*-2 - sqrt(85) - sqrt(85))\/(sqrt(20)\/sqrt(4)*-5))**2.\nAnswer: 28577\/8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34237888 + 34237896.9999905. Let z = j + -9. Round z to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42404 - -3349982\/79. Is r not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*j)*(3 + 1 - 2 + (-5 + 2 + 4)*(-2 + 0 + 3)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-1)\/(1\/2). Let q be 163\/3 - s\/(-6). Suppose 4*y - 26 = 46. What is the greatest common divisor of y and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.73773782 + -5707\nAnswer: -5705.26226218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**5 - 264*y**4 + 722*y**3 + 24384*y**2 - 72360*y = 0?\nAnswer: -134, -10, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45419400 and 93600.\nAnswer: 181677600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (4 - 7)*4*(-6)\/12. Let o be -18 + (-4 + 7 - 0). Put -4, o, g in increasing order.\nAnswer: o, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*f - 7*k - 90, -f + 34 = -3*k. Let z = 7 + f. What is the remainder when z is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1703 - -1639) + (-4 - -76).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/6)\/((-2378)\/(-24969))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 4634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1412 + -826. Suppose -47*g + 683 = -w. What is the remainder when 294 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -17.79. Let k = f - 1.21. Which is the second biggest value? (a) 1\/5 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 14 = 0, -3*q = -6*q - 4*n + 34. Solve -14*b = -q*b - 48 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {u: 1, q: 2, w: 2, x: 2, z: 1, n: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 + (12 - 16) + (-1 - -931)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w. Let y(d) = d. Let p(r) = -q(r) + y(r). Let t(f) be the second derivative of f**3\/3 + 2*f. Calculate t(p(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26486, -22926, -19392, -15890, -12426, -9006?\nAnswer: -5636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:03 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71145 (base 8) in base 2?\nAnswer: 111001001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16806670 - 1?\nAnswer: -16806671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000494391 to seven dps.\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116346435 to the nearest integer?\nAnswer: 10786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 417?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -30 + -28 + 3 + 28?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003014401 rounded to five dps?\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.0890224 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52679 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: Calculate prob of sequence et when two letters picked without replacement from qewqqqewqtewvw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2184\/1911)\/(4\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/16*0 + (110 - 124)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322652 (base 7) in base 15?\nAnswer: 119e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 17651*z + 17652*z - 1)*(0*z**2 + 0*z**2 - 3*z**3).\nAnswer: -3*z**4 - 21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is aa - -353?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*l**3 - l**4 + 5 + 57*l**3)*(-5 + 0 + 3) + (-2*l - 2*l + 5*l)*(2*l - 2*l - 6*l**3) in the form d + h*l**4 + q*l**3 + m*l**2 + b*l and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3649, 34, -7 in decreasing order.\nAnswer: 34, -7, -3649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75067\/8 - -9383. Which is the third biggest value? (a) -5 (b) 4 (c) 3\/4 (d) 0.4 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -1\/30*v**6 + 1\/12*v**4 + 0*v + 0*v**3 + 0 - 4*v**2 + 0*v**5. What is the second derivative of j(u) wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 4*k**2 - 4*k**2 + (4*k**2 - 5*k**2 + 2*k**2)*(-4 + 2 + 3) - 4*k**2 - k**2 + 2*k**2)*(0*k + 0*k + 2*k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36a - 54786a?\nAnswer: -548129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3 + 846851*d**2 + 109*d + 38578 wrt d.\nAnswer: -24*d + 1693702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l + 0*l)*(2*l**2 + 0*l**2 - 8*l**2) + 0*l**3 + 13*l**3 + 12*l**3.\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4 - 2*c**2*n + 325*c*i*n + 3*i*n + 135*n wrt c.\nAnswer: -4*c**3 - 4*c*n + 325*i*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01223207684 rounded to 4 dps?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/40)\/(286\/(-2860)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6532792 by 933256.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 168*m**3 - m**2 - 83*m.\nAnswer: 48*m + 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 21842 = -5315. List the prime factors of c.\nAnswer: 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3 - 14*w**2 + 12*w = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451218648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -156*o**2 - 24*o - 11. Let w(v) = 2*v**2 - 1. Let f(s) = -m(s) + 6*w(s). List the prime factors of f(-3).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -7333?\nAnswer: 7337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45423603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = 3*w + 4*o, -2*w + 4*o + 98 + 30 = 0. Solve 72*r + 12 = w*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((-5)\/30) + -3. Find the third derivative of -m*l + 160*l**3 + 197*l**2 + 62*l**3 + 6*l - 3*l wrt l.\nAnswer: 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 5*y - 1. Suppose -2*n = -a + 11, -2*n + 2*a + 9 = 5*a. Let v be d(n). What is the derivative of 11*x + 16*x**3 - v*x + 4*x**3 - 13 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = -3*o. Is -2 + 4 + o + 50 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**3 - 11*j**2 - 34*j. Let q(x) = 2*x**3 - 4*x**2 - 11*x. Determine 4*m(n) - 11*q(n).\nAnswer: 2*n**3 - 15*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 198 (base 12) to base 4\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 - 4 - (6 + -8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -35639.\nAnswer: -35639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -431 - -435. Suppose -2*d = 3*v + 8, 7 + 5 = -s*d - 5*v. Solve 9 - 1 = -d*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 2\/(-8) + 1. Let o be 6\/8*((-48)\/(-21))\/(-4). What is the nearest to 2 in -1\/6, p, o?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 5*z - 19. Let r(o) = o**2 + 6*o + 21. Let x(t) = -4*n(t) - 3*r(t). Let g = 1 - 1. Is 13 a factor of x(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*i = -15, 5*i = z - 33 + 2. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 3313*i + 595798. Calculate m(-171).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, -11, -6\/5, 0, 0.06, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0063943 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0 + sqrt(7) + sqrt(7))*-3 - (sqrt(112) - sqrt(112)*1) - (sqrt(168)\/sqrt(3)*-1)\/(1*sqrt(392)))**2.\nAnswer: 3844\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 1:59 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2001 + 38030\/19. Let g = 13\/76 + v. Which is the closest to -2\/5? (a) -3 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from lrhlhllllllllllh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 84*f**2 + 462*f - 46. Give n(6).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 777 = -2*w + 3*l, -5*w - l = -1301. Calculate the greatest common divisor of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -120 - (-43 + -84) - ((1 - -2) + 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -483*m**3 - 57*m**2 - 13*m + 8. Let b(k) = 161*k**3 + 21*k**2 + 5*k - 3. What is 8*b(c) + 3*q(c)?\nAnswer: -161*c**3 - 3*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127066.\nAnswer: 2, 63533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 6e3?\nAnswer: -6e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 435*958810.\nAnswer: 417082350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 33 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 866*v + 864.\nAnswer: 2*(v + 1)*(v + 432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -801*c - 801*c - 803*c + 4020*c - 809*c - 809*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from awwawwwawww?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -394 + 227. Let d = r + 216. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 5*p - 9 = 0, 4*o + 4*p = 2*o + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 4*x**2. Let c be (-10)\/(-2)*118\/295. Let m(l) = 2*l**2 - 3*l**2 - 7*l**2 - 4*l**2 + 11*l**c + 1. What is s(m(f))?\nAnswer: 4*f**4 - 8*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h. Let g(s) = 27 - 4 + 38 - 76*s + 75*s. List the prime factors of g(h).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Let f be ((-6)\/r)\/(21\/(-140)). Solve 3*z - w + f = 0, 4*w + 9 = -3*z - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32712 is divided by 887?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.19 - 1.49. Let q = 21 - 20.9. What is the biggest value in -4, q, u, 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - 2*v - 4. Let i(m) = 2*m - 3. Let z be i(3). Give q(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1597 + -1566. Let h(f) = f**2 + 3*f + 6. Calculate the remainder when s is divided by h(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052667 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m**2 - 16*m - 25. Let y be p(-3). What is the greatest common factor of y and 2408?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-30) + 65275050\/(-125). Round g to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 1. Suppose -4*x - x + 15 = 0. Let l be -1 - (5 + -2)\/x. Does 7 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o - 4. Let m(u) = 95*u - 28. Let t(x) = -70*x + 15. Let p(c) = 3*m(c) + 5*t(c). Calculate -3*p(j) + 7*y(j).\nAnswer: -36*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*s - 5*s, 3*s - 5 = 2*y. Let o be 26\/8 - (-27)\/36. Solve y*u - 14 = -o*f, -f + 14 = -0*u + 4*u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 226, 455, 690, 931, 1178, 1431, 1690?\n\"Answer: 3*m**2 + 220*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.14 (b) -83209 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0240459km in meters?\nAnswer: 24.0459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24.4 and 562?\nAnswer: 537.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 86 + 30 = 0. Let r = k - -37. Let f(g) = -g**3 + 8*g**2 + 7*g + 12. Give f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327949 is divided by 281?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t + 3. Let u be l(-3). Let g = -2 - -1.8. Which is the nearest to 0.2? (a) u (b) g (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5.4 (b) 0.0867 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -4 + 564\/9. Let d = -463\/6 + r. What is the common denominator of -93\/16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1 + sqrt(13))*-3 + -2)**2.\nAnswer: 66*sqrt(13) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3116126.\nAnswer: 2, 13, 119851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-6)*(-1 + -1). Let v(x) = 30*x**2 - x - 1. List the prime factors of v(r).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 96. Let j = -44.93724621 + -0.06256379. Let w = j + s. Round w to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81368250 divided by -767625\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.4 + 0.6. Let f = -19 + q. Let d = -14 - f. What is the third biggest value in 3, d, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 3\/22, 0.3, -1711, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 32*v + 14. Let c be a(6). Let h(j) = j**3 - 5*j**2 + 4*j. What is h(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 4. Let h be (-258)\/10 - 7\/n. Which is bigger: h or -27?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 931249*y**3 + 18*y - 711?\nAnswer: 5587494*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1624\/2679 or 0?\nAnswer: -1624\/2679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*c - 4*c. Let h(n) = -n**3 - 2*n**2 + 2*n + 1. Determine h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3333 - -44?\nAnswer: 3377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*d = 8, -5*d + 2 = -18. Sort -1, -13, r in ascending order.\nAnswer: -13, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 1622 + 358 = 0. Let b be 4\/6 - 5*11\/j. Solve -5*p + n + b - 19 = 0, 0 = -5*n - 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 28, 78, 162, 292, 480?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1148, 6, 10, -0.5, -3.5 in decreasing order.\nAnswer: 1148, 10, 6, -0.5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 6*y + 7. Let w(i) = -6*i**2 + 2*i - 1. Let k be w(1). Let t be n(k). Solve t*p = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*d + 1 = 0, 5*h - 13 = -5*d + 22. Suppose -l + y + 0 = 3, -h*l + y - 31 = 0. Does 12 divide (-4)\/14 - 170\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5430?\nAnswer: 2, 3, 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**3\/3 + 7*q + 1. Let r be d(5). Suppose -4*s = -0*s - r. Solve -2*w + 4 = s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5712 or -28566\/5?\nAnswer: -28566\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p - 335. Let n(z) = -70*z. Determine f(n(m)).\nAnswer: 1050*m - 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43656575*w**2 - 486*w + 32122 wrt w?\nAnswer: 87313150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52688 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*p*w + 1660308*p + 157565*w wrt w?\nAnswer: -4*p + 157565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 - 2338\/1001*-4 and 61\/9?\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 - 41. What is the third derivative of -3*u**6 + 5*u**2 - r*u**2 - 6*u**2 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 4*u - 4*u)*(-49 - 17 - 20).\nAnswer: -172*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8941773 and 268047.\nAnswer: 6873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39395117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 951 - 801. Calculate the common denominator of 3\/(-133)*1365\/x and -37\/114.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 18*k**2 + k - 66. What is u(18)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 609*q**2 - 1227*q + 615.\nAnswer: 3*(q - 1)**2*(q + 205)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -9*y**2 + 10*y - 3. Let t be a(2). Let z be 0\/(-2 + 0) - (18 - t). Let v = z + 40. Is v greater than or equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 33. Suppose 2*o + y + f = 3*y, 0 = 2*y - 2. Let d(i) = i**3 + 6*i**2 - i + 5. What is the tens digit of d(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:15 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -184563384 divided by 1167\nAnswer: -158152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-12)*v**(-2\/5))\/(v**(-2\/11)*v**(-1\/19)) assuming v is positive.\nAnswer: v**(-12713\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(84)\/(sqrt(12) + 3*sqrt(12)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -2\/11, 2\/7, 180, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 3*w)*(106*w**2 - 5*w**2 + 193*w**2)*(-4 + 4 - w).\nAnswer: -588*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 + -0.07. Let k = r - 0.5. Let w = -0.03 + -4.97. Put k, 4, w in increasing order.\nAnswer: w, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((110\/(-15))\/(-11))\/((-4)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10797*w**2 - 7 + 7.\nAnswer: 10797*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g - 932 - 3408 = 0. Let x = g + 157. Solve 0*u - 5*u = 10, x*v = -5*u - 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 1067*h + 24 = 1065*h, 12 = -c - 4*h for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/((-11160)\/162))\/(3\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 6:14 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 + 54. Suppose -129*v + 117*v = -84. Calculate the remainder when v is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 22, 154 in descending order.\nAnswer: 154, 22, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 4*z + 6. Let p be -12*(7\/2 - 4). Calculate c(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + (sqrt(2299) + -2 - sqrt(19)) + -3*sqrt(76) + sqrt(19) + 4 + -2)**2.\nAnswer: -30*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -x. Suppose x = 3*k - 9 + 3. Solve -4*n + k + 4 = -h, 2*n = 4*h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b - 1. Let j be x(1). Suppose 2*q - j = -0. Let o be (-2)\/q - 83599992\/44. Round o to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*m. Suppose 0 = -2*c - m - 4. Is (-4389)\/14*c\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1758 and 127608142042.\nAnswer: 127608142042.1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -281317 or -281032?\nAnswer: -281317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 461444, 1845784, 4153016, 7383140, 11536156?\n\"Answer: 461446*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3476306?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -11 - (0 - 2). Let u be (-420)\/b - 1\/(-3). Suppose -n - 5*m = -u, 86 = 2*n - 2*m - 8. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -666*y**2 - 2352*y**2 - 74 + 151*y**2 - 1084*y**2 + 14 + 38*y wrt y?\nAnswer: -7902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5132 is divided by 273.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 343550*z**2 + 5817312565*z - 2896624829780.\nAnswer: 5*(z - 484)*(z + 34597)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = -21. Let y = -4113 - -4118. What is the smallest value in h, 0.03, y?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -3*s**7\/14 - s**4\/2 + 10*s. What is the third derivative of m(k) wrt k?\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 503.069.\nAnswer: 25.15345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1885 = p + 4*p, 0 = 2*g + 10. Let d be (p*1)\/(13\/104). Suppose -4*z + 3*j = -d, 0 = -9*z + 4*z + 2*j + 3737. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*v + 21*v. Suppose z - 842 = -a, v = 4*a - 8 - 8. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(832)*2 - sqrt(832))*1.\nAnswer: -1 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8013590 and 260?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 193206020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.224 and 5.269?\nAnswer: 1.180256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (1 + -12 - -2) - (-1206 + 1203)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23892 or -17.4?\nAnswer: -17.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45657 or 45662?\nAnswer: 45657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2766265 in -0.3, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*100\/8*36\/135\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 27 = u. Suppose -3*m - 5 + 44 = 0. Let b = u + m. Solve -3*s - 4 = -b*v - 3, -s - 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3427545\/278 > -12329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -299 - -0.3.\nAnswer: -298.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219972 is divided by 4313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-11) + 406\/6699)\/((-1)\/21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26 - 22. Solve 0 = 2*m + 2*j - 14, -15 = -o*m - m + 5*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85498101*a**3 + 135425159 with respect to a.\nAnswer: -256494303*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s**3\/7 + 7648*s**2\/7 - 4596*s\/7 = 0.\nAnswer: -383, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b6 (base 15) to base 2.\nAnswer: 110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334404.\nAnswer: 2, 271, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 36. Sort 3, l, -4 in descending order.\nAnswer: l, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 times -0.274\nAnswer: 0.004384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2520000 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b + 29. Let j(f) = 5*f - 14. What is 13*j(l) + 6*u(l)?\nAnswer: -l - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -13\/10863260 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 291400256?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*v + 136 - 14*v - 138 as f + q*v and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 77 (b) -0.4 (c) 2\/15 (d) 2 (e) 56 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 146, 218?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 - 3*f**2)*(-17*f**2 + 12 - 12)*(90 + 52 + 12).\nAnswer: 5236*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 4*a - 4. Suppose 4*b - 25 = g, -5*b - 2 + 12 = 3*g. Let w be q(g). Suppose 2 = h + w. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -7. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 13. Let x(w) = -w**2 + 9*w - 14. Let s be x(k). Let h(u) = -u - 3*u**2 - 1 - 2 + 1 + s*u. Give h(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + 954\/(-150))\/(258\/(-430)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yb when two letters picked without replacement from yyyyyyjyyyyyyyby.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v + 16 + v - 26. Let k be d(-5). Solve 0 = -3*j + k*a - 34, 5*a - a - 23 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 24. Let d be a(-19). Put -3, -5, d in decreasing order.\nAnswer: d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29558, 57913, 86268, 114623?\n\"Answer: 28355*a + 1203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-952)\/(-2142)*(-4)\/(8\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + c - 389 = 0, -5*c + 9*c + 121 = -o. Let d = o + 209. Calculate the greatest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*m, -7*v + 422 = -12*v - 3*m. What is the common denominator of (v\/(-12) - 10\/10)*1 and -149\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(5\/9)*j**(-12)*(j**(-2))**(-1\/20) assuming j is positive.\nAnswer: j**(-1021\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3.95. Let h = i - -0.35. What is the third smallest value in h, -5, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/2*272\/(-2584).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (210\/(-42))\/(10\/(-48866)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/106964584 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 748096383 by 1.\nAnswer: 748096383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {z: 2, k: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 147*w. Let i(k) = -18673*k. Determine i(l(u)).\nAnswer: -2744931*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r - 12. Let p be j(-6). Calculate the remainder when (-2)\/(-2 + (-200)\/p) is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -0.5, 2, 4 in descending order.\nAnswer: 22, 4, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802 = -67*w + 1167 - 428 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 488821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -9*d + 135. Let r be o(30). Does 37 divide (-52650)\/r - (0 + 1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, 5*r - 2*c = 3*c - 30. Let z be (-27361)\/(-2) - (12\/8 + r). Suppose -9*j + z + 7316 = 0. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvhx when four letters picked without replacement from hxxhvv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17*-6.5593\nAnswer: -111.5081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmm when three letters picked without replacement from {b: 6, n: 1, m: 4, d: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44173\/3 + -14725. What is the nearest to 17 in k, -3, 1, 1\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -22 + 0\/(4 + 1). What is the lowest common multiple of 18 and (-4)\/((-1)\/c*-4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3544, 4081, 5530, 8347, 12988, 19909?\nAnswer: 29566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -893*u**4\/4 - 426*u**2 + 258. Find the second derivative of m(a) wrt a.\nAnswer: -5358*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26953996 and -1.\nAnswer: 26953996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 30, 76, 140, 228, 346?\nAnswer: 500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187532 is divided by 97.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 1\/3, 0.2, -5\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -1, -2, 2, 1, -4, -5 in increasing order.\nAnswer: -14, -5, -4, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2184, 1883, 1382, 675, -244?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 27 + (6 - 13) - (1 - -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 793321*g**2 + 689951.\nAnswer: 1586642*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1541207?\nAnswer: 23, 113, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20396 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5\/4 - 45*u**4\/8 - 3*u**3\/8 + 147*u**2\/8 + 153*u\/8 + 21\/4 = 0. What is u?\nAnswer: -7, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 + 3*f - 7. Let s(k) = 10*k**2 - 4*k + 7. Let i(v) = -4*r(v) - 3*s(v). What is the first derivative of i(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + sqrt(130) + (sqrt(130)*5 - sqrt(130) - sqrt(130)))*4)\/(sqrt(60)\/(sqrt(600) - sqrt(6))).\nAnswer: 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*k + 103, -5*s - 10 = -5*k + 120. What is the remainder when k is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22293 + -22187. Is 53 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 10. Give f(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvye when four letters picked without replacement from xxevvxelevefxyxxvfev.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.04776 * 14.868\nAnswer: -0.71009568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3123031122 (base 4) to base 13.\nAnswer: 2558bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.27, 128, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-4*a - 3*a + 3*a) + (2 - 2 + 1)*(4*a - 5*a + 0*a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*z + 1454. Suppose -z = -4*s + 77. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**3 - 5*p - 1. Let g(b) = -5*b**3 + 7*b + 2. Let d(c) = 3*g(c) + 4*k(c). What is d(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 11:53 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*c - 1, -3*c + 5*c - 4 = 0. Suppose 2*b + y*b = 2*b. What is the second biggest value in 2, b, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 - 34*o**3 - o - 765 + o.\nAnswer: -24*o**3 - 765","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.82763 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*2\/(5 - 3). Let v be -2 + (-1)\/(s\/22). Let t = v + -12. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37566244397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 980 + 38. Suppose 3*b + 4*o = 670, o + 116 = -4*b + k. What is the second derivative of b*c**3 + 10*c + 21*c - 209*c**3 wrt c?\nAnswer: 102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-146)\/(-7) + 1\/7. Suppose g - 1 = p. Suppose 2*h + 0 - g = 0. List the prime factors of h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*u - 40*u = 0. Suppose 8 = 5*x - 12. Let w(m) = 3 + x + m + 1. Determine w(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 272\/(-30) - (-308)\/2695*(-56)\/(-96)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1117 - 1861 + 1291 - 1598 - 175)*(2 - 2 + a).\nAnswer: -3460*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(102) - (sqrt(102) + (sqrt(102) - 3*sqrt(102) - sqrt(102))))*-1)\/(sqrt(96)*-6 + sqrt(486)*-2).\nAnswer: -5*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from dwwddwddwd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*(-2 + 3)\/(-3). Which is the nearest to o? (a) -0.2 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37440, 378, -3 in decreasing order.\nAnswer: 378, -3, -37440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -23104154 (base 6) to base 5\nAnswer: -140133200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10257?\nAnswer: 3, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**3\/6 + f**2\/2 + 2*f. What is the remainder when (-1)\/((-58)\/348 + (-2)\/(-36)) is divided by z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/93 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -91, 1.5, -4?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = z. Let m = -1189\/226 + 312\/113. Which is the third smallest value? (a) m (b) -1\/3 (c) z (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5814 and 63462546?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 3*o**8\/280 - o**4\/2 - 16*o**3\/3 + 31*o. Let v(f) be the second derivative of i(f). Find the first derivative of v(q) wrt q.\nAnswer: 72*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 0 + -230 + 260 - 17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6 + (-19)\/3. Suppose m = 5*r - 13, 0*r + 4 = 4*r - 4*m. Let n(o) = 60*o**2 - 33*o**2 - o**r - 7*o - 34*o**2 + 6. Give n(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 9:31 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 16. Let o be d(11). Let m be 3\/o + 1104\/(-40). Let p = 66 + -91. Is p != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -144?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -3. Suppose 11 = -4*m - 3*f + 135, 0 = 2*m - 5*f - 88. Calculate the least common multiple of m and j.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252762 and 86299.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 104*m**2 + 1. Let n(p) = -10*p + 48. Let f(k) = -3*k + 15. Let d(g) = 16*f(g) - 5*n(g). Calculate d(c(x)).\nAnswer: 208*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11763 (base 8) in base 6?\nAnswer: -35351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 59 + 26)*(3*q - 5*q + 4*q) as c*q + w and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3 = -13. Suppose p*q + q + g + 15 = 0, 0 = -5*g. Let i be (-8)\/(-4) + 22\/(-14). Which is the closest to 0.1? (a) q (b) i (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -5*n**3 - 7*n**2 + 55*n - 14. Let t(s) = 3*s**3 + 4*s**2 - 28*s + 8. What is 7*t(m) + 4*z(m)?\nAnswer: m**3 + 24*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + (26955\/(-2997) - (-4 + 0)). Let q = -76.8 - -77. What is the third biggest value in 5, q, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/((-1)\/(-3))*-2200000. Round y to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 11:17 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 + 10*w + 5. Let g(r) = -22*r**2 - 32*r - 16. Let q(k) = 16*d(k) + 5*g(k). Let z(l) = 232*l. What is z(q(m))?\nAnswer: 464*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(1\/(-2) - 0). Suppose -136 = 4*p - 324. Let v = p + s. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 597567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 399 less than 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iai when three letters picked without replacement from {a: 5, i: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/u**3)*u*u**(2\/5)*(u**(-2))**(4\/9) assuming u is positive.\nAnswer: u**(158\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**8\/336 + z**7\/24 - z**6\/12 - 4*z**3 - 13. Let o(u) be the third derivative of c(u). Suppose o(p) = 0. Calculate p.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133960511 rounded to the nearest 100000?\nAnswer: 134000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*h = -849*h - 7340 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2596.5 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) + -2)*3 + -2 + sqrt(1700) + -1 - (sqrt(1700) + -2 + 3 - (1 + -1 + sqrt(1700) + sqrt(1700) - sqrt(1700))))*-1)**2.\nAnswer: -800*sqrt(17) + 27300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {g: 14, w: 2, l: 1, k: 1, n: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - l**2 + 68 - 32 - 70*l.\nAnswer: -l**2 - 70*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2 - 4 - k**2 + 2. Let c(b) = -2*b**2 - 2*b - 2. Let v(z) = -5*z**2 - 7*z - 7. Let q(o) = -7*c(o) + 2*v(o). What is x(q(d))?\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -9 + 5 - (1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20)*-2)\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 25161044?\nAnswer: 25161050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1211240 and 44?\nAnswer: 13323640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8621 + -9256. What is the biggest value in -0.05, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - 1\/(-3). Suppose -3*m - 1 = -13. Let z(w) = -w**4 + 3*w**2 - 2*w - 4. Let v(p) = p + 1. Let y(h) = b*z(h) + m*v(h). Suppose y(a) = 0. What is a?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 784022 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 7*z - 10. Solve 16*u - 7*u**2 + 4*u**z + 7*u**2 + 12 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-13 - -17) + (-48)\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 10*h - 8. Let z be m(-9). Let w(d) = z - 4*d - 3 + 0 + 4. Let p(x) = x - 11. Let b be p(8). Calculate w(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 2:50 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a - 2, 3*n + 3*a - 36 = 0. Suppose 1 + 5 = -3*z - 2*t, t + 8 = -4*z. What is the remainder when (z - 55)\/((-9)\/6) is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6 and -97\/523732.\nAnswer: 1571196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 2*b - 704 = 0. Suppose 5*n + 31 = -4*d + b, 2*n - 6 = -4*d. Sort n, -4, -24 in descending order.\nAnswer: -4, n, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 4*s - 3. Let n be g(3). Let y be (-1)\/(-4)*1 + 99\/n. Suppose 0 = m + y - 8. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 687470 or 0.43?\nAnswer: 687470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 4*c**5 + 3*c**5 + (-3*c**2 + 0*c**2 + 5*c**2)*(-2*c**3 + 0*c**3 + 0*c**3) - 19*c**5 + 25*c**5 + 19*c - 7*c**5.\nAnswer: -4*c**5 + 19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1756 is divided by 614?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 14, -22090 in ascending order.\nAnswer: -22090, -2\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 77 = 5*g, -d + 2*g + 3*g = 76. Let v = d + 167. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*k, -5*s + 2*k + 3 = -14. Let o(p) = 2*p**3 + 25 - 3*p**s - 15 + 4*p**2 + 3*p**2 + 5*p. Determine o(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 11*z**7\/2520 + z**4\/12 + 7*z**3 - 85*z**2. Let y(o) be the second derivative of w(o). Let c(i) = -3*i**2. Determine y(c(v)).\nAnswer: 99*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -24 or -10477894?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4269441 and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24256 - 0?\nAnswer: 24256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 20 + 3 = x, 3*x = -15. Suppose -r*i = -3*i - 42. Suppose -3*s + 30 = -0*s. What is the lowest common multiple of s and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148211272 and 1039.\nAnswer: 148211272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, -45, 1, 3, -15, -2 in decreasing order.\nAnswer: 359, 3, 1, -2, -15, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18.07 - 18. Let k = 0.93 + s. Are k and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 185540 or 0.4?\nAnswer: 185540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(((sqrt(6)*-3 + sqrt(6) + sqrt(6))*-2)\/sqrt(2) + ((sqrt(84) + sqrt(21))\/sqrt(7) - (sqrt(3) + -1*sqrt(363)))).\nAnswer: -15*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -283024*d**4 - 114909872*d**3 - 11663999988*d**2 - 87694376*d - 164836.\nAnswer: -4*(d + 203)**2*(266*d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*y - 230, -5*y + y + 105*k = 78*k + 33 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -85. Suppose l*w - 2*w = 2*r - 60, 4*w - 146 = -5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.285591 - -0.2199342?\nAnswer: 126.5055252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2021 and 2491?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/30767 and 25\/8391.\nAnswer: 92301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/8 - 23*l**4\/4 + 131*l**3\/2 - 931*l**2\/4 + 915*l\/8 + 837\/2 = 0.\nAnswer: -1, 3, 4, 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.12 + -355.67. Let b = -395 - v. Sort b, 0.5, 2\/7.\nAnswer: b, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 + o**2\/2 - 3*o - 388. Let j be 299\/(-69) - (-2)\/6. Calculate q(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*l + 139*x - 65*x - 73*x, -16 = -5*x + 29 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 205.0704 + -205. What is z rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83 - 71. Let c(o) = -40 + 7*o - y + 8. What are the prime factors of c(17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166.998 + 0.002. Let n = -174.3 + h. Let m = 7.299876 + n. Round m to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) + (0 - 2). Let d = 5 + b. Suppose -4*t = -d*s - 0*s - 168, -4*t - 3*s + 203 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/23)*x**0)**(38\/3) assuming x is positive.\nAnswer: x**(38\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.846 and -11.3786.\nAnswer: -66.5192956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7989*f**3*s**4 + f**3*s**2 - 4*f**3*s + s**4 + 83*s**2 + 5*s wrt s.\nAnswer: -191736*f**3*s + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 5*g**2)*((-g**2 + 3*g - 3*g)*(-3*g + 3*g + 2*g) - 23*g**2 - 3*g + 21*g**2 + g**3 + 9*g).\nAnswer: 5*g**5 + 10*g**4 - 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 115.297mm?\nAnswer: 115297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u**2 + 23*u + 88. Let h be z(-8). Let n = h - 665. Solve -n*r = -4*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/(-336)*(-15)\/75*6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-16)*o)\/o*o)\/(o*o\/o**(3\/7))*(o\/(o\/(o**(-2)*o)*o))**(4\/37) assuming o is positive.\nAnswer: o**(-4348\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 - 132*j + 19. Determine x(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.2415 and 12341579?\nAnswer: 12341580.2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 12*u - 16. Let c(d) = d**2 - 23*d - 32. Let g(q) = -2*c(q) + 5*l(q). Let t be g(-5). Let o = t + -1420\/11. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -470089 * 5.\nAnswer: -2350445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - 15 = 0. Suppose 0 = i*b + 33 - 3. Let y be (-258)\/(-10) + (-2)\/b. Solve 2*o + 6 = 4*c, 0*o - 5*o = c + y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 26*j**3 - 88*j**2 - 19*j. Let m(i) = -i**3 + 2*i**2 - i. Let t(b) = 5*m(b) + o(b). Suppose t(c) = 0. Calculate c.\nAnswer: -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 28. Let j be l(0). What is the greatest common divisor of 308 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {x: 2, b: 9, k: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-12)\/4 - -3. Suppose -u*y - 3*p + 1 = 5, -y = -5*p - 22. Suppose 2*q = -y*h + 3*q + 73, -195 = -5*h + 5*q. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8)\/sqrt(4)*-5)**2 - sqrt(24)\/(sqrt(12)*2)) + 4.\nAnswer: -sqrt(2)\/2 + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 3, x: 1, q: 3, t: 3}. Give prob of picking 2 q and 2 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.935605354 to 4 dps.\nAnswer: 1.9356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 4*f - 2*f - 8*f to the form p + l*f and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiijjiiiijiijij?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 6. Suppose -z*b = -b - 28. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 + 15 = -14*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, r: 7}. Give prob of picking 2 r.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -119211.493 to the nearest ten.\nAnswer: -119210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.0124235 minutes to days.\nAnswer: 0.000703071875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1344*o - 186 = 1313*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m. Let g(x) = -x. Let z be g(-2). Let f(r) = r**z - 3*r + 3*r. What is f(l(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 16556713925.\nAnswer: -16556713925.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22320021 - 10?\nAnswer: -22320031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.341 - 0.841. Suppose -3*p - 2*p = -20. What is the second biggest value in 4\/5, p, o, 1\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -226, -293, -396, -541, -734, -981, -1288?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 10. Let z be x(10). Solve z*w + 12 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/(-1170))\/(6\/5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 706 = 3*k - 257. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-340)\/(-1326)*39)\/((6\/8)\/3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.65 - 237.35. Let t = -243 - i. Suppose -s + 6 - 2 = 0. Which is the nearest to 0? (a) -1\/5 (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1*-3 - (-18 + -4) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u**2 + 8*u + 10. Let v be (-36)\/(-96) - (-148)\/32. Let j(c) = -5*c**2 - 8*c - 11. Let g(r) = v*j(r) + 4*b(r). Factor g(a).\nAnswer: -(a + 3)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 33*o**3 - 9*o**2 + 24*o + 9. Let x(f) = 8*f**3 - 2*f**2 + 6*f + 2. Let p(a) = 9*x(a) - 2*y(a). Find the second derivative of p(u) wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 4:30 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**3 - 2*d**3 + 0*d**3)*(-5*d**2 - 3*d**2 - 4*d**2).\nAnswer: -24*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113 and 1243.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/9? (a) 7 (b) 1 (c) -0.151 (d) 21\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v + 76*d + 169 = 11*v + 23, -2*v + 4*d = -20 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*w**3 - 355*w**3 + 120*w**3.\nAnswer: -75*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1892, -3519, -5220, -7001, -8868, -10827, -12884, -15045?\nAnswer: -17316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -461 divided by -18.\nAnswer: 461\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 4059?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 41 = -m, 3*m - 3*h = -4*h + 68. Suppose -3*g = -10*g + m. Solve 2*c - 3*l - 6 = 2*l, 0 = -g*c + 3*l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74)\/(-259)*(-70)\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25494.9898 + -25493. What is x rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 2 + (15 - 15) - (-4 - 22).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, p: 6, u: 3, h: 2, n: 2}. Give prob of sequence dhn.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (5 - (-1 + 3)). Suppose j = 7*h - 8*h + 4. Solve -r + 3*b + 1 = -1, 4*r - h*b = 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/24 + s**3\/6 + 6*s**2. Let c(p) = -p**2 - 3*p + 2. Let n(u) = -3*a(u) + c(u). Determine n(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, -3\/5, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/5)\/(4\/(-40)). Let q = 3 - n. What is the smallest common multiple of 10 and q?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4192680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-4)\/8)*-14. Calculate the remainder when o - -206*(0 + 1) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 166652148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127 + 128 = -0*c - c, 416 = 11*a + 2*c for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -394*(-6)\/(-2 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255\/4 - 64. Which is the closest to -2\/5? (a) d (b) -1 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.008 - -13.492. Let w = v - 14. Which is the closest to -2? (a) -0.09 (b) w (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(8)*1))\/(2*sqrt(891) + sqrt(891)).\nAnswer: sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2822 divided by -2822.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 8 + -5 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 - 4*x**4 + x**4)*(-x - 5 + 5)*(-2 - 1 + 0) + (-3*x + 3*x + 2*x)*(-3*x**4 + 0*x**4 + x**4).\nAnswer: -10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 99 = 9*i. Let q be ((-28)\/8)\/(4\/(-8)). Suppose 0 = 4*t - 37 - q. What is the greatest common factor of i and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 5 + 3 + v**3 - 232*v**2 + 239*v**2 + 0*v**3. Suppose 110*y + 305 + 465 = 0. Give w(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64878967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 210039.\nAnswer: -1\/70013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3566 = 5*k, 2931 = 4*k - 4*w + 83. Calculate the smallest common multiple of k and 31.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/16 - 0)\/((-57)\/38)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*k, f + 3*f - k - 84 = 0. Let w(o) = o**2 + 11*o + 16. Let x be w(-10). Let y = x - 1. Solve -y*h + f = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.06445518, -2\/21, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(2000))*1 - (sqrt(2000) + (sqrt(2000) - (sqrt(2000) - 5*-2*sqrt(2000))))) + -5)**2.\nAnswer: -1600*sqrt(5) + 200016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1322 and 14.\nAnswer: -18508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13, -2, 25, 74, 151, 262, 413?\n\"Answer: b**3 + 2*b**2 - 2*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -673 (base 9) to base 11.\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 18958 and -2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 1\/4*z**4 - 3*z + 0*z**2 + 0*z**3 - 1. Differentiate o(d) with respect to d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + (-7)\/(-7). Do b and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {m: 1, s: 2, b: 1, t: 1, v: 1, g: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37267999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -3*h + 32. Let g be n(12). Let s(a) = 6*a**2. Let v(f) = -3*f**2 - 104 + 10*f**2 + 104. Determine g*v(i) + 5*s(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -c**6\/120 - c**5\/12 - 7*c**4\/24 + 3*c**3\/2 - 26*c**2. What is the tens digit of z(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = 1, 3*x = 2*o - 1. Suppose o*q = -q + 15. Suppose 3*u - 15 = 3*r, -2*r = -3*u - q*r + 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41962\/15, 0.24, 0 in descending order.\nAnswer: 0.24, 0, -41962\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-3))\/(8\/156). Let v = q + 16. Let l(z) = -z**3 + 5*z**2 - 3*z + 3. Let n be l(v). Solve -2*g = -h + 6, 0*h - n = 4*g - h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1231.2, 1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 71118 divided by -6?\nAnswer: -11853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at most -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 8*h**2 + 8*h + 1. Let l(n) = n + 23. Let o be l(-16). Calculate t(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w. Let s(z) be the first derivative of -z**5\/30 - z**3 - 3. Let p(v) be the third derivative of s(v). Give p(n(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4\/7, 4, -1\/68 in descending order.\nAnswer: 5, 4, -1\/68, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -15. Let d = f - -50. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-108)\/(-30)*(-304)\/2736.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 3*d**2\/2 + 5. Let p(z) be the second derivative of 139*z**4\/12 - z**3\/6 - 13983*z. Calculate b(p(f)).\nAnswer: 417*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = -8*v - 2228. Let h = 278 + v. Sort 2, h, -5, -4 in decreasing order.\nAnswer: 2, -4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**5 + 856*z**4 + 129973*z**3 + 7205030*z**2 + 140309000*z + 252824000 = 0. What is z?\nAnswer: -680, -65, -44, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50356696, 50356701, 50356706, 50356711?\nAnswer: 50356716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 13607811 to the nearest one hundred thousand.\nAnswer: 13600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 14, 33, 68, 125, 210, 329?\n\"Answer: l**3 - l**2 + 5*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -11 - (-2 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226625 bigger than 1226624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6508161 divided by -297.\nAnswer: 21913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 961\/6629 - 2\/947. What is the second smallest value in -0.13, d, 9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {m: 6, a: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/4 (c) -1\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 7*c**4\/4 - c**3\/3 + 53*c + 3. Find the third derivative of u(i) wrt i.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 29\/145 + (-6)\/(-45). Let c(m) be the first derivative of 0*m + k*m**4 + 0*m**2 + 4\/3*m**3 + 4. Let c(l) = 0. What is l?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**3 - 234*h**2 - 135*h - 33. Let q be y(34). Let f be 0 - (1087\/1089 - 1). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2. Let k(b) = -9821*b + 1. Calculate k(q(c)).\nAnswer: -58926*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/6)*(h**(2\/71)*h)\/h*(h\/(h**(-23)*h))\/((h\/h**13*h)\/h))**49 assuming h is positive.\nAnswer: h**(755531\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39495 by -3.\nAnswer: 13165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2) + 2 + 0. Suppose 0 = 3*f - 7*f - 20. Let b(j) = -7*j + 41. Let g be b(6). What is the closest to g in f, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1049\/4 or -261?\nAnswer: -1049\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1990659 and 1611.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (6*(sqrt(99)*2)**2 - (sqrt(99)*1)**2*5) + 5.\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxxxh. What is prob of sequence hx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -31*g - 59. Let d be r(-2). Solve 0*s = 4*o - 2*s + 12, d*o + 3*s = 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a day in minutes?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6)*(-520)\/(-50)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6539*s + 2 - 4*s**3 - 3*s**3 + s**3 + 6539*s + 27*s**2 + 98*s**2.\nAnswer: -6*s**3 + 125*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 203843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/9 - 2*l + 4 = 0. What is l?\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - (-45)\/(-675). Which is the nearest to -1? (a) 2 (b) 3\/5 (c) -0.24 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2123 or 1606?\nAnswer: 2123","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 113493232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7599 is divided by 690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 14 = -5*l. Suppose 0 = -4*y + 19*y - 45. Solve 4*s - y*g + l = 0, g - 6 = -5*s - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 115?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 i when three letters picked without replacement from amwaiamnamnazawwiiw.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 102 * -239225\nAnswer: -24400950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 35. Let j(i) = -429*i + 1521. Let f(g) = 43*g - 156. Let n(r) = -39*f(r) - 4*j(r). Determine x(n(m)).\nAnswer: 3042*m**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20)*c**(2\/7)*(c**(-22)*c*c)\/c*c*(c*(c**(-7\/3)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-925\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 5*m**2 - 5*m + 7. Let q be 1*((-9 - -2) + 1). Let d be x(q). Let a be 0\/(d - (0 - -2)). Solve 0 = 5*w - 4*k + 45, a = 3*k - 8 - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 984, 1484, 1982, 2478, 2972?\nAnswer: 3464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9674141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + 18089790\/2300. Let s = 7865 - y. Calculate the common denominator of 56\/3 and s.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x + 24*x + 27*x + 59*x - 131*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3020\/123 + -32\/41. Let j = z + 25. Let y be -11 - (-511)\/35 - 12\/3. Which is the biggest value? (a) -3\/5 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 22 = -50. Suppose -705 = -l*a + 3183. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5745816*0.1.\nAnswer: -574581.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*o - 5*m + 2, 2*o + 3*m = 3. Let j be (-5 + o)*(-2)\/(-2). What are the prime factors of 2 - j*3\/(-9)*-129?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54354*y - 108358*y + 54034*y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 796359 and -0.1.\nAnswer: -79635.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30 + 8\/(-40).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 19. Let m = 44\/3 + o. Let q = 37.058 + -0.058. What is the nearest to m in 1\/5, 2\/7, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -23*a**3 + a**2 + 6*a - 274. Let h(i) = 46*i**3 - 2*i**2 - 11*i + 550. Let g(x) = -11*d(x) - 6*h(x). Find the first derivative of g(l) wrt l.\nAnswer: -69*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -2)*(1\/(-11) - 21336\/(-77)) is divided by 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3692 and 145692?\nAnswer: 1893996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/23 (b) -0.4 (c) 1\/7 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 133770*k**2 - 28718372*k.\nAnswer: 2*k*(k - 67099)*(k + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*o + 0 = -5, -2*o + 4 = 2*h. Let t(v) = 4*v**2 + v**3 + 7*v + h*v**2 - 5*v - 5. Calculate the remainder when t(-6) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1 + (0 - 0). Let t(d) = -d - 6. Let g be t(-10). Find the third derivative of -2*h**4 - h**2 + i*h**4 - 2*h**g wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3023\/4 + 21125\/28. Which is greater: 68 or f?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z. Let m(c) = c. Determine -2*m(v) + n(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/8 (b) 3\/5 (c) -2\/11 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - g + 3*g)*(-4*g**3 + 6*g**3 - g**3) - 2*g**4 + 2*g**3 - 2*g**3.\nAnswer: 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n - 5. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 505535 * 0.05.\nAnswer: 25276.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) + -2*sqrt(190)*3) - sqrt(190))\/(sqrt(480)\/sqrt(3)))**2 + (sqrt(152)\/(-3*sqrt(968) - sqrt(968)) + -3)**2.\nAnswer: 3*sqrt(19)\/22 + 37459\/968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-9\/8))**(-2\/55) assuming t is positive.\nAnswer: t**(1\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.06*-0.05.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -344235 divided by -5?\nAnswer: 68847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 1322 + 3890. Let s be 2\/7 + (m\/(-168) - 3). What is the nearest to s in 0.1, 3\/5, -3\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.5553*-2.\nAnswer: -65.1106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 5*a, -5*p + 10 = 2*a - 0. Suppose 5*f = -2*r - 12, a = -3*r + 6*r + 4*f + 11. Which is smaller: r or 1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 2. Let s be f(3). Suppose 5*g = -0*g + 125. Suppose g = -4*m + 2*p + 3*p, 10 = 2*p. Solve j - s*h - 10 = -5*h, m = j - 2*h + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:56 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.63 - -0.0607\nAnswer: -0.5693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 44*g**2 - 964*g + 51936. Calculate d(47).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:13 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p**3 - 5*p**2 + 3*p - 9. Let b(v) = -2*v - 11*v**3 + 8 - 158*v**2 + 78*v**2 + 84*v**2 + 0*v**3. Give 7*b(u) + 6*i(u).\nAnswer: -5*u**3 - 2*u**2 + 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/5*120\/7480.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s. Let n(d) be the third derivative of 7*d**4\/12 - 9*d**2. Calculate p(n(w)).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a millennium?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -25. Let t = w + -4. Put t, -1\/3, -3, 0.2 in increasing order.\nAnswer: t, -3, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1434009205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 19*s - 76. Let a be t(7). Solve -25 = 3*m + 4*g, -a*g = -4*g + 16 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**2*r\/r**(-10)*r\/(r\/r**0*r)*r\/(r\/(r**(-2)*r*r*r*r)) assuming r is positive.\nAnswer: r**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 80 + 22*w**2 - 80. Let s(i) = -i. Give s(f(j)).\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7111366 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 441 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126 - 199. Suppose -92*o = 2136 + 5408. Let n = x - o. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 35, 156, 399, 806, 1419?\nAnswer: 2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59602661 a multiple of 407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6*(17 + 1513\/(-85))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 p when three letters picked without replacement from {p: 6, b: 5, d: 2}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 2. Let x be a(4). Let p(g) = g**2 - 1. Let l be p(x). Suppose l*k - 84 = -q - 0*q, 3*q - 5*k = 252. Is 28 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (4 - -22 - 20) + -5.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 14*v - 16. Let l be r(-6). Which is the second biggest value? (a) l (b) -0.4 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -65*s**5 + 760*s**4 + 4095*s**3 + 5990*s**2 + 2720*s = 0?\nAnswer: -2, -17\/13, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwnsw. What is prob of picking 1 s and 1 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518 + -506. Let r(q) = 2*q**3 - 3*q**2 - 4*q + 3. Let d be r(3). Solve d - t = 3*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -331011?\nAnswer: -331014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3316 (base 10) to base 3.\nAnswer: -11112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**3 - 2776*q**2 - 297036*q - 2196576 = 0. What is q?\nAnswer: -87, -8, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4521, 59 in increasing order.\nAnswer: -3, 3, 59, 4521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 0*z**3 - 2*z**3 + 5*z**3.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**5\/40 + h**3\/3 + 11*h**2 + 11*h. Let r(f) be the second derivative of p(f). Give r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*c**3 + 16*c**3 + 3*c**3.\nAnswer: 62*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38075 divided by 5?\nAnswer: 7615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -358202, -358197, -358192?\n\"Answer: 5*k - 358207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 790.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0*(-3)\/45*-5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00119814495 rounded to seven decimal places?\nAnswer: 0.0011981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 178, 194, 234, 310, 434, 618?\n\"Answer: 2*m**3 + 2*m + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -86 (b) -0.2 (c) 9 (d) 18 (e) -4 (f) -25 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 12. Let b(n) = 2*n + 25. Let w(y) = -6*b(y) + 13*d(y). Differentiate w(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 i when three letters picked without replacement from cccoccuoiiocsccco.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 17*a**2 - 4*a - 66. Is 10 a factor of w(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0217 and -4?\nAnswer: 0.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0)**(1\/3)\/(k*k**1\/k)**(-8))**43 assuming k is positive.\nAnswer: k**(1075\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13397839*c + 1061556 wrt c.\nAnswer: -13397839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1274, 1222, 1144, 1040?\nAnswer: 910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 (base 14) in base 3?\nAnswer: 11210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24.1? (a) 0 (b) 17 (c) -0.1 (d) 2\/7 (e) -392\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1283*o + 2619. Let i be w(-2). Calculate the greatest common factor of 11183 and i.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 20. Let y = o + -1. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9445*l + 9907789. Determine o(1049).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*a**2 - 1 + 59*a + 23*a**3 + 7*a**3 - 38*a**3 + 6*a**3 - 15*a to r*a**3 + j + z*a**2 + u*a and give u.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-4)\/sqrt(12))**2 - sqrt(11) - (sqrt(11) - (sqrt(11) + ((sqrt(132)*-1)\/sqrt(12))**2)).\nAnswer: -sqrt(11) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.76297578 - -2.763. What is c rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282542183.\nAnswer: 7, 11, 524197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7274 + 7918. Calculate the least common multiple of y and 18.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15.6 - 17.362. Let i = w - -0.346. Round i to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -76\/3. Let m(z) = -z**3 + 5*z**2 + 6*z - 9. Let h be m(6). Let q = h + 6. What is the closest to o in -5, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 = -11*a - 117 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) + sqrt(243)*1 + sqrt(243))*-6 - (sqrt(243) - 5*(-1 + sqrt(243)))) + 4)**2.\nAnswer: 252*sqrt(3) + 47629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 9:54 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 21066.\nAnswer: 126396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 8:08 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0144240674 rounded to four dps?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431429537.\nAnswer: 7, 11, 641, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-6) - 68\/24. Let s be 3\/(-4*d\/16). Determine b so that -4*b**2 + s*b**2 + 2 + b**2 - 2*b - 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n\/n**(1\/8)))\/(n**(-3)\/n**(-1\/10)) assuming n is positive.\nAnswer: n**(361\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 854611 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 + z**2 - 6*z + 6. Let p be j(3). Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/(-52))\/((-3)\/2)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Let u(y) = -4 + 5*y + 2 + 3. Let j(a) = 3*g(a) + 2*u(a). What is the units digit of j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*k**2 - 2*k - 870*k**2 + 2*k.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**5\/180 - 5*c**4\/72 - 7*c**3\/9 + 50*c**2 + 3*c. Factor b(s).\nAnswer: (s - 7)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 7:09 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + (-1*sqrt(275))**2 + -4 + (sqrt(121)*3*6)\/(sqrt(1331) + -1*sqrt(1331) + sqrt(1331) + sqrt(11)).\nAnswer: 3*sqrt(11)\/2 + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-168))\/(13\/(-39)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -30 (b) 0.2 (c) -5\/4 (d) 10\/57 (e) -0.0016 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 970*i**2 - 2*i**3 - 215*i**6 - 272*i**6 + 184*i**6 wrt i?\nAnswer: -36360*i**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113869, 2, -0.3, 2\/3, -1\/10 in decreasing order.\nAnswer: 113869, 2, 2\/3, -1\/10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940) - (sqrt(2940) - sqrt(2940)*1))\/(sqrt(12) - (sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4)*1)).\nAnswer: -7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000017245 to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0 + 0*q**2 + 1\/6*q**4 + 0*q**3 - 3*q. Let k(r) = -2*r**2. What is x(k(t))?\nAnswer: 8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -159, -135, -87, -15, 81?\n\"Answer: 12*o**2 - 12*o - 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 41 = y - 2*y, 8 = -4*y. Let z = 224 - m. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from {k: 2, w: 1, j: 1, h: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 65.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 628, 605, 562, 493, 392?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 88 = 11*c. Which is smaller: 264 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/645115909?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 2*n - 150. Let y = n + -37. Suppose -6*r = -7*r + y. Is r a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*p**2*x**2 + 2*i*p*x**2 - 3*i*p*x - i*x**2 - 4209*i - 3427*p**3*x wrt p?\nAnswer: 2*i*x**2 - 20562*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 7*t - 6. What is s(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26399, 52534, 78669, 104804, 130939, 157074?\n\"Answer: 26135*z + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11235, -11343, -11451, -11559, -11667, -11775?\n\"Answer: -108*w - 11127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 9\/2. Let y = 0.554 + -0.154. Let h(c) = -c**3 + 5*c**2 + 19*c - 81. Let x be h(6). What is the second smallest value in y, -0.2, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56453.4g in milligrams?\nAnswer: 56453400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*-6*1\/(-162).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**3 + 2*p**2 - 9*p + 9. Let u = 1 + 3. Let v(t) = 3*t**3 + t**2 - 4*t + 4. Let w(d) = u*k(d) - 9*v(d). Determine f, given that w(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 divided by 3?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51411\/7 - 7377. Which is greater: -34 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2890 and 101\/132362.\nAnswer: 661810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 6 = 0, 2*g + 25*m = -19*m + 53*m + 15 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let j be (-2)\/12 + y\/18. Solve q + 2 = -j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*i - 97*i = 141*i + 444 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3 + 32101*n**2 - 449267*n + 1572263 = 0 for n.\nAnswer: 7, 32087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.04 + 0.04. Let w = -4.9 - m. Let q = -0.100024 + w. What is q rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -162*j + 161*j + 5*g, -4*g - 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33991651 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 105002*w + 16. Let n be z(-8). Round n to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/156)\/(1 + 77\/(-63)). Which is the third smallest value? (a) -3\/4 (b) 9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412\/(4 + -3) + (-5)\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 3\/2, -2, -1, 2\/47?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2281b (base 16) to base 4.\nAnswer: -202200123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-1\/6)*k*k*k**(-14)*(k\/(k*k**(-1\/3)*k))\/k*k*k\/k**10 assuming k is positive.\nAnswer: k**(-125\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280 (base 9) to base 8.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -676 + 680. Solve -2*o + 3*i = 8*i + 25, 5*o = f*i + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.31 + 0.69. Let t = -23\/36 - -5\/12. Let k = -579 - -584. Which is the closest to 0.2? (a) t (b) n (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 times -17?\nAnswer: -3859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*o**4 - 34*o**5 + 28*o**4 + (3*o + 3*o - 4*o)*(-2*o**4 + 2*o**4 - o**4) - 31*o**3 + 31*o**3 + 41*o**5 - 4*o**4 + 4*o**4 - o**5.\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 27693?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -454?\nAnswer: -6\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2694391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + -21.991. Let h = y - 22.009. Let c = -11 + h. Is -0.1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -612889, 9, -5, -1\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 11*v**2 + 27*v + 8. Let p be c(13). Suppose 4*h + 2*l - 145 = l, h - 30 = l. What is the greatest common factor of h and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9291 and 7344943?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let d(t) be the second derivative of t**3\/6 - t**2\/2 - 9*t. Suppose 0 = -5*b + r - 16, 5*b - 4*r + 4 = -0*r. What is b*d(o) + 3*w(o)?\nAnswer: -4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2. Suppose -10 = 3*r - 2*d, -2*r + 7*r - 4*d + 16 = 0. Is 5 a factor of c(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154701*w + 469201*w - 154888*w - 157016*w.\nAnswer: 2596*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/415 and -59\/830.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yygqdqqmmqwggqmdmq. Give prob of sequence qd.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168483311*a*h**3 + 18*a*h**2 + 110645*a*h - 1 wrt h.\nAnswer: 1010899866*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 5) + 1 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 6. Let v be z(-6). Suppose 4*c = -0*c - v. Let y = 15 + -15.5. What is the closest to 1 in c, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 4*k - 6. Suppose -k = 3*d, 4*w - 337 = 5*d - 2*d. Calculate the remainder when w is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/2 - -8)*(-4)\/(-3). Suppose 11*j - w*j = -2*j. Solve j - 15 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 8398\/(-425))\/((-518)\/(-105) + -5)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 6:09 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2*m*m**7)\/((m*m*m*m**(-8))\/(m\/m**(11\/3))))**8 assuming m is positive.\nAnswer: m**(296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(126\/(-49)))\/(1\/114). Let i be 3 - (2 + 2) - -674. Let m = j + i. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28177883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**9\/(c*c**(-9\/7)) assuming c is positive.\nAnswer: c**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*g + 19 = 0, 2*g - 6 + 1 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 60 = -2*s, -w = -4*s + 15 + 115. Calculate the highest common factor of 22 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from ppmpmmpmpmmmmmmmppm?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 373 - -19?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 180?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.92454 - -2.13446. Let c = 125 - f. Let v = 0.0590118 + c. What is v rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1340*m + 3*s + 42 = -1337*m, 0 = 2*m - 68*s - 1018 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 39415.27 years?\nAnswer: 39.41527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -2, 17, -3.\nAnswer: -3, -2, -1, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/386 + 15291\/1544. Find the common denominator of p and (312\/21)\/((-12)\/126*-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-42)\/9))\/((-3)\/(-164))*7\/(-1)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 31*f + 139. Let v be s(4). Let w(z) = 54*z**3 - z**2 + 2*z + 2. What is w(v)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 10) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 1.6378.\nAnswer: 0.049134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + 9. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 9\/7, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 2 + 2)*(18 - 1 - 6) + (5*y + 5*y - 5*y + 2*y**2)*(6 + 2 - 4) to the form v + c*y**2 + a*y and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23318664133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o + 24. What is the smallest common multiple of 10 and n(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540060 is divided by 30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17835 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22354055359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Solve q + 3 - 4 = u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309013*j**2 + 0*j + 309024*j**2 - 5*j + 4*j.\nAnswer: 11*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.8, -15, 1, 3\/7.\nAnswer: -15, 3\/7, 1, 1.8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - 110011010?\nAnswer: -110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let q(n) be the second derivative of -n**3\/6 + 3*n. Calculate j(q(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1697200 rounded to the nearest ten thousand?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 169123615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*(-1012)\/(-35420).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - -2 - (10 - (21 - 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11985876?\nAnswer: 2, 3, 7, 47563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 794476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13358 - 13324. What is the smallest value in -5, 2\/15, z, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -57 + 201. What is the tens digit of (o\/(-10))\/((-1)\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164786, -164785, -164784, -164783?\nAnswer: -164782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c + 1. Let a be n(-1). Suppose -5*h + 24660 = 5*o, -5*h + 9*o = a*o - 24620. Suppose -6*m + h = 926. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.5, -1\/10, -48, -24, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84)*-2)\/(3*sqrt(12)*-1).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 105465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r + 2. Let x be r\/11 + (-4)\/(-22). Is x smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 z when three letters picked without replacement from {z: 1, x: 3, w: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -r + 30, -r + 0 + 25 = v. Suppose -293 + 73 = -11*h. Calculate the greatest common factor of r and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -1\/3, -1\/7, 1, 16.3, 3 in increasing order.\nAnswer: -1\/3, -1\/7, 1, 3, 16.3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - 2*r**2 - 2*r**2)*(-3*r + r - 2*r)*(12*r - 8*r + 12*r) to w*r**4 + t*r**2 + m + o*r**3 + j*r and give w.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**5\/60 - p**4\/24 + p**2. Let k(j) = -j - 12. Let u be k(-15). Let v be (-2 - (-6)\/2)\/(u\/6). What is i(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -4369c8?\nAnswer: 4369c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 280 and -186?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(18\/57))\/(2\/6). Let g(m) = -8 + v - 4 + 2*m + 16. Is 11 a factor of g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/13)*a)\/(a*a*a**(-2))*a**(1\/6)\/(a\/a**(-2)))**44 assuming a is positive.\nAnswer: a**(-3410\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2843039 - 1294445. Suppose x = -z - 7191406. What is z rounded to the nearest 100000?\nAnswer: -8700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 525 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2724 and 46126.\nAnswer: 125647224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f**3 + 244*f**3 - 47*f**3 - 49*f**3 - 62*f**3.\nAnswer: 34*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)*z**2)\/(z**(-1))**40 assuming z is positive.\nAnswer: z**(628\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 232635786073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 d when two letters picked without replacement from oodvvdddddvvdvvdvv.\nAnswer: 64\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r + 15 + 6 + r. Suppose 4*u + 3*b - 15 = 8*b, -5*b = -25. Is j(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 - 201. Let y(v) = -12*v**2 - 3*v - 1. Let i be y(-3). Let k = a - i. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.75 + 4. Let n = y - 0.05. Which is the third biggest value? (a) -4 (b) n (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -129 + 132. Suppose -4*b + 200 = n*r + 29, 3*r + 99 = 2*b. What is the highest common factor of b and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-6) - (-18)\/27. Suppose -u + 5*l + 10 = m*l, 0 = 4*l + 4. Let r = -38 - -33. What is the second smallest value in u, 0.3, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 11 + -6 - (-5 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.3668kg to grams.\nAnswer: 4366.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/6 + 6245*m**3\/3 + 38509873*m**2\/6 - 510166540*m + 10010374296.\nAnswer: (m - 39)**2*(m + 6284)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 821112661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 21, 5, -1\/5, -465 in decreasing order.\nAnswer: 21, 5, -1\/5, -12, -465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i + 4 = 0. Let l = -3 + i. Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289138559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-184)\/(-182) - 4\/14. Let a = d + -4\/7. Let i = -66\/5 - -13. Which is bigger: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3*l - 6 + (-1 + 2 + 3)*(1 - l - 1))*(-5 + 5 - 2*l).\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - g. Let l(b) = -5*b**3 + 5*b**2 - 8*b + 1. Let d(p) = -4*k(p) + l(p). Suppose -h - 3*x - 8 = 0, -2*h + x + 4*x = -28. Give d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (sqrt(98) + 0 - sqrt(98)))**2 + sqrt(16)\/(sqrt(8) + (sqrt(8) - sqrt(32)) - sqrt(8)).\nAnswer: -sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*j**4*q + 7*j**3*q**3 - j*q**3 + 22*j*q**2 - 3*j wrt j.\nAnswer: 288*j**2*q + 42*j*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9697*b - 2208 - 9712*b + 9034*b**2 + 19410*b wrt b?\nAnswer: 18068*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210410 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 847 + -218. Find the second derivative of u*k + 668*k - 1245*k - 45*k**4 wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Suppose -5*x - 3*t - 3 = 0, x + 3*x + 32 = 5*t. Let d = s - x. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 495*u**3 + 20851*u**2 + 40814966*u wrt u?\nAnswer: 2970*u + 41702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/4 + (2 - -2). Is (0 - 2103)*w\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.648017 - 43.9480435. Let q = g - -18.3. What is q rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let r(z) = 3*z - 3. Let w be 1572\/(-36) - 1\/3. Let l = 45 + w. Let h(c) = l*r(c) + 4*f(c). Determine h(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6944 + 2061 - 109)*(g - g - 2*g).\nAnswer: 9984*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -908*h**2 - 194*h + 415*h + 18*h**2 - 221*h as r*h + z + i*h**2 and give i.\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.153 - -2140.\nAnswer: 2140.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1964.68259 to the nearest ten.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-24 - (-12 + -16)) - -47?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -26*g**2 - 3*g - 93. Find the first derivative of y(i) wrt i.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3695540 is divided by 55?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -53?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2 times 235892?\nAnswer: 754854.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -30*j. Let f(v) = -2*v - 5037. What is u(f(o))?\nAnswer: 60*o + 151110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2\/2*4\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -1 (b) 1 (c) 1284 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67*z**3 - 845136*z**2 - 23146*z + 598.\nAnswer: -402*z - 1690272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x + 2*n - 25, 3*x = 2*n + 17. Is x < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*a = -18, -3*s + 11*a - 8*a + 9 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 1532, 2\/13, 0.14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 8829783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59197 + 90990. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -179*g - 2. Let y(b) = -b**2 - 28*b + 90. What is the remainder when i(-1) is divided by y(-30)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/10)*l\/(l**(2\/5)*l) assuming l is positive.\nAnswer: l**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1454787*h**2\/5 - 2909577*h\/5 + 6\/5.\nAnswer: 3*(h - 2)*(484929*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78615.7 - 82855. Let q = -4067 - f. Let b = q - 194. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - ((sqrt(242) + -1)**2 - sqrt(2)) - (sqrt(2) - (5 + sqrt(2) + 0))**2.\nAnswer: -268 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 7:48 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 - 416 = 42*u + 643 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pf when two letters picked without replacement from {m: 2, a: 1, o: 1, b: 5, p: 4, f: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1237197.\nAnswer: 3, 13, 31723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*z + 166, 2*x = -x + 3*z + 114. Suppose x = -0*w + w. Suppose -4*o + w = o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/4 + p**3\/3 - 1. Let b(l) = 4*l**3 + 3*l**2 - 1. Suppose -642*c - 514*c = -394*c - 2286. Give c*x(m) - b(m).\nAnswer: -m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = h - 3 - 18, 0 = 2*i + h + 33. Let r = i + 25. Suppose 5*s - 4*t + r + 5 = 0, -2*s - 2*t = -6. Which is the closest to 0.1? (a) 0.4 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 2, -3, -10, -19, -30?\n\"Answer: -l**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23122 and 23118229.\nAnswer: 23141351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049593 equal to 24396747\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7856313?\nAnswer: 3, 79, 33149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3d746 + -2?\nAnswer: 3d744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 3. Let m(k) = k + 7. Let x be m(d). List the prime factors of 384\/x + (-18)\/42.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 6:29 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 - 12*j**2 - 10*j.\nAnswer: -2*j*(j + 1)*(j + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*k + 21, -4*x - x + 6 = -3*k. Find the second derivative of t + 7*t - 5*t**4 + x*t**4 - 3*t wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 0*n)*(2*n**2 + 0 + 0)*(0 + 3 - 2) + (2*n + 3 - 3)*(-3 + 3 + 2*n**2).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 4*d**2 + 3*d + 3 - 2*d**2. Let v be p(-3). Let n be (-161)\/(-46)*(-1 + (-16)\/(-14)). What is the second biggest value in 0, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255543006 and 3228?\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 1\/6 (c) 65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22445 divided by -9\nAnswer: 22445\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 650813\/4 + -167129. Let t = k + 4404. What is the common denominator of -42 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15983549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 1. Let h be (-10)\/(1 + (-21)\/6). Let s = -12 + 13. Let o(d) = -d**3 - 4*d**2 + 4*d - 4. What is h*l(g) + s*o(g)?\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 + 3. Let o(n) = -16 + 1 + 8947*n**2 - 8957*n**2. Let y = 0 - -11. Determine y*h(g) + 2*o(g).\nAnswer: 2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-6)\/(240\/215)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 4:11 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 411855538*f**4 - 69033472*f?\nAnswer: 4942266456*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 - 39910*d**2 - 5 + 39910*d**2 + 5.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414864219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3225 is divided by 1609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1057\/2*18\/(-66)*(-40)\/(-30). Which is greater: -193 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5373 + -5373.16926. Let v = -24 + 23.83. Let z = t - v. What is z rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265 + -271. Let d be (-7 - (-61 + 0))*(-2)\/x. What is the highest common divisor of 15 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14430000 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 15*s + 7. Let b be h(8). Let c = b - -670. Suppose -v + 20 = -c. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4*1*sqrt(208) + sqrt(208) - ((sqrt(208) + -1 + sqrt(208))*-5 - sqrt(208))**2)*-2*3 + -2.\nAnswer: -453476 + 8280*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93991.87 decades to millennia.\nAnswer: 939.9187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81 in -0.4, -4, -74, -2\/9, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3 = t + 2*t, 0 = -t + 3*s + 15. Suppose -2*i + 15 + t = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4374, 4370, 4364, 4356, 4346?\n\"Answer: -d**2 - d + 4376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 18*h + 42 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 2*s**6\/3 - 24*s**5\/5 + 11*s**4 - 8*s**3 + 532. Find z such that n(z) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*10*95\/(-20). Let t be 1\/(-1) - n\/97. Is t >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4\/2687 + -260615\/16122. Find the common denominator of (51\/(-10) + -2)*1 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 31 = -58. Let x be 12\/8 - j\/(-6). Solve -4*n = x*i + i - 8, 0 = 5*i - 5*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 11:31 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*2\/(-2)*(-1)\/3. Find the third derivative of 7*q**2 + 60*q**3 + 57*q**2 - 2*q**2 - 11*q**o + 2 wrt q.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*b - 2*b - 4*b)*(-7*b**2 - 7*b**3 + 7*b**2 + (-4*b + b + b)*(4 - b**2 - 4))*(-8*b + 5*b - 19*b).\nAnswer: 110*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -1\/3*a**3 - 12*a + 0*a**2 + 0. Let m(j) = -22*j. What is m(c(t))?\nAnswer: 44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 - 5*m**4\/12 - m**3\/2 - 9*m**2 + 16*m - 19. Give w(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 94915 - 235?\nAnswer: 946a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.0807 + -0.0807. What is the third biggest value in -8, v, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3239*i**3 - 9675*i**3 - 1824*i**3.\nAnswer: -8260*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 657*n**2 - 10*n + 108 - 659*n**2. Let m be d(5). Solve -2*z + 3 = -m*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154510 (base 7) in base 6?\nAnswer: 352524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(7\/6))*y**(-6\/11)*y)\/(y*y\/(y**(-1\/4)*y*y))**(2\/37) assuming y is positive.\nAnswer: y**(-886\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -58251 (c) 0.03 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 29*m. Let n(y) = 110*y. Let u(d) = 10*d. Let t(p) = n(p) - 10*u(p). Calculate t(i(z)).\nAnswer: -30*z**2 + 290*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 + 1cf293b?\nAnswer: 1cf2924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 6*g - 24. Let u be (-34)\/g + -5 - (-4)\/(-6). Let r = -2.1 - -2.5. What is the third smallest value in 5, r, u, 1\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/205 and -163\/6810.\nAnswer: 279210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 30. What is the smallest common multiple of s(-14) and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cl when two letters picked without replacement from {o: 4, c: 1, x: 2, p: 1, l: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -40. Let i(h) = 7*h**2 - 2*h + 1. Let q be i(j). Let d be (-26)\/(-10) - 15\/q. Solve 5*z + 12 = -n, -2*n + 3*z - 2 = d*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -12162*x - x**2 + 12162*x + 2*x**2. Let h(a) = 3*a + 3. Determine h(s(b)).\nAnswer: 3*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 30a?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -292214*-84\nAnswer: 24545976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 6*o**2 + o - 6. Suppose 8*x = 3*x + 20. Suppose 5*h + 0*j = 3*j - 18, x*h + 36 = -3*j. Let p be w(h). Which is smaller: -13 or p?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16605, 16600, 16595, 16590, 16585, 16580?\n\"Answer: -5*v + 16610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 0. Let y = 49 - 48.5. Which is the nearest to 3? (a) 0.4 (b) x (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 124 + -88. Let s = n + -38. Let i = 4288\/13 - 330. Which is the closest to s? (a) i (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 296425*n**3 + 4970*n**2 - 2485*n - 2485. Let u(c) = -358*c**3 - 6*c**2 + 3*c + 3. Calculate -3*o(s) - 2485*u(s).\nAnswer: 355*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d + 1. Let n(m) = 27*m**2 - 4*m - 10. Determine -n(l) - 4*y(l).\nAnswer: -27*l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + z - 4. Suppose 4*m - 80 = -c - z*c, 4*m = 20. Solve 4 = s - q, 4*s + 5*q + c = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooooqoqoooooo. What is prob of sequence qo?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0916099828 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -8.79662.\nAnswer: -8.79662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8*(-3828)\/(-33). Sort -17, m, -3 in descending order.\nAnswer: -3, -17, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117 - 117 + 21*w**3 + (-w**2 - 2*w**2 + w**2)*(-3*w + w + 4*w))*((-4*w - w + 3*w)*(0 + 0 - 1) + w - 3*w + 6*w + (1 - 3 + 0)*(0*w + w + 0*w)).\nAnswer: 68*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*l + 1862 = -0*k, -5*k + 2*l = -3108. Suppose 0 = 2*y - 74 - k. Suppose -10*z + 4*z = -y. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -600803420 rounded to the nearest ten thousand?\nAnswer: -600800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:30 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*h - 70, -5*g - 2689 + 3264 = -5*h. Calculate the remainder when g is divided by -2 + (19 + -2 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086339648 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -19.69872.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -128?\nAnswer: 3\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 - 12*s - 141. Let p(w) = 27*w**2 - 63*w - 705. Calculate 21*o(z) - 4*p(z).\nAnswer: -3*z**2 - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2582932.\nAnswer: 2, 11, 47, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + -4 + 0 + -6. Does 11 divide (w - -4) + 30 - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 12 = 0, 18 = -369*c + 374*c - 2*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -254 in 0, 0.9, 0.3, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39554234.\nAnswer: 2, 19777117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11444, 4, 0, 2102 in ascending order.\nAnswer: -11444, 0, 4, 2102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 6*c**2 + 6*c. Suppose 4*q - 6*q + 2 = 0. Let g(t) = t**2 + t. Give q*b(r) - 6*g(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 87102371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + q - 25 = 0, -10973 = 5*q - 10978 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:43 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 103*b - 955. Is v(16) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (9 + (33 - (-18 + 40)))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195746313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -24 + 3 - -12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6555 divided by -1311\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16095 - -16094. Which is the nearest to -1? (a) -1\/4 (b) -9\/13 (c) r (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - s = -7*d - 21, 0 = -150*d + 153*d + 5*s + 233 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42 - -1 - (-372 + 298)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1196 and 368.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 8*k**2 - 9*k + 4. Let q be r(9). Let y be (q + 1 - 2) + -1. Suppose -z - 3*w - 2 = -39, y*z = w + 46. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/13 - 100*h**4\/13 + 798*h**3\/13.\nAnswer: -2*h**3*(h - 7)*(h + 57)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 + q**2 + 3*q + 2. Let z be f(4). Let u = z - -266. Suppose -6*d = -2*d + 5*c - u, 0 = 5*c + 20. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 10*k + 2. Suppose 2*w + 20 = -c, 2*w - 2*c = c - 12. Let v be n(w). Let l = v + 54. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1662, -2879, -4102, -5331, -6566, -7807?\nAnswer: -9054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 less than 2218?\nAnswer: 2129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2688\/2240)\/(4\/310). Solve -98*k + 15 = -b*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 17*s - 52 = 0. Let n(a) = -2*a**2 - 2*a + 3. Let f(k) = 2*k**2 + 3*k - 4. Give s*n(h) - 3*f(h).\nAnswer: 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 3*j**2 - 2*j + 1. Let d be p(4). Let r(q) be the third derivative of q**5\/30 - 7*q**4\/12 + q**3\/6 - 155*q**2. List the prime factors of r(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f + 100 = 532 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 153*m**2 - 475*m + 1106. Let b be r(156). Solve -3*d + b = x + 3, -2*x - d + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 987 - 985. What is the highest common divisor of q and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20678405.\nAnswer: 5, 11, 375971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60089331 to the power of 1\/2, to the nearest integer?\nAnswer: 7752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1358 + 3394. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 21*r\/4 - 88.\nAnswer: (r - 11)*(r + 32)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6462, -14232, -22000, -29766, -37530?\n\"Answer: v**2 - 7773*v + 1310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 7*i**2 - 6*i + 3. Suppose -2*m = -3*h - 14, -2*m + h + 4 = 3*h. Let p be b(m). Let l = p + 106. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.63017 years to millennia.\nAnswer: 0.02963017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -26*c**2. Let l(k) = -9*k - 5. Give l(z(t)).\nAnswer: 234*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 28*h - 100. Let c be u(23). Put -4, 6, c in ascending order.\nAnswer: -4, 6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4\/(-24) - (-533)\/(-78)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1267 - 20265\/16. What is the common denominator of 77\/8 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 258*n**5 - 777*n**4 + 783*n**3 - 267*n**2 + 3*n.\nAnswer: 3*n*(n - 1)**3*(86*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 500 - 497. What is the derivative of d*t + 52 + 19*t + 8*t + 9*t + 5*t wrt t?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from hstthsxshxltxsssstts?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-6)*-2 - 46\/(-22). Which is the closest to 1? (a) 1\/2 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 2012.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -4, 1, 12416 in descending order.\nAnswer: 12416, 3, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**3*l*l**(-6)*l*((l*(l**(1\/4)*l)\/l*l)\/l)\/((l\/l**(-1\/3)*l)\/l*l) assuming l is positive.\nAnswer: l**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012210 - 2210012?\nAnswer: -21222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 2}. What is prob of picking 2 q?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(528) + sqrt(528))\/sqrt(12))\/(sqrt(2) + -1*-2*sqrt(2) - sqrt(2)))\/(sqrt(108)\/sqrt(6) - sqrt(2) - sqrt(128)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 5*v - 4145. Give p(-67).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 487274929?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/335 or -13010?\nAnswer: -13010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3389472 is divided by 564912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905\/1 - 6\/((-3)\/(-1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8*l + 5438 = -13*l, -6*q - 4*l = -8226. Is q > 1367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10645 = -192*i + 197*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40394, -40554, -40714?\nAnswer: -40874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(50) + -5*sqrt(2450))\/sqrt(10) + 5.\nAnswer: -34*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:29 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 0 + 2\/7*u**3 - 2\/7*u**2.\nAnswer: 2*u**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7.57282 decades?\nAnswer: 0.757282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5987, -7817, -9673, -11561, -13487?\nAnswer: -15457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j)**(-10\/3)\/(j**(-3)*j**(6\/7))*(j**(-7)*j*j\/(j*j\/(j*j\/((j**(5\/7)*j)\/j)))*j)\/(((j**(-7)\/j)\/j)\/j*j**4) assuming j is positive.\nAnswer: j**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8210 is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, a: 3, x: 1, t: 6}. What is prob of sequence tt?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 1. Let s(t) = -3*t**2 + 54*t + 9. Let v(d) = 12*q(d) + s(d). Factor v(l).\nAnswer: -3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -495 - -1021. Let m = g - 523. Put -6\/13, m, 4 in decreasing order.\nAnswer: 4, m, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*b + 52*b + 272 = 4*j, 5*b + 89 = j. Calculate the remainder when 135 is divided by j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 69125 (b) -4 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 3*r - 10*r. Let c be 10\/40 - r\/(-20). What is the nearest to 33 in c, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 394.34 - 394. What is the third biggest value in j, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 173267, 346548, 519827, 693104?\n\"Answer: -i**2 + 173284*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*w = -12, 4*v - 4*w - 9 = -3*w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -48, -86, -134?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from iivhihri?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 9*t - 1. Let g be s(-7). Let q = g + 24. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 0 + 8*n + 1\/105*n**6 + 1\/21*n**3 + 0*n**2 + 1\/14*n**4 + 3\/70*n**5. Let l(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**2 + 6350*s + 12720 = 0.\nAnswer: -2, 1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (4 + 0) - (3 - 1)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*q = -281*q + 3024520. Is 98 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 13*x - 11*x - 42*x + (4 - 6 + 1)*(-x + 1 - 1))*(4*x**2 - 5*x**2 + 2*x**2) to j + c*x**3 + g*x + n*x**2 and give c.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84 - 8. Suppose 0 = a + a - 38. Calculate the greatest common factor of i and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*268196\nAnswer: 1609176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z = -18. Suppose -z = -3*n - 4*m - m, 5*n + m - 10 = 0. Suppose 5*h**2 - h + 0*h**2 - 4*h**n = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*a - 5*p + 18, 2*a + p - 10 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -74 + -36?\nAnswer: -aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * -1497441\nAnswer: 134769.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -843, -3413, -7707, -13731, -21491, -30993?\n\"Answer: -s**3 - 856*s**2 + 5*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)**(9\/8)\/(k**6\/(k\/((k*k*k\/(((k*k**(2\/15))\/k)\/k)*k*k)\/k))))\/((k**(-1\/4)*k)**(10\/13)*(k**(2\/5)\/k)**(3\/31)) assuming k is positive.\nAnswer: k**(-125561\/12090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 40*i - 1077. Let k be g(27). Let d(m) = -m**3 - 6*m**2 + 2*m - 8. Let w be d(-7). Calculate the greatest common factor of w and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1645788 + 990212. What is w rounded to the nearest 10000?\nAnswer: 2640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1025 - -1300. Calculate the remainder when b is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 611 = 2*h, -2*b + 181 = -h - 132. Let k = -211 - h. Calculate the remainder when 180 is divided by k.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 2*d + 5*q, -5*q = -q - 4. Let h = d + 91. List the prime factors of h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -13 + 438948\/33930 + (-2)\/(-26). What is the second biggest value in x, -0.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1201 - 664. Let r = m - 547.05. Round r to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - (8 - (5 + 15 + 8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 91283288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5*x + 15 = 0, -5*m + 5*x - 30 = -10*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43927 is divided by 1211?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = p, -1143*v = -1147*v + p + 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 8*r**3 + 255*r**2 - 31*r + 119. Give x(-32).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245051 - -405?\nAnswer: -244242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvxle. Give prob of picking 1 p and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 + 3.02. Let t = 7 - 7. Let r = t + 0. Which is the closest to r? (a) l (b) 2 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1292 divided by 323.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/20 - 1\/4)*((-10540)\/(-221))\/(-31)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24183363*k**3 + 23747317*k**2.\nAnswer: -145100178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5917 - -5917.000017169. Round x to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -635.887 and -5?\nAnswer: 630.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(3\/3*-1). Let k(q) = -2*q**c - 2*q**2 + 2*q**2. Let y(f) = -f**2. What is y(k(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-603)\/(-134)*(-140)\/12*(-128)\/2016.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7905)\/2790)\/((-1)\/(-12))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 6 (b) -2\/17 (c) -6\/7 (d) -2\/3 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 1 + m**2 + 6*m - 5*m. Let z(q) = -5*q + 3*q - 6*q**2 - 7*q - 5 + 5*q**2. Let d be z(-9). Calculate r(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(147)*1*6*2)**2.\nAnswer: 338688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204079031 is divided by 3741.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 100 = 4*m - 131, -2*m + 20 = -4*w. Let s(z) = -15*z + 1. Let d(q) = 7*q. Determine m*s(j) + 9*d(j).\nAnswer: 3*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joojoooojoojjo. Give prob of picking 3 j.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let o be ((-1)\/(-4))\/(10\/(-12)). Let m = -1\/5 + o. What is the biggest value in f, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -20. Let a(w) = -2*w + 30. Let j be a(c). Factor 8\/11*y**j + 8\/11*y - 30\/11*y**3 + 24\/11*y**2 + 0.\nAnswer: 2*y*(y - 2)**2*(4*y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t**2 - t - 24. Let c(y) = -y**2 - y. Let w(h) = 4*c(h) - g(h). Let d = -64 - -64. Is w(d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/4*(-5)\/(-10). Let v = 20.06 + -0.06. Let m = -15 + v. Which is the third biggest value? (a) l (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2087, -4427, -6769, -9113, -11459?\nAnswer: -13807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48 (b) 0.01 (c) 2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/19))\/c*c)\/(c**(-3\/2)\/c*c)*(c\/(c**1*c))**(1\/61)*(c**0)**(-23)\/(c**(-7)\/c**(7\/3)) assuming c is positive.\nAnswer: c**(81443\/6954)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1275\/14 - -641\/7. Which is bigger: 218\/9 or z?\nAnswer: 218\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 6, 1, 1\/3, 0.3 in decreasing order.\nAnswer: 6, 1, 1\/3, 0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -g, f + f - 5*g = 22. Let r = 169511\/30996 - 5\/1107. Let k = r + -21\/4. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10 - (4 - 6775\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1419179704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -39*t + 1075. Let v(g) = 98*g - 2149. Give 10*m(l) + 4*v(l).\nAnswer: 2*l + 2154","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g + 73. Give k(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from zepezee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a litre in millilitres?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1320 and 1368.\nAnswer: 75240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 6*y = -6. Let s be (-6)\/y - 24\/(-4). Which is smaller: 9 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 110452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 35, 25, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 4*i + 27. Let f(n) = 2*n**2 - 5*n + 52. Let j(x) = 3*f(x) - 7*w(x). Determine j(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 326620 and 980.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 12*k. Let f(r) = 3*r**2 - 15*r. Let c(y) = -4*f(y) - 5*v(y). Let m(l) be the third derivative of -55*l**5\/12 + 6*l**2. What is c(m(d))?\nAnswer: -151250*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 30*c + 81. Let a be b(-27). Suppose 4*o + 774 - 898 = a. Calculate the remainder when 150 is divided by o.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14580 divided by 5.\nAnswer: 2916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 5, -5*p - 2 = 2*c + 7. Let s = -5 + c. Suppose 0*u = s*u + 4*x - 443, u + 2*x = 149. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p + 760*p**2 - 759*p**2 + 0 + 2 to the form w*p**2 + m*p + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 5.2. Let w = 59\/6 + -991\/102. Which is the third smallest value? (a) w (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*2497\nAnswer: 9988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 29*b**2 + 441*b + 8. Determine a(11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**2)\/f)**14*((f\/(f**0*f))\/f)**(-19))**(-26))**13 assuming f is positive.\nAnswer: f**3042","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2429 - 48597\/20. Calculate the common denominator of y and -41\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 891, 3, -5 in increasing order.\nAnswer: -5, 1, 3, 891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-3 - -7) + 4 - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 - 1524*v**2 - 18756*v - 42444.\nAnswer: 4*(v - 393)*(v + 3)*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/164948 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = 18. Let u be t*((-2)\/(-4) + 0). Let f = u - -12. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - 15*b - 87. Let v be y(-10). What is the nearest to 1\/2 in v, -3\/5, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 0*c + 3*c + 3*c. Let o(l) = l. Let k(g) = g. Let s = 36 + -35. Let w(z) = s*o(z) + k(z). Determine w(t(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(833) + (sqrt(833) + 2*(sqrt(833)*-3 - sqrt(833)) - sqrt(833)) + -1)**2.\nAnswer: 98*sqrt(17) + 40818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 - (3 + 1). Let m be 43 + 1*1404\/(-27). Put m, s, -2 in ascending order.\nAnswer: m, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 14*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -3\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 24. Let x be (-33)\/(-7) - 16\/(-56). Solve -s = -i + 2*i + 6, -f*s - 15 = x*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)\/n*n*(n\/n**(-1\/6)*n)\/n*(n**(-3\/7)*n*n*n*n)\/(n*n**(-9)) assuming n is positive.\nAnswer: n**(325\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130 + 213?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 8. Let c(d) be the first derivative of 13*d**2\/2 - 11*d - 108. Let m be c(0). Give u(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/18*-111 - 2*2. Let g = -96 - u. Calculate the common denominator of 137\/30 and (-56)\/(-6)*(-12)\/g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 912, 911, 910, 909, 908, 907?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 14*w**6\/3 + 1349*w**5\/60 + 2*w**2 - 250*w. What is the third derivative of x(s) wrt s?\nAnswer: 3360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13111 - 9356. Is b a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 6 = 2*l, 0 = -3*h + 2*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 6*u = 4. Let r = u - -1. Do r and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 241\/6*m + 158\/3 + 1\/2*m**2 = 0?\nAnswer: -79, -4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2 + 4*j. Let n be o(3). Let a be (-1)\/6*3*0. Suppose s + n*i = 66, a*s - i = -s + 70. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-47 - 18) + 25?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1331372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 255 - 181. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87cc44c - -1?\nAnswer: 87cc450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + h - 3. Let f(z) = -17*z**2 - 3*z + 13. Determine 2*f(w) + 9*i(w).\nAnswer: 2*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*h - 302 = 83 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/34, 14, 35, 2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14021687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -1901814*h**4\/11 + 570363514158*h**3\/11 + 574417745820*h**2\/11 + 4059527592*h\/11 + 7197744\/11 = 0. Calculate h.\nAnswer: -1, -2\/563, 299906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 463196 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-75) + -3 + (-56)\/(-21).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915951580287 + 40*r + 915951580287.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 7*g + g - 133 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2467.803+5\nAnswer: -2462.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 + 12 = 0. Let z be (24\/14)\/((-1)\/(14\/l)). Solve 5*u = -z - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1970, 5, -5 in descending order.\nAnswer: 5, -1, -5, -1970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 18*u + 71. Let r be a(9). Let v = 463 - r. Calculate the highest common divisor of 46 and v.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 8:35 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 + 2*t + 2. Let g = -218 - -226. Suppose g*n + 2 = -14. Determine a(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -2244661\nAnswer: 13\/2244661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 944 at most 944?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 5 in increasing order.\nAnswer: -5, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9464 + ((-121)\/11 - -15) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*h**6 + 2 - 11*h**6 - 13*h**2 + 8*h**4 + 0*h**4 - 8*h**6 wrt h?\nAnswer: -240*h**3 + 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**5*h)\/(h*h**(-8\/5)*h))**(-1\/2)*((h*h\/(h**(-2\/3)\/h*h))**43)**(3\/2) assuming h is positive.\nAnswer: h**(846\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 142.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5352 = -5*d + 3*a, -d + a + 1088 = -4*a. Is 89 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/951 - 51561884\/(-1719091)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ywm when three letters picked without replacement from {d: 5, s: 3, m: 4, u: 1, w: 1, y: 3}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5*h + 4 + 3)*(3 + 1 - 1)*(-2*h + 2*h - 3*h).\nAnswer: -45*h**2 - 18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/168 and -29\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 5233361?\nAnswer: 5233366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j - 3. Let i be r(1). Let 0*m**5 - i*m**5 + 5*m**4 + m**5 - m**3 - 7*m**4 = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 * 455\nAnswer: -1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46448780.23 rounded to the nearest 100000?\nAnswer: 46400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 * -0.0134\nAnswer: 0.001474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10101100110101110101 (base 2) to base 13\nAnswer: 1ba313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 16*y**2 - 1678*y + 24165. Give a(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2. Let c(p) = -p**2 + 1. Let d(i) = 2*c(i) + q(i). Let g(x) = -5*x**2 - 11. Let v(s) = 11*d(s) + 2*g(s). Let j(o) = -2*o. Calculate v(j(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5632, 5224, 4236, 2416, -488, -4728, -10556?\n\"Answer: -42*p**3 - 38*p**2 + 5712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 472.9757 kilograms in milligrams?\nAnswer: 472975700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.416 + 10.616. Sort -0.3, h, 666.\nAnswer: -0.3, h, 666","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -13\/5569332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 68521549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/69 in 461\/4, -1\/4, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 3*h**2 + 33*h - 9. Suppose i + 5 = -k, 3*i - 2*k + 13 = -2. Let s be z(i). Is s greater than 107\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-6)\/(-18))\/(5\/3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-104 + (-140)\/(-35) + (16 - 2)).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1794*j**2 - 21529*j + 15. What is q(-12)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*d - 170 = 7*d, 4*v - 2*d = 128. What is the tens digit of 40\/v*(-90)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03 - -0.43. Let j(r) = -r - 5. Let c be j(-6). Let q be c + 1 + 10\/(-8). Put q, b, -3 in increasing order.\nAnswer: -3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 27*r - 12 - 25. Factor -2\/3 + 0*d + 2\/3*d**r.\nAnswer: 2*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 + -22 + 3 + (19 - -1) + (-1 - -11).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 10*a**2 + 12*a. Let r be j(-11). Suppose -19 - 11 = 5*f - 4*i, 0 = -f + 3*i - 17. Put f, 3, r in increasing order.\nAnswer: r, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 359 and -0.02?\nAnswer: -7.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3869*b**5 - 86*b**2 + 39*b wrt b.\nAnswer: -232140*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 6*u**2 - 26*u + 128. What is w(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 - 173. Solve -5*c = -2*n - 7, v = n - c + 3*c - 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-15) - (-2)\/3. Is 6\/5 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 - -210. Does 7 divide (-5 + (-984)\/16)\/(w\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2319 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -15. Calculate the least common multiple of 9 and (n + -2)*(-13 + 4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1202630\/7 - 171797. Find the common denominator of (-283)\/(-282) - 2\/6 and c.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -655917?\nAnswer: -655917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 105306.\nAnswer: 315918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.5 - 3.3. What is the nearest to v in 3\/7, -3\/2, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12258688 and 462592.\nAnswer: 24517376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(sqrt(832) + sqrt(832) + (sqrt(832) - (sqrt(832) + -1 - sqrt(832))) + 1 - sqrt(832)) + 5 + -2))**2.\nAnswer: 23040*sqrt(13) + 1917828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -258864 by -43.\nAnswer: 258864\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 444 + -290 - (84 - 3)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8460696 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 411 (base 5) in base 7?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0363 - -1.5263. Let y = t + -1.39. What is the smallest value in y, 0, 3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -2, -1\/429?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - c. Let n be ((c + 52)\/1)\/1. Calculate the common denominator of (-2)\/4 - n\/7 and -17\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36b + 56?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 121121 (base 3) to base 10\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(92\/(-64)*-8 + 1 + -8)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyy when three letters picked without replacement from {g: 1, i: 2, q: 2, y: 8}.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*o - 12. Let f be -3*8\/(-6) + o. Suppose -3*q = q + 3*m - 7, f = 2*q - m. Calculate the least common multiple of 6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -3\/7, -0.3, -749658, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-20)\/16*1*132\/(-2530)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3*v**5\/20 + 2*v**3\/3 - 2*v + 2. Let a(w) be the first derivative of i(w). Find the second derivative of a(m) wrt m.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13512 - -270241\/20. Let n(l) be the first derivative of -8 + 1\/12*l**3 + 1\/8*l**4 + 0*l + y*l**5 + 0*l**2. Factor n(u).\nAnswer: u**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let d = 19 - o. Is d 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 {h: 3, z: 3, f: 6, r: 2, x: 6}. What is prob of sequence xrff?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 4*m + 5*x + 75, 2*x = -3*m - 4. Solve 5*y + 4*s + 3 = 7, -5*y - s + 1 = m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-325)*-15)\/((-18)\/(-20))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = l + 7, -2*l - 2*g + 1 = -g. Solve 0 = -3*p + 3*j + 12, 2*p + l*p - 5*j - 19 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -78795, -157586, -236375, -315162, -393947?\n\"Answer: y**2 - 78794*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 494\/(-117) + 1\/((-9)\/(-2)). Let g be -3 + (3 + -2 - i). What is the common denominator of -71\/21 and -2 + -321*g\/(-72)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2574188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -630.599969352 + 630.6. Round i to seven decimal places.\nAnswer: 0.0000306","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60702286.\nAnswer: 2, 47, 439, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 59 = -5*i, -4*u + 0*u - 3*i + 151 = 0. Suppose -u = 5*w - 19. Let s be ((-2)\/w)\/((-10)\/(-75)). Solve -3*b = -t + 13, 5*t + s*b = 8 - 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 1:03 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -61. Let m = 22 + -12. Suppose 2*n = -w*x - 4, 3*n + m = -2*x + x. Let p(u) = 2*u**2 + 6*u. Give p(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102114 (base 5) to base 3.\nAnswer: 11200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.21800103 + 0.218. What is d rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 equal to 13.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 104136?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 419*q**8\/336 - q**7\/105 - 52*q**5\/15 + q**4\/24 - 2*q**2 + 337*q. What is the third derivative of d(y) wrt y?\nAnswer: 25140*y**2 - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28934?\nAnswer: 2, 17, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4438172 or 4438155?\nAnswer: 4438172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3)\/12)\/(-1))\/((-5)\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65101.35 rounded to the nearest one hundred?\nAnswer: 65100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10555 * -0.5\nAnswer: 5277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by -50.\nAnswer: -27\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/21*(-1995)\/(-190)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.031, -11, 0.1, -0.1, 3, 11 in increasing order.\nAnswer: -11, -0.1, 0.031, 0.1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*t = -146, -27*o - t = -30*o + 185. Let g be 4\/14 - (12 - 828\/o). Is g at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3367?\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 33*d**2 - 560*d + 6825. What is z(22)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 - 3*o + 13. Let g be u(-6). Let i(j) = 0 - 4*j**2 - j**2 - j**3 + 138*j - 137*j + 0*j**3 - 5. Give i(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*a - 21, 2*t + 4*a = -11 - 21. Let f be 12\/(-30) - (-16)\/t. Let v be (-28)\/(-7) - (f + 0). What is the highest common factor of v and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.1 in 0, -111278, -0.5, -1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*o - 6, -123*t = -119*t + 3*o + 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10777?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33609*s - 33609*s - 44*s**2 - 23*s**2 - 33*s**2.\nAnswer: -100*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*(1739\/329 + (-2)\/7). Let l be f\/(-70) - (-123)\/21. Let w be 1\/(-2) + 14\/4. Solve -l*d + w*d = 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 2, v: 1, d: 1}. Give prob of picking 1 a, 1 v, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20151707 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 - 2*t**3 - t**2)*(-22 + 1124*t - 1126*t + 6) in the form b*t**3 + w*t**2 + o*t**4 + v*t + q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (5*(4 + sqrt(684) + -1) - (-1 + sqrt(684) + -1 + -5)))*4)**2*3.\nAnswer: 39168*sqrt(19) + 539184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 12 = -2*u, 0 = 3*f + 5*u - 2*u - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -18. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1334*g**3 - 1075228*g**2 - 2071144*g + 147952 = 0. Calculate g.\nAnswer: -18494\/23, -2, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 3, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 241306729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17667*g**2 - 6*g - 8814*g**2 - 8867*g**2 + 16*g - 10*g.\nAnswer: -14*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let j(q) = -9*q - 2. Let k(w) = j(w) - 6*r(w). Give k(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2. Let v(j) = -j**3 + 3*j**2 + 4. Let g be v(3). Let r(b) = -2*b - g*b + 4*b - 7*b. Calculate r(t(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7a - 889?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.9 in -6, -41, -92?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2594830 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -0.1, 0.221, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415672?\nAnswer: 2, 3, 7, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -31. Let h(z) = -69*z**2 + 4*z**3 + 17*z + 54*z**s - 14 - 3*z**3. What are the prime factors of h(15)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 53*s**8\/56 + 53*s**4\/12 + 7*s + 3. Find the third derivative of c(o) wrt o.\nAnswer: 6360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*w - 2027 + 2207. Solve -2*k + 5*t = -1, -24*k + 29*k + w*t = 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71920\/21 or 3425?\nAnswer: 71920\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -357 and -716692153.342.\nAnswer: -716692510.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 6)\/(12 + -11). Let d(i) = 2*i**2 + 14*i + 55. Calculate the remainder when d(b) is divided by (3 + 9)*(-1)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-42))**(-39)\/(z**(-2\/5)\/z)**(-4\/3) assuming z is positive.\nAnswer: z**(-25183\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 4*s - 1, -4*s - 1 = -d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 40*f**2 - 3712*f**3 - 3702*f**3 + 11121*f**3 - 3746*f**3 - f**4 = 0.\nAnswer: -40, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x**5 - 7070*x**4 - 94680*x**3 - 360220*x**2 - 335408*x - 62790 = 0 for x.\nAnswer: -7, -5, -1, -1\/4, 897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9904750 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2210024 (base 6) in base 16?\nAnswer: 1ae60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (12686 - 1420 + 40241 + 11539 - 10257 + 25298)*(b - 1 + 1) in the form u + w*b and give w.\nAnswer: 78087","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1. Let h(q) = -q**3 - 4*q + 6. Suppose 10 = -2*l + 3*u + 3, 3*u = 9. Give l*h(j) + 6*g(j).\nAnswer: -j**3 - 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208.778 rounded to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.079 + -1.181. Let t = 28.3899 + -29.643. Let v = t - y. Round v to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 464*a - 1915. Give k(4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516, 788, 1064, 1350, 1652, 1976?\nAnswer: 2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/10 and 53\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyookykyoo. What is prob of sequence oyo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12.2 (b) 1 (c) 0.1 (d) 6\/13 (e) -4 (f) -14.55\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -8905.\nAnswer: -6\/1781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 361494407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 + -72. Let k = w + -24. Let y(d) = d**2 + 2. What is the remainder when k is divided by y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y + 7 + 70 + 62)*(-2*y**3 + y**2 - y**2) to the form b*y**3 + u*y**4 + v + d*y**2 + c*y and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/sqrt(2)*-2*3*-6)\/((sqrt(175) - (((sqrt(175) + (sqrt(175)*2 - sqrt(175)))*-4 - sqrt(175)) + sqrt(175)))*3) + 1.\nAnswer: 4*sqrt(5)\/15 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**3\/2 - a**2\/2 + a. Let v(j) = -j + 1. Calculate -r(q) + 2*v(q).\nAnswer: q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4\/15 + 492*q**3 - 2923776*q**2\/5 + 985540932*q\/5 + 159396752502\/5.\nAnswer: -2*(q - 1269)**3*(q + 117)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2 + 2)*(-3 + 0 + 2 + (-4 + 2 + 0)*(-2 - 4 - 2)).\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2*y**4 + 11\/2*y**2 - 49 + 0*y**3 - 1\/3*y**6 + 0*y**5 - y. Find the second derivative of m(a) wrt a.\nAnswer: -40*a**3 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15990, -15900, -15830, -15846, -16014, -16400, -17070, -18090?\n\"Answer: -11*n**3 + 56*n**2 - n - 16034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3 + 8\/2). Let n be (-115)\/(-15) + v\/3. What is the remainder when 142 is divided by (7 - n)*1*-29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 16 = 12*s. Let d be (2\/s)\/((-1)\/6). Let w(o) = d + 2 - 4*o - 5. Let t(p) = 2*p. What is t(w(r))?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 7:02 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**8\/112 + 2*y**7\/25 + 7*y**6\/200 - 61*y**5\/50 - 16*y**4\/5 - 16*y**3\/5 + 393*y**2. Let l(i) = 0. Calculate i.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 5*h**2 - 5*h - 17. Let t be n(-4). Solve -4*l = -0*o + o + t, -o + 5*l = -26 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 7*m + 7*m)*(9 + 9 + 15)*(4*m - m + 0*m).\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7187102\/231694 - (-4)\/(-202) - 32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 2*w**2 + 3*w + 2. Let t be j(3). Let i(v) be the third derivative of v**t - 7\/24*v**4 + 0 - 1\/60*v**5 + 0*v - v**3. Give i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3\/2 (c) 4\/9 (d) -2 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2 - 2, -4*u - 5*m + 1760 = 0. Let f = 1131284 - 1131254. What is the highest common divisor of u and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -12. Let c = -2 - x. Let q be (2 + -1)*-5*1. Sort q, c, 0.4 in descending order.\nAnswer: c, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 13*x**2 + 13*x - 14. Let h be b(-14). Suppose -3*m + 120 = 4*y, -97 = -3*y - 4*m - h*m. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 3*v - v = -16, -2*q - 3*v = 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.091197 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**3 - 49*p**2 + 4*p - 39. Let v be m(-6). What is the second biggest value in 4\/5, 5, 1, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3075.08971 - 3075. Round o to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 1)\/(4*247\/(-52))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, l: 3, i: 5, n: 1, m: 1}. What is prob of picking 1 m and 1 l?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57\/52 - -1871\/260. Let h = 3867\/4 - 973. Find the common denominator of h and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.0000073 + -36. What is v rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/5 (b) 0.5 (c) 0.090864 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*s - 7 = 45, 3*s = -s for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/4, 0.5, 3, 7, -165809.\nAnswer: -165809, 1\/4, 0.4, 0.5, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**7\/945 + n**6\/54 - n**5\/10 + n**4\/54 + 40*n**3\/27 + 2223*n**2. Suppose o(u) = 0. Calculate u.\nAnswer: -1, 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 16*h**2 + 4*h + 26. Is z(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1296)\/(-100) + -13)\/((-4)\/20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -424818 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63617962?\nAnswer: 2, 269, 118249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 29, 106, 225, 392, 613?\n\"Answer: j**3 + 12*j**2 - 2*j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2793227348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/(459\/(-1290)) + 4\/18. Suppose 12*a - 10*a = i. What is the smallest common multiple of a and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 190 - 107 - (8 + 143)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 92572, 92537, 92502, 92467?\n\"Answer: -35*i + 92607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.741 - -0.259. Sort p, 0, 4.\nAnswer: 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3737912687 and -0.3782.\nAnswer: -0.7519912687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:35 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -16.6. Let m = 1.9 - s. Put -0.3, m, -2 in decreasing order.\nAnswer: m, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 - q**3 + 3*q**2\/2 + 49*q. Suppose 0*f = -5*f - 15. Let i be k(f). Solve 2*z + i = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**3 + 2298*f**2 - 160347*f - 120813660 = 0?\nAnswer: -180, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 144256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017926743422 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*y + 5497 = 343450. Calculate the highest common factor of y and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3144.36 - 0.1?\nAnswer: -3144.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289.6*5.1.\nAnswer: -1476.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6213 = 1680*c - 1353*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35bb45 (base 13) in base 8?\nAnswer: -4711317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iididddiiiddmdizzdd. Give prob of picking 1 d and 2 i.\nAnswer: 63\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) - ((0 + sqrt(405))*-5)**2) + -4 - (sqrt(405) + -1 + sqrt(405))**2*-1*1)*1.\nAnswer: -8508 - 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 4 + 4)\/(-3). Factor a + 3\/7*t**2 + 3\/7*t**3 - 6\/7*t.\nAnswer: 3*t*(t - 1)*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 5*q**2 - 436*q + 150*q + 5*q**2.\nAnswer: -q**2 - 286*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 4. Calculate the smallest common multiple of i and ((-5)\/4)\/((-1)\/8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 56. Solve 2*m - 12 = 4*u, 2*m - 6*m - b*u = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5747, -4945, -4153, -3377, -2623, -1897, -1205, -553?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 g when four letters picked without replacement from {g: 6, y: 3, w: 4}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9276 is divided by 4613.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(756)*-2)\/(sqrt(12)*-3*-3).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 9 + (11 - 23 - 0) + -1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/819 - 353\/819. What is the second biggest value in s, 0.2, 2, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(160) - (sqrt(160)*1 + sqrt(160))*2 - 5*sqrt(160)*-1)\/(2*sqrt(320)*-1 + (sqrt(320) + sqrt(320)*-2*-5 - sqrt(320))).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or 1\/7938?\nAnswer: 1\/7938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 20*k - 17. Let n be g(-8). Let c = -0.1 + 1.1. Is c not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/((7\/(-1))\/(-7)). Let b(y) = 28 + y + s + 37 - 107. What is b(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 156887981 to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1949.58 times 0.06\nAnswer: 116.9748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 7*x - 4. Let s(p) = 2*p. Let k be s(3). Let c be i(k). Suppose 0*m - c = 2*m. Sort 5, m, 2.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211222220211120 + 20?\nAnswer: 211222220211210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/5 - (-3)\/(-15). Suppose -68*j - 79 = 127 - 274. Let f(r) = 8*r**3 + r**2 + r. Let o be f(-1). Put o, y, j in increasing order.\nAnswer: o, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + v - 22 = 0, 4*z + 4*v - 3 = 5*z. Solve 25 = 5*w + 5*h, z = w + 4*h - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6477 or -6315?\nAnswer: -6477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2274238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(21\/(-6)))\/(9 + (3 - 10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17472\/(-91) + 42)*(-3)\/9.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (116\/8 - 4)*2. Let o = c + -15. What is the third derivative of -4*d**2 - o + 5*d**3 + 6 wrt d?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.822183 to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 2*b = 2*d + 98, 96 = 5*d + 4*b. Calculate the least common multiple of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {i: 8, r: 2, x: 7, y: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033 a factor of 896576031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 17\/14 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*(y*y*(y**(-2\/5)\/y)\/y)\/y)\/y)**(-2\/13)\/(y**(2\/5)\/(y\/((y**(-1\/2)*y)\/y)*y)) assuming y is positive.\nAnswer: y**(281\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**13*l)\/((l\/l**(10\/9))\/l))**(-1\/28))**(2\/165) assuming l is positive.\nAnswer: l**(89\/20790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 40 = -0*m. Suppose m*s - s - 460 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 6*k**2 + k + 3. Let d be a(-6). Let w(i) = -491*i + 3. Let y be w(d). Let l be y\/(-2) + 4\/(-2). What is l rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2145 and 275?\nAnswer: 10725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 418 = -6*t + 246. Sort 5, 0, t, -9 in ascending order.\nAnswer: -9, 0, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 34, 45, 52, 55, 54?\n\"Answer: -2*v**2 + 21*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 425*t**2 - 7 + 27 to r + d*t + p*t**2 and give p.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8382196 a multiple of 346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettuttkuutktqk. Give prob of sequence utt.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35130*v**2 - 2008*v + 37979326?\nAnswer: -70260*v - 2008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2059.164kg?\nAnswer: 2.059164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0*g + 0 - 11*g**2 - 5\/24*g**4 + 1\/24*g**6 + 0*g**5 + 0*g**3. Factor v(q).\nAnswer: 5*q*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 h, 1 u, and 1 q when four letters picked without replacement from {t: 3, h: 1, u: 1, s: 3, q: 1, b: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -416262 + 1003393. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(432) + -4 + 3*sqrt(432))**2.\nAnswer: -384*sqrt(3) + 6928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3519 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 3, 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445342 is divided by 445296.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 6. Let v be p(9). Suppose -468 = -3*s + v*w - 6*w, -669 = -4*s + 5*w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let f be q(5). Let y(w) = -w**3 + 4*w**2 + 7*w + 2. Calculate the lowest common multiple of 32 and y(f).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*x, 2*x = 6*o - 3*o + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 1105*i**4\/24 + 2*i**2 + 4. Let k(p) be the second derivative of a(p). Let d be k(-2). Round d to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12.4. Let b = f - 2. Let j = 3\/35 - -43\/315. What is the third smallest value in -1\/5, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12539 - 112403\/9. Let y = 50 - n. Which is the closest to -0.3? (a) 3 (b) y (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3656*u - 78584 = 1984*u for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 9:50 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2 - 35*g - 43. Let m(i) = 6*i**2 + 70*i + 101. Determine 3*m(j) + 7*n(j).\nAnswer: 4*j**2 - 35*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/5 + 3*g**3\/5 - 13*g**2\/5 - 3*g = 0 for g.\nAnswer: -5, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 20 = -7*y. Let m(n) = n**3 + 4*n**2 - 5*n + 3. Let t be m(-5). Find the second derivative of -y*b - 3*b + b - 5*b**2 + t*b wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117127 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 15 + 10\/(-3) + 11\/33. Solve 5*u - 32 = -b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/1007888? (a) -0.02 (b) -2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 509, 502, 491, 476, 457, 434?\n\"Answer: -2*p**2 - p + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 219474*i + 329202.\nAnswer: 2*(i + 54867)*(2*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1253679109?\nAnswer: 19, 3967, 16633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3235*b + 8 = -3233*b, 3*k + 19 + 0 = b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzxhxhzx. Give prob of picking 2 z and 2 h.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34300 + 131?\nAnswer: 34431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 + 0 + (1 - 4))*82. Suppose 0 = 3*x + 1125 - 264. Let i = k - x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 641 = 5*k + 654, 36*k - 2*a - 54 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 0, 0 = 12*d - 15*d + 3*q + 12. Suppose 0 + 1\/3*v**2 + 0*v + 1\/9*v**4 - 4\/9*v**d = 0. What is v?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxxxpbfpxxxppx. Give prob of sequence xb.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + -3 + (-150)\/(-2). Let j = q - 20. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18340 - 18323. Let q = 28 - 18. Let w be q\/(-4) - (2 - 4). Which is the closest to -0.1? (a) i (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-15))\/((-15)\/25).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -356 + 388 + (10 - 5) + 25?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 2:29 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 0*s = 8. Suppose -14 - 10 = s*b. Let g be (3\/(-9))\/(1\/b). Solve -g*h + 3*h + 5 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51531, 412112, 1390827, 3296742, 6438923, 11126436?\nAnswer: 17668347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690433.01ns in weeks?\nAnswer: 0.000000002795028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 405 - 280. Suppose -129*t = -v*t - 1292. What are the prime factors of t?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 16*m**2 + 10*m + 10. Let o(q) = 19*q**2 + 11*q + 10. Let s(n) = 5*o(n) - 6*v(n). Let r(a) = 3*a**2 + 14*a + 29. Give -6*r(w) - 17*s(w).\nAnswer: -w**2 + w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 7 + 3)*(4*p - 4*p - 2*p)*(2*p**3 + 4 - 2 + 4*p**3) as t + f*p**2 + m*p**3 + a*p**4 + x*p and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368658 divided by 6.\nAnswer: -61443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 6 = 4*u. Let t(b) = 139*b**2 - 5*b - 71*b**2 - 67*b**2. Calculate t(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 1\/4*b**4 - 116\/5*b**5 - 136 + 0*b**2 - 37\/3*b**3 + 0*b. Find the third derivative of g(p) wrt p.\nAnswer: -2784*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**3 + x**2 - x + 1. Let y be u(1). Suppose -y*b + 4*b = 0. Round b to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**4\/l)**1*(l**6)**21)**18 assuming l is positive.\nAnswer: l**2322","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 30 + 3 - -41) + 24.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 611 + 587. What is the tens digit of 786\/(-12)*m\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, a: 5, v: 8, g: 1, o: 3}. What is prob of picking 1 g and 2 y?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/11, -0.24, 3, 1\/6 in increasing order.\nAnswer: -10\/11, -0.24, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18915 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -119130587 + -5?\nAnswer: -119130592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 729 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3785 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 7:10 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/((-561)\/(-272)) - (-4)\/6. Put -3, 3, b, 4 in decreasing order.\nAnswer: b, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*q = 9, -4*i - 13 = -3*q - 25. Determine d so that 7*d + 3*d**3 + d**3 - 2*d**4 + 8*d**2 - 4*d**3 + 4*d**i - 23*d = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 4 + 302*f + 28 - 580*f**2.\nAnswer: -580*f**2 + 302*f + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -14*g**2 - 281*g - 47. Let l be s(-20). Sort l, -2\/5, -0.1 in decreasing order.\nAnswer: -0.1, -2\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/6889307 and -49\/376.\nAnswer: 55114456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.107744 - 0.1169. What is m rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20583.436 - 20480. Let b = k - 103. Let i = b + -0.5. Round i to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7945290, 15890585, 23835880, 31781175, 39726470?\nAnswer: 47671765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1719*s + 14*s**2 + 3*s**3 - 1738*s + 193*s**2 + 3 + 3456*s in the form x*s**3 + n*s**2 + j + r*s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380888 is divided by 53745?\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 18*l**2 + 39*l - 17. Let d be b(-20). Suppose -d*o - 17 = -20. Let t = 0.11 - 0.91. Put t, o, -2\/13 in increasing order.\nAnswer: t, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/266 and 43\/6?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-5 - -12) + 324\/24*78 and 130?\nAnswer: 13780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19056488 by -11.\nAnswer: -1732408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22413 (base 5) to base 11.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 0*u = -u - 7, 3*u = -3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**12\/h)\/h*h*(h*h**29\/h)\/h)**(-15))**(2\/157))**(-2\/143) assuming h is positive.\nAnswer: h**(180\/1727)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108639 + -835542548\/7691. Let n = b - 238451\/230730. Find the common denominator of 17\/6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -14, -3, 10, 25, 42, 61?\n\"Answer: h**2 + 6*h - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1712) + 3 + 0. Let f = -804 - g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a - 7. Let d be g(7). Let o be -4*(-4)\/(-16)*-1. Solve o - d = 3*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40035956 divided by 4.\nAnswer: -10008989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25090300 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 17*o\/3 + 38\/3.\nAnswer: -(o - 2)*(o + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 + 6 = 0, -a + 2*v = -8. Suppose 3*f - 15 = 3*b, f - b = -a*f + 13. Suppose 3*o - f = o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 - v. Let y(o) = -43*o**3 - 4*o**2 + 3*o + 1. Let a(k) = -6*w(k) - 2*y(k). What is the third derivative of a(t) wrt t?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {e: 3, z: 6, b: 6, f: 1, x: 2}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 0*1\/2. Suppose -k*h = -0*h - 18. Is h + 2 - 0\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r + i = 808, 5*r = 5*i + 2020. What are the prime factors of r?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1444260492?\nAnswer: 2, 3, 40118347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 9:52 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 131*q - 136*q, -l + 48832 = -q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-124)\/465)\/(-12*2\/10)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2 - 23*r + 42. Suppose p - 5*k - 51 = -2*p, 3 = p + 3*k. Does 6 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 259416*j**4*r**3 - 3*j*r**3 - 2846*r**3 + r**2 + 37 wrt j?\nAnswer: 1037664*j**3*r**3 - 3*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142368154, -284736317, -427104482, -569472649, -711840818?\nAnswer: -854208989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717645 divided by -239215.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/2 - 57*b**2 + 495*b\/2.\nAnswer: 3*b*(b - 33)*(b - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/29)\/(x**(-2\/17)*x*x)*(x*x**(2\/13)\/x)**35 assuming x is positive.\nAnswer: x**(22888\/6409)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 103*q + 1146. Let v be b(-11). Solve -3*k - v = i, k = -i + 28 - 33 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/477804 and 77\/4140968?\nAnswer: 12422904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.07431 centuries to years.\nAnswer: 8607.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 14 = -5*b, -6*c - 94389 = -5*b - 94402 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 140 = -3*a + 2*a, 0 = -2*f - 2*a + 70. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -8, 1.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*r**5 + 53*r**2 - 408*r.\nAnswer: 40*r**3 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fal when three letters picked without replacement from laacafleccalclcc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -6*f - 4*c, -3*f + 4*c = 180 - 157 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2991 - -4648.126.\nAnswer: 1657.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 10. Let f be (4\/(-5))\/((-6)\/p). Let j(k) = k**2 + 4*k - 3. Let h be j(-4). Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)\/(12\/(-24))*-10. Suppose l = 8*x - 12. Solve a = -5*n - 29, 3*n + 1 = x*a + 2 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140990 + -1?\nAnswer: -140991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11405\/6446 - 39\/22. Let f = x + -2635\/586. Which is the nearest to 1\/2? (a) f (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + 3*sqrt(5)*-6 + (4*sqrt(55))\/sqrt(11))*-1.\nAnswer: -6 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 348*q**2 + 29916 - 29916 + (0*q + q - 3*q)*(-2*q - 2*q + 5*q) - q**2 + 32*q - 5 + 33*q - 69*q in the form y*q**2 + p*q + c and give y.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -424, -125, 460, 1427, 2872?\nAnswer: 4891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000042178 rounded to 7 dps?\nAnswer: -0.0000422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 3, o: 1, h: 11}. What is prob of picking 2 h and 2 n?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 878679140 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22012 (base 3) in base 11?\nAnswer: -191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 - 2*n**3 + 63 - 63. Let d(p) = -p**2 - 3*p + 12. Let q = 49 - 54. Let t be d(q). Let f(k) = -2*k**3 - 3*k**2. Determine t*f(h) - 3*s(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9454, 19547, 29652, 39775, 49922, 60099?\nAnswer: 70312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*2\/4)\/(6*2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*(-1 + sqrt(13))*-2)**2.\nAnswer: -200*sqrt(13) + 1401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -22 - ((0 - (1 - 1)) + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, r: 8, i: 1, k: 2}. Give prob of picking 2 r.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 5:02 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 179.3611199.\nAnswer: 179.2611199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*r**2 - 21*r**3 + 161*r**2 + r in the form m*r + w*r**3 + z*r**2 + o and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 minutes before 1:34 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 5. Let o = -4 + x. Is o greater than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 23. Let b = o - 75. Solve 6 - b = l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p = 3. Factor -6*q**3 + 6*q - 2*q**4 + 3 - p + 4 + 0*q - 2*q**2.\nAnswer: -2*(q - 1)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -112. Let n(j) = 5*j**2 + j + 2 - 5*j**3 + 4 + y*j**3 - j**3. Let q be n(5). Calculate the highest common factor of 22 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1294735 and 14.\nAnswer: 14.1294735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 13. Let m be j(5). Suppose m*g + 2 = -22. Is -9 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 205921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -1, -2\/9, 10, 716.12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 8465367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:35 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 108468 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: Suppose -5*l + 22 = -158. Let k = 468 - 414. What is the highest common divisor of l and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-2) - 9\/(-6). Suppose 4*h + 4*b = 4, -n*h + 3*h + 3*b = 3. Sort h, -5, -1 in descending order.\nAnswer: h, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, y: 2, b: 4, e: 2}. What is prob of sequence yvv?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 5)*(-5*o - 3*o + 0*o)*(2*o - 4*o + 0*o)*(17 - 17 + 8*o)*(-6*o - 2*o + 0*o).\nAnswer: -4096*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 56 = -4*q, g - 5*q + 118 = 5*g. Calculate the greatest common factor of 440 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3100448621?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 87?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 425222.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + (1 - 1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4*(sqrt(132) - -2*sqrt(132)) + sqrt(132) - (sqrt(132) + (-4*sqrt(132)*-1 - sqrt(132)) + sqrt(132)))\/(-3*sqrt(24)\/sqrt(2)*3)*6.\nAnswer: 3 + 32*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 439 + -93. Let n = -344 + k. Let -6\/5 + 1\/5*b**n + 11\/10*b - 1\/10*b**3 = 0. What is b?\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1486822116 to the power of 1\/2, to the nearest integer?\nAnswer: 38559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 213 + -213. Let g = -20 - -17. Which is the nearest to u? (a) 5 (b) -5\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.34 in 2\/11, -0.5, 0.2, 0.05?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.28012 decades to centuries.\nAnswer: 7.928012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1 + (4 - 3 + 0)*(-1 - 2 + 2))*(491082 - 491082 + 5135*b) as o + i*b and give i.\nAnswer: -15405","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397553267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -124*u + 128*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 1 + 1)*(0 + 0 + 4) - 8*d - 9*d - 4*d.\nAnswer: -17*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 11)*(3 + 3*m - 1 - 5*m) - 5*m + 4*m - m.\nAnswer: 22*m - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 - (90 + -98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2728039.\nAnswer: -4\/2728039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65973?\nAnswer: 3, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24010811 a multiple of 1383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 324 = -g, -4*w - 2*g - 983 = 311. Let q = 150 - 156. Let d be q\/8 + w\/(-4). What is the greatest common divisor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/40 and 69\/292.\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2\/4 - 253207*t\/4 + 15714210 = 0.\nAnswer: -253455, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 3*l**4\/16 - 7*l**3\/8 + 3*l**2\/4 - 10*l. Factor d(z).\nAnswer: 3*(z - 2)*(3*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22692 + -22692.12. Put -4, p, -13, 0.05, 0 in decreasing order.\nAnswer: 0.05, 0, p, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 1 s when three letters picked without replacement from {c: 2, s: 1, j: 6, l: 1, d: 3}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21676 * 0.5632\nAnswer: 12207.9232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2360, 2364, 2370, 2378?\n\"Answer: x**2 + x + 2358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-5) - (-348)\/60. Suppose h*f - 10 = f. Suppose -2*i + i + 1 = 2*w, 0 = 2*w - f*i + 2. Let u(q) = q - 11. What is u(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5322773837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/67 + 63\/134. Let p = -36899329024\/3707 + 9953960. Let k = p - 2\/337. Is k < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3404114 (base 6) in base 5?\nAnswer: -21000412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 25*f - 22. Let g be p(24). Let v(i) be the first derivative of -1\/5*i**g - 4\/5*i + 4\/15*i**3 + 1\/10*i**4 + 4. Factor v(c).\nAnswer: 2*(c - 1)*(c + 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2353\/(-362)*4\/(-6)*-3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + x + 40. Let p be t(0). Let l be (1 + 2)\/(12\/p). Which is smaller: l or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 15 - 11 = 0. Suppose 3*j - n - 4 = 0. Suppose 0 = j*t + 3*w + 2, -t + 9 = -w - 0*w. Put t, 2, -8 in descending order.\nAnswer: t, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12584 and 78?\nAnswer: 37752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -7291c?\nAnswer: -7291b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -1\/5 (c) 3\/8 (d) -2 (e) 2 (f) 0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -129, -195?\n\"Answer: -66*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 2*y**2 - 38*y + 11. Give o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 139315 and 2980.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 5. Determine b(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(13) + -1 + sqrt(1573))**2 + 5 + (sqrt(13) - (sqrt(325))**2))*-5 + -4.\nAnswer: -7765 + 115*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + 243. What is the derivative of -536*h**4 + q + 1042*h**4 - 526*h**4 wrt h?\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of 0*f**2 + 3 + 0*f**5 + 0*f**4 + 1\/3*f**6 + 0*f - 2\/3*f**3. What is the third derivative of q(u) wrt u?\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -5.2. Let n = p + 4.925. Let v = n + 5.375. Round v to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 735 - 5783\/8. Calculate the common denominator of (1 + 8)\/(25\/(-3)) and z.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -25354, -1, -17, -51 in descending order.\nAnswer: 4, -1, -2, -17, -51, -25354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:16 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8, -2*h - 4*i - 98996 = -0*h. Let d be (12332\/(-6))\/((-4)\/h). Let s = d - -4437833. What is s rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2460766 + -5?\nAnswer: 2460761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5545 + -6195. What is the nearest to b in -3, 2\/11, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 585 + -24. Let o = x + -331. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**11*f)\/(f*f*f**(1\/10)*f)*((f*f*f*f\/f**1*f)\/f)**(-3\/19) assuming f is positive.\nAnswer: f**(1601\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, t: 1, o: 3, a: 1, p: 2, i: 3}. What is prob of sequence fi?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.07 + -3.41. Let o = t + 1.84. Let m = 0.06 - 0.46. Which is the third biggest value? (a) 4 (b) 0.5 (c) o (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262101930 divided by -5\nAnswer: 52420386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = 19. Let r be l\/6*18\/14. Let s = -4 - -3. What is the closest to s in 1.1, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/5, 0.2, 196.253, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**4\/9 + 248*c**3\/9 - 934*c**2\/3 + 13640*c\/9 - 24200\/9.\nAnswer: -2*(c - 10)**2*(2*c - 11)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 6*r - 9. Let m be n(-2). Put 3, -13, m in ascending order.\nAnswer: -13, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 divided by 34.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)*8*(-6)\/(-216)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 - 31 = -2*k. Let u be 402\/15 + k\/5. Calculate the greatest common divisor of u and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 19*m**2. Let v be -57*(2 + (-3 - -2)). Calculate the remainder when (-6)\/(-2) + -4 - v is divided by p(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 times -3?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 274089764 divided by 40468?\nAnswer: 6773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 10 = -3*y - 2*y, 5*w + y - 21 = 0. Let b(z) = -2*z**3 - 4*z**2 - 2*z + 6. Let q(h) = h**3 - h - 1. Let u(o) = b(o) + 3*q(o). Give u(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 0*g + g - g - 1 + 2*g. Let t be a(1). Suppose -5*b + 65 = -q, 4*q = -t*b + 26 + 22. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1*k)\/(k*k**(-4))*(k**(-1)\/k*k*k)**(1\/15) assuming k is positive.\nAnswer: k**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.29 - -10. Let p = o + -0.11. Let g = 0.05 + -3.05. What is the nearest to g in 1\/6, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**4\/12 - s**3\/3 - 8*s**2. Let j = 0 + 3. Give r(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -11. Let a = d + 8. What is the derivative of -b**2 - b**a + b**2 + 4 wrt b?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 47164.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k + 21 = -3*t - 49*k, 2*t = 3*k + 21 - 38 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 6.8106114 microseconds?\nAnswer: 0.0000000018918365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 3*b**4 - 285*b - 6*b**3 + 569*b - 278*b.\nAnswer: -3*b*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, -1193, -68 in ascending order.\nAnswer: -1193, -68, -2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24671460 and 990.\nAnswer: 74014380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 220*r**2 - 25*r**3 - 198*r**2 + 6 - 2*r - 4 - 3 as v + t*r + q*r**2 + k*r**3 and give k.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72698645?\nAnswer: 5, 14539729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 23 + -36 - (-28 - -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of t**5\/10 + 3*t**4\/4 + t**3\/2 + 3*t**2\/2 + 14*t. Let w be k(4). Let n = w - -36. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 6450?\nAnswer: 6454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/4, 30, 4, 3\/2 in increasing order.\nAnswer: -5, -1\/4, 3\/2, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q**3 - 1453*q**2 + 6980*q - 4397. Give k(-368).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118 + 63 - -50 - (14 + -2 - -1)) + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2. Let t(u) = -88*u**2 - 99 + 47 - 79*u**2 + 52. Give i(t(m)).\nAnswer: 55778*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3763063, -3763123, -3763183, -3763243, -3763303?\nAnswer: -3763363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**7\/630 + j**6\/90 - 4*j**3\/3 + 21*j. Let m(l) be the second derivative of b(l). What is h in m(h) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102859651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/144*(-6 - 0). Let u = -0.01 + -1.99. Which is the nearest to n? (a) u (b) 3 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1542 is divided by 391?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -32, -53, -78, -107, -140, -177?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/((6\/7)\/(-3)). Suppose 0 = -5*n - 40 + a. Let z(x) = -2*x + 28. Calculate the remainder when z(n) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**2 - 3*g**2 + 98*g**2 + 331*g**2 to x + b*g**2 + l*g and give b.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34579798 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 8:07 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/1125, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from bfbbhffbh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(80) + -3)*3.\nAnswer: -12*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4 = -3*v - d, 0 = -v - d + 4. Let j(n) = n**3 - 14. Give j(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11708357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 4*m**2 + 5*m + 6. Let t be a(-3). Let q(l) be the second derivative of 0*l**2 + t + 1\/6*l**3 + 2*l. Let n(b) = 4*b. Determine q(n(i)).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2\/((l*l**(-2\/3)\/l)\/l)*((l**(-2\/3)\/l*l)\/l)**39 assuming l is positive.\nAnswer: l**(-184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3325 minus -0.2?\nAnswer: -3324.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11183 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s - 10. Let y = -9 + s. Let p be (-39)\/y + 2\/(-4). Solve -4*d = p*u - 2*u + 8, -3*u + 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1616 = -2*r - 2*t, -4*r + 2*r + 2*t = -1608. Suppose -r - 2 = -4*z. Suppose 0*a + z = 4*f - 5*a, a + 51 = f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + y**2 - y**2 + 149 - y**2 - 276 in the form p + q*y + f*y**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(-104)*3\/(-3) - (-372)\/(-32)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 956400 and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - t**2)*(4*t**2 - 5*t**2 + 2*t**2) + 4*t**4 + 5*t - 5*t + 2*t**4 + t**4 + t**4.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 7*z**2 - 10*z - 11. Let h be f(-8). Let d = h - -1. Let i = 8 - d. What is the smallest common multiple of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321889643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*(-69)\/(-115)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10755970 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 795, 469, -31, -669, -1409, -2215?\n\"Answer: 6*n**3 - 123*n**2 + n + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + y - 5*g - 15 = 0, 0 = 4*y + 2*g + 6. Let i(u) = -5*u - 5 + 5 - 2 - u**2 + 0*u**2. Let t be i(-3). Solve y*w + w + t = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2 + 34*k + 18. What is h(11)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of 0*g - 1\/120*g**5 + 1\/24*g**4 + 1\/6*g**3 + 2*g**2 + 0. Let c(o) be the first derivative of x(o). Differentiate c(f) wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 22*q - 55. Let s be j(19). Suppose 0 = -x - 0*x + 3. Suppose 6 = 5*z - x*z. Solve -z*b = r - s + 11, -r + 9 = -3*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20572\/9 + 2286. What is the nearest to 0.1 in -2\/7, -1\/24, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8713 - 8715. Sort t, 5, -88 in ascending order.\nAnswer: -88, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2652*g**3 - 374*g**2 - 374. Let t(d) = -d**3 - 2*d**2 - 2. Calculate 374*t(r) - 2*v(r).\nAnswer: 4930*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*w, 0 = -3*k + k - 3*k + w + 5 - 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -170, 557, 1274, 1981, 2678, 3365?\nAnswer: 4042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -27. Suppose -b*x = 5*i - 10739, -i + 4*x = 4*i - 10753. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2063*c. Let y(v) = 3*v**2. Determine y(m(p)).\nAnswer: 12767907*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-35 - -39 - (14 + -2)) + -4 + 16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 463749 and 3696?\nAnswer: 51939888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 9:19 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.3? (a) -2\/7 (b) -0.2 (c) 0.316 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27500 = 968*w - 7654*w - 8239 - 17749 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 28*n**2 - 12*n - 10. Let l(o) = 4*o**2 + 2*o + 1. What is b(v) + 7*l(v)?\nAnswer: 56*v**2 + 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.05 (b) 0 (c) 2\/11 (d) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1017\/5005 - 14130\/17017. Let t = -1\/85 - n. Suppose 2\/13*c**2 - t*c + 0 = 0. Calculate c.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 32433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3629 - 3764 = 614*a + 3467 + 3262 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.11 - -0.07. Let x = -0.18000072 + j. Round x to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 25 - 10. Let u(d) = -1058*d - 65. Is u(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 205523\/28 - 7343. Let k = 1804\/5 - 355. What is the common denominator of k and b?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/5)\/x)\/x)\/(x**(3\/4)\/x))\/((x**3*x)\/(x**(-3)*x))*((x**(-4)*x)\/x**(-1\/8))**38 assuming x is positive.\nAnswer: x**(-586\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ttllllllclllmhchm.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 8*l + 21 - 94, 2*l - 21 = 3*y. Solve l = -3*j + m - 11, 3*j + 5 = -2*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 6061 + 6065. Let y = -34\/245 - 3\/49. Which is the closest to x? (a) 9\/2 (b) y (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*l, d + l = 5*l - 6. Suppose -d*r + 4*w - 4 = 0, r - 6 = -4*r + 2*w. Factor -1\/5*c + 2\/5 - 1\/5*c**r.\nAnswer: -(c - 1)*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t + 18. What are the prime factors of j(-15)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 7. Let t be 6\/(11\/(-4) + 2). What is the units digit of c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (0 - 1 - -2))*-1. Let t(x) be the third derivative of 1\/120*x**6 + 3*x**2 - 1\/20*x**y + 0 + 0*x + 2\/3*x**3 - 1\/6*x**4. What is t(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + -2*(sqrt(2299)*2 + sqrt(2299)))*1.\nAnswer: -55*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -92. Find the second derivative of 253*y**2 - 119*y**2 + p + 6*y - 108*y**2 - 5 wrt y.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 6*h + 4. Determine j(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 27*y + 3872 = 0. What is the greatest common factor of y and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -167*w**6\/30 - w**4\/6 - 17*w**3\/6 - 354*w. Find the third derivative of q(o) wrt o.\nAnswer: -4008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(30)\/(-2*sqrt(10)*-1).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*n = -160*n + 6. Let i = -0.4 - -0.4. Which is the smallest value? (a) 15 (b) i (c) n (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7*w + t = 14, -3*w + 34 = -5*t. Let n(m) = 5*m - 32. Let v be n(w). Solve -2*b + 2*i - i + v = 0, -22 = -3*b + 4*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 3, 2.\nAnswer: -15, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18365435 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 + -0.85?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2*w**2 - 2*w**2)*(w**3 + 280*w + 283*w + 20 - 565*w - 2*w**3 + 3*w - 3*w + (-5*w + 0 + 0)*(-w**2 + 0*w**2 + 3*w**2)).\nAnswer: -22*w**5 - 4*w**3 + 40*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, j: 4, l: 11, e: 1}. What is prob of picking 3 l?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 843671.7 centuries?\nAnswer: 84367.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/33120 and 59\/17825.\nAnswer: 5133600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/198 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p. Let h(r) = 2*r**2 + r - 8. Let s be h(6). Let k be 1\/(-2) + s\/4. Let w(j) = -3*j - 17 + 5*j + k. What is w(u(v))?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3028, 8922, 17678, 29296, 43776?\nAnswer: 61118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 1. Let o(t) = 23*t - 8. Let u(a) = -a**2 + 3*a + 29. Let q be u(-4). Let b(f) = q*o(f) + 6*z(f). Differentiate b(c) with respect to c.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 9. What is the units digit of n\/8 - (-215)\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 9, c: 4, b: 1}. Give prob of picking 1 t and 3 c.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 205*x**2 - 744*x + 442. Give m(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*o - 3047 = 0, -2*o = -57 + 55. What are the prime factors of b?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/((-15)\/(-18)))\/((-8)\/60). Let q(z) = -z**3 - 7*z**2 + 7*z - 1. Let i be q(-8). Let y(o) = -5 - i*o + 4*o - 4 - 4. What is y(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*j + 3*n - 20, j - 2*n - 18 = 0. What is the derivative of 24 - j - 2*h**4 + 15*h**4 wrt h?\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118888799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 9 = 18. Is -5 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*j**2*l*o*p + 6*j**2*l - 2*j**2*o*p**3 - 6*j*l*o + 2*j*l*p**3 + 2*j*o*p - 2*j*p + 8*l*o*p**3 wrt j.\nAnswer: 26*l*o*p + 12*l - 4*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.1031 + -14.1. Round o to 4 decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2981.44886 to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 560 = -28*i. Calculate the common denominator of -4\/5 and 6 + (0 - 2499\/i).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k**2 + 39*k - 39*k. Let y be ((-4)\/(-10))\/(2\/10). Let u(w) = -y*w + 5*w - w. Determine u(b(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13033222 (base 5) in base 13?\nAnswer: 45c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -732 >= -735?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2020452838 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 157883860639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -137*s**2 + 829*s - 11. What is h(6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4 = 2*s, 2*y + y + 5 = -4*s. Solve 0*z = z + s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 4. Let q = 66 - 45. Let p = q - 19. What is the closest to 1\/4 in p, u, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1314 + -917. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14921, 14904, 14885, 14864?\nAnswer: 14841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 360 + 250. Let v = 224 - 220. Calculate the remainder when s is divided by (-6)\/v*(-1600)\/96.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0571 + -34980673002.\nAnswer: -34980673002.0571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -210, -14, 0.44, -5?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, -3, -39, 19, 15, 2.\nAnswer: -39, -9, -3, 1, 2, 15, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by 73.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5)\/z)\/((z**7\/z)\/z*z))\/(z*z*z*z**(1\/6)*z*z*z\/(z*z**(6\/13)*z)*z) assuming z is positive.\nAnswer: z**(-1225\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q = -47*q + 90. Factor 2\/9*r**q - 2\/9*r**2 + 2\/9 - 2\/9*r.\nAnswer: 2*(r - 1)**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 4*f + 20, 2*j - 2 = -f + 23. Suppose -4*t - j = -9*t. Suppose -4*l - 3 = 5*m, 0 = -3*m + 2 - 11. Solve 3*d = t*c + l*c + 2, 5*d - 16 = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -16*b**2 + 367*b + 35. Let f be a(23). What is the highest common divisor of 27 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, s: 1}. What is prob of picking 4 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 4848.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 31 + 4 = 0. Let w(y) = 2*y**2 + 11*y - 13. Let b be w(j). Calculate the highest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 1128 = n. Let z = 120 + n. Is -3 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58983819.\nAnswer: 3, 19661273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -3518903484\nAnswer: 3518903489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 1961?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 924*f + 138954. What is v(-189)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 63 = -4*h + b, -h - 5*b = -57 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2592)*-2*-3*6 + ((2 + sqrt(4)\/sqrt(2) + -1*sqrt(2) + 4)**2 - sqrt(864)\/sqrt(3)).\nAnswer: 36 + 1284*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12 + 0 - -63 - -1. Calculate the greatest common factor of 44 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 15*t - 11 = -y + 14, 44*t = -3*y + 20*t - 33 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*1\/(2\/5). Suppose -g + 2 = -10. Suppose -w*n + 3*i + g = 0, 16 = 3*n + 2*i + 5. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exfubxr. What is prob of picking 1 x and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39020411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Suppose c + 18090 = l*c. Suppose c = -p - 6870. Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -x - 2. Suppose x*s + 2*o = -o + 3, -4*o = 8. Let j be (8\/(-60))\/(1\/(-3)). Which is the biggest value? (a) j (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1587 or -93660\/59?\nAnswer: -1587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1899 + 1911. Suppose -6*m = 5*r - 4*m - 15, 0 = 4*r + 2*m - 12. Is z\/4 + 6 + r a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyytyyyyyttyyyyyyt. What is prob of sequence yy?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f**2 + 8*f - 53. Let g(t) = 3*t**2 + 3*t - 17. Let s(l) = 7*g(l) - 2*p(l). Let j be s(2). Is 14\/13 >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2319 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4464 (base 7) to base 11\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (0 + -8 - (22 + -2 + 1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352424.\nAnswer: 2, 3, 37, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334*u - 653*u + 405 = 636*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 302*c**2 + 309*c**2 + 16*c**2 + 5*c**3 - 627*c**2.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38437 and 1198862?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-2))\/((-11)\/(132\/(-36)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 947522, 947530, 947542, 947558, 947578, 947602, 947630?\n\"Answer: 2*u**2 + 2*u + 947518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355 + 11246 = 561*r + 820 for r.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010000100 - 100001001000?\nAnswer: -111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1250618 * -0.04.\nAnswer: 50024.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 10*p**2 - 10*p + 15. Let s be n(9). Suppose -6*d - 5*c + s = -4*d, 46 = 5*d - 3*c. Suppose -2*o + 2 = -d, -2*t + 2*o = -412. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 18 = 5*n - 4*r, -22 = -3*n + 4*r. Suppose 0*v + 3*v = p + 11, 11 = n*v + 3*p. What is the least common multiple of v and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 3*a**2 + 19*a - 4. Let u be s(6). Let f(d) = 182*d**u + 178*d**2 - 358*d**2. Let b(l) = -138*l. Give b(f(q)).\nAnswer: -276*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.184596696 - 9.184596606. Let i = -8 - q. Round i to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**4 + 2*j**3 + 12*j**2 - 2.\nAnswer: 192*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 16, -96*b = -101*b + 3*c + 1128. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 11*c + 14. Let f be k(12). Suppose 2 = 4*s - f. What is the derivative of -s - g + 0 - 2 wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 634 = 2*a - 490. Suppose a + 426 = 4*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/404804 and -77\/2952.\nAnswer: 298745352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sr when two letters picked without replacement from {s: 5, r: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4 - 95*y + 99*y + y**2 - 2*y**2. Determine a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7489921*d**2 - 2990864?\nAnswer: 14979842*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 525009\/2 - 59850281\/228. Let d be 4\/2 + (-115)\/57. Let r = t + d. Find the common denominator of r and -35\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 at most as big as -265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.091 in -0.2, 5, 9871\/183?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14731 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 837 + -597. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159664699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 27991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-44)*(-3729)\/(-226)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8143, -8140, -8137, -8134?\n\"Answer: 3*z - 8146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 - 5*v + 6. Suppose 0 = -5*o + 4*r + 8, 6 = -0*o + o - 3*r. Suppose o*s = -s - 6. Let f = -11 - s. Determine y(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 914036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/3 (b) -3 (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 31 = -5*h, 0 = a - 2*h - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.192, 1.011?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*-3*(-4)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -285*r - 70338. Determine h(-247).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-18)\/(-8)))\/((-88)\/66)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 932 - 649. Suppose -5*j + h = -162. Suppose 8*b - j = 7*b. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*w - 3*v - 18, 2*v + 4 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2916939*j**3 + 685*j - 189 wrt j.\nAnswer: 17501634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 6:15 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*((-160)\/576)\/((-20)\/(-12))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/23836 and 115\/12.\nAnswer: 71508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 0. Let t = m + 0. Let j = t - 1. Which is smaller: j or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -32 - (-2 + -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3634 + 3636 + 0 + 1 + 63 + -1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -475193\/179 + 2655. Let n = h - -8199\/1969. Calculate the common denominator of n and 48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ac when two letters picked without replacement from cpcporprroaac.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3421669 or 3421700?\nAnswer: 3421669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/((s*s**(-2)\/s*s)\/s))\/s)**43*(s*((s**2*s)\/s)\/s*s)**45)**26)**(8\/3) assuming s is positive.\nAnswer: s**18304","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 484.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019606 is divided by 101960.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 9*q**2 - 2*q**3 + 3 - 6 + 0 + q**3 + 9*q + 6. Let i(l) = l**2 + 2*l + 7. Let b be i(-3). Calculate s(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -1.92629421?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-594940)\/(-305624) + 1\/(1\/(-8)) - -6. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -0.03 (b) -0.1 (c) -35\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150347224 and 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 396, 2266, 5660, 10626, 17212, 25466?\n\"Answer: 8*a**3 + 714*a**2 - 328*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1865 + 3773. Suppose -555*r + p = -549*r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (14 + 25 + -38)) + 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -16*q**2 + 14*q**2 + 5 - 4*q - 7. Suppose -1 - 5 = 2*f. Let u be c(f). Sort -2, u, 0 in decreasing order.\nAnswer: 0, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 5*o**2\/2 - 1. Let c be q(1). Suppose -c*t = -76 - 64. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, -5, 5 in increasing order.\nAnswer: -5, -3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 - 1) - (-3 - (-5 - -5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -16040, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 136*w + 234. Let y be h(13). Find the common denominator of (-6888)\/y - 4\/(-52) and 65\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 8:20 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 19*r**3\/3 - r**2\/2 - 4*r. What is the remainder when z(3) is divided by (70 + 85)*3\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 4 - 3)*(-2*c - c + 5*c) - 4*c + 5*c + 2*c)*(0 + c + 0) as x*c**2 + a*c + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/520513 and 41\/269376.\nAnswer: 99938496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -128*b**2 - 119*b**2 + 230*b**2 + (-2 - 1 + 4)*(b**2 + 4*b**2 - 3*b**2).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 + 54\/(-10). Let a(o) = 4 + o**3 - 8*o**2 + 2*o**3 + 3*o**2 - 4*o**3. What is the units digit of a(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v - 5*v)*(3 + 0 + 4) + (3*v - 4*v + 2*v)*(2 + 1 - 1).\nAnswer: -33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27518, -27481, -27440, -27395, -27346?\n\"Answer: 2*x**2 + 31*x - 27551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*t + 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*s - 273 + 95 = 0, d - 5*s = 86. What is the remainder when d is divided by 2 + (-15)\/((-1)\/1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.4, -0.4, 4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -80. What is the closest to -2 in 2\/9, 5\/2, u, 4\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -59. 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: Let f = 32 - 3. Let u = 3 - f. Let j = u - -47. What is the remainder when j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 449 = z, m - 5*m + 5*z + 469 = 0. List the prime factors of m.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5 - 15759*l**4 - 110358*l**3 - 63076*l**2 + 189192*l = 0.\nAnswer: -6, -2, 0, 1, 15766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjmjjttmmjtjjjmjt.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*d + 361*d**2 - 2201*d**2 + 159*d.\nAnswer: -1840*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-10)*85\/34\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -265*a + 2962. Determine y(10).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -0.092, 0.3, -52\/9, 432?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 3:00 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvhzrhhtzrrevzhhr. Give prob of picking 3 h.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.5 + -1. Let z = -0.3 + p. Let y = 0.1 - z. Put 2\/15, y, 4\/5 in increasing order.\nAnswer: y, 2\/15, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -95*f**3 + 24*f + 23. Give n(-1).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037500 to the power of 1\/2, to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/(2\/(-26478)) + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/19, -3, -470379, -4, 1, 0.1.\nAnswer: -470379, -4, -3, -4\/19, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24299 + 33278. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/4*(-756)\/1323)\/(2\/21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*v - 65*v - 157*v.\nAnswer: -335*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2. Let j(m) = -23977418*m. Calculate p(j(d)).\nAnswer: -1724749721840172*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g - 4 = 0. Let l = 4 - g. Suppose 112 = 7*q - 3*q + 5*b, 56 = 2*q - l*b. Is 14 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5719 and 9.\nAnswer: 51471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11111148 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4 = -m. Suppose -f + m*d + 64 = 0, -3*f - 38 = -d - 220. Suppose f = 6*b - b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 10*v + 6. Let w(c) = -c**3 - 6*c**2 + 7*c - 10. Let j be w(-7). Let n be p(j). Does 7 divide n\/9 - 80\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206*b**3*o**2*z**2 + 374049*b**3*o**2 + b**2*o*z**2 + 6*b**2*o - 3*b**2*z**2 - 2*b**2 + 25*b*o**2 - 217*b*o + 4*b*z wrt b?\nAnswer: 1236*o**2*z**2 + 2244294*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -265.\nAnswer: -26\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/70)\/(1\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19898782 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: Let -11*t**2\/2 - 12*t - 2 = 0. What is t?\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = 2*z, 3 = 3*z + f - 4. Let j(r) be the first derivative of -1 + 1\/4*r**4 - r**2 + 0*r + 0*r**z. What is the second derivative of j(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 910.0683s?\nAnswer: 910068300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 150.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162266613.\nAnswer: 19, 23, 367, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(156) - (1*(sqrt(156) + 1*sqrt(156)) - sqrt(156)))\/(-6*sqrt(48)\/sqrt(4) + sqrt(12) + sqrt(1200) + sqrt(1200)*2 + sqrt(1200)).\nAnswer: -2*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nuxhnhzhzsznnzxxnz. Give prob of sequence ns.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491992346 to the power of 1\/3, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 420 + -420.00222. What is n rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 33 - (-10 + -12)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l. Let c be m(-5). Suppose -y = c*r + 11, 3 + 2 = -5*y. Put 3, 2\/3, r in decreasing order.\nAnswer: 3, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(4\/24*-2))\/(-1). Suppose 1273 = h*r - 4337. Let b = r + -903. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 0*m**4 - 2*m**2 + 1\/60*m**5 + 0*m**3 + 0*m + 0. List the prime factors of k(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15984 and 71817.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5221\/18 + 289. Let d = -3657\/8 - -458. Calculate the common denominator of d and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - 4 + 4)*(0 + 4 + 1) + (-k + 3*k + k)*(2 - k**2 - 2) + k**3 + 2*k**3 - 5*k**3.\nAnswer: -15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.3, 504, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**7\/14 - l**6\/15 - 3*l**5\/20 + l**4\/6 - 11*l - 2. Let a(c) be the first derivative of f(c). Suppose a(t) = 0. Calculate t.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 20. Let k be t(-6). Solve 4*a - 8 = 0, -3*a = -k*g + 2*a - 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 11*h**4\/24 + 5*h**3\/3 - 17*h**2. Let v be t(7). What is the tens digit of v + (-8)\/(-4) - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 - 3*g**2 - 134 + 274.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2750, 11051, 24870, 44201, 69038, 99375, 135206, 176525?\nAnswer: 223326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h + 20. Let g be o(0). Let c be 4\/24 - 17\/(-6). Let f be (0 + -1 + c)*1. Solve -g = f*u + 3*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(242)) - ((-1 + sqrt(242) - sqrt(242)) + 3) - -1*(2*sqrt(242) + -3 + sqrt(242)))**2.\nAnswer: -176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-4)*26\/39?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5394 and 1880708?\nAnswer: 1798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -499*h - 20452. Suppose -2*y = -25 - 29. What is the remainder when y is divided by i(-41)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 6705 = -11*z. What is the first derivative of -2692*h + 1347*h + 11 + z*h wrt h?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**7\/280 + z**5\/60 - z**3\/2 + 2*z. Let b(w) be the second derivative of q(w). What is the second derivative of b(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63790023 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122)\/(-16) + -5 - (2 + 1).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 4217834223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((0*(-3)\/((-45)\/5))\/6)\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*a + 556 + 2760, -5*j + 8320 = 5*a. What is the greatest common factor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.0747179.\nAnswer: -0.2241537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/5 (b) 25 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 969 and 3201804?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-492)\/6)\/(2\/(-12)). Let h = a - 293. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.061 != 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o - 4. Suppose -4*s = -13 - 7. Let k(i) = 2*i + 10. Let y(t) = -t - 9. Let d(g) = -2*k(g) - 3*y(g). Let l be d(s). Give p(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 5810 = 7281. Suppose -5*q + 6262 = -2*v, 3*v = -2*q - 0*v + 2520. Let b = a + q. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*(9\/(-36))\/(65\/(-312))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.745 * -4.\nAnswer: -2.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -4\/7 (b) 1 (c) -439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, r: 5}. Give prob of picking 3 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - 7331990185 + 7331990185.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2633 is divided by 1308?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109215\/(-31320)*8 + 1*28.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 643005.2 minutes?\nAnswer: 38580312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 442303?\nAnswer: -442312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 58\/10)*(-10)\/(-3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37432 - 37432 - 288*p as o*p + y and give o.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -335 + 330. Let a be 0 + 4\/(-10) - 26\/(-65). What is the closest to 2\/3 in a, -0.9, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.00588 nanograms in micrograms?\nAnswer: 0.05600588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 = 11*v - 9*v. Suppose 2*s - 268 = -4*u, -6*u = -u - 3*s - v. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {g: 3, t: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 368242 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 - 3.1. Let h(i) = -i**3 + 5*i**2 + 7*i - 5. Let m be h(5). Let f be 1 + -2 + m\/26. What is the third biggest value in z, f, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkckpkkikk. Give prob of sequence kkp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021404 times 0.3358?\nAnswer: -0.0071874632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 13. What is the third derivative of -m*l**4 - l**4 + l**2 - 2*l**2 wrt l?\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v + 147*v + 5184 = -20*v - 6412 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8672206898.99999951 + 8672206971. Let r = 11.6 - 83.6. Let o = r + k. Round o to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s + 2*s + s + (-2*s + 0*s + s)*(-3 + 2 + 0) - 2*s + 2 - 2 in the form m*s + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -2*q + 37 - 7\/2*q**2 - q**3. Factor z(p).\nAnswer: -(p + 2)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2515, 8, 199, 0.2 in descending order.\nAnswer: 199, 8, 0.2, -2515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/14*(-840)\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -2\/7, 3737.6?\nAnswer: 3737.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 82*k + 206*k**2 - 208*k**2.\nAnswer: -2*k**2 + 89*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/9 (c) -3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566\/34 - (-26)\/((-884)\/578)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -864 - -1242. Calculate the smallest common multiple of 4 and c.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((0 + sqrt(7))*-3)**2 - -3*(-2*sqrt(175) - sqrt(175)) - (sqrt(1260)\/sqrt(5) + 2 + -2*sqrt(7))**2*5.\nAnswer: -516 - 125*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a milligram in micrograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/g**5)**0*(g**(-6)\/g*g**12*g)**(1\/49) assuming g is positive.\nAnswer: g**(6\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 33 + 5. Differentiate 42 - 22 + r*v - 30 - 6*v wrt v.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 3 - (28 - 25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27765684 + -19094354. Suppose g = 8*m - 608670. Round m to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000116003786 rounded to 6 dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 5 (c) -3 (d) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*p + 24 = 0, 4*q + 13*p - 9*p = -24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 3*i + 3. Let h = -20 + 23. Does 19 divide b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {c: 1, u: 3, j: 3, e: 2, n: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a)*(2*a + 3*a - 3*a) + (104*a**2 - 2048*a + 2048*a)*(2 + 2 - 3).\nAnswer: 102*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 4*p + 4, 8*p - 185 + 177 = -4*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*a**5 - 21*a**5 + 701*a**2 - 672*a**2 + 4*a**5 wrt a.\nAnswer: -1980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/21113 - -1541219\/316695. Let h = -206549\/36 + 5737. Calculate the common denominator of u and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2394710497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57393420 by -19131140.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21362359*h**4 + 8972357*h - 2 wrt h.\nAnswer: -256348308*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 1 + 1)*(2*x**2 + 3*x**2 - 7*x**2) + x**5 - x**5 - 3*x**5 + (-4*x**2 + x**2 + 5*x**2)*(-2*x**3 + 0*x**3 + 3*x**3).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 250\/5 + (-4)\/4. Let f = t + -9. What is the units digit of f - (2 - 0)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 15. Let t(x) = x + 1. Let b(f) = o(f) - 5*t(f). Let z(j) = 5*j + 12. Let r be z(-4). Give b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 7*t - 221. Does 80 divide l(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4573*v - 3352281. Give u(-733).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 231\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34330 (base 6) to base 11.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12355*i**2 + 47115*i + 9220.\nAnswer: -5*(i - 4)*(2471*i + 461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 356 + -73. What are the prime factors of u?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 + 2 - 57*f**2 in the form o + i*f + d*f**2 and give d.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -24*d - 18. Let q(o) be the second derivative of -o**3\/6 - o**2\/2 - 4511*o. What is -42*q(c) + 2*r(c)?\nAnswer: -6*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -925*t. Let z be r(-8). What is z rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*((sqrt(56)\/sqrt(8)*-6 - sqrt(7)) + (3*(sqrt(7) - -1*sqrt(7)) - sqrt(7)) - (-2 + (sqrt(252) + 2)*1))**2.\nAnswer: -2688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + x**3 + 5*x**3 + (x**2 - 4*x**2 + 2*x**2)*(x + 5*x - 4*x) - 2*x**2 + 5*x**3 + 2*x**2)*(-3 + 3 + x)*(-3*x - 3*x + x)*(4 - 12 - 7).\nAnswer: 600*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 39 = n. Let i = -16 + n. Let d = 4 + i. Is d equal to 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.31 + 13. Round k to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**3 + 3*n**2 + 4*n. Let j be 3 - (-11)\/(66\/372). Let d(m) = 1 + 70*m + j*m - 136*m. Give -2*b(g) + 11*d(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*-3)\/(-1))\/((-6)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - w**3)*(w + 2*w - 4*w) + 2*w**4 + 0*w**4 - w**4 + (8*w**2 - 3*w**2 - 2*w**2)*(0*w**2 - 2*w**2 + 0*w**2).\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4951178*j**4 - 12920*j - 13?\nAnswer: -59414136*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 1091*z + 11766. Give t(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5644.637km to meters.\nAnswer: 5644637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.992087mm in centimeters?\nAnswer: 0.9992087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91273322 divided by 14.\nAnswer: -6519523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -78823*s. Let u(i) = 17*i**2. Determine t(u(z)).\nAnswer: -1339991*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**2))**(-4\/19))**(-3\/4)*((f\/(f*f\/(f*f\/f**(1\/4)))*f)**21)**(10\/9) assuming f is positive.\nAnswer: f**(4619\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.37 (b) -7\/5 (c) -27 (d) 8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + 67. Suppose -6*f + 57 = -n. Is ((-1294)\/8)\/(f\/(-56)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/2952*8\/(-5).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/52*-1*8\/(-30)*342\/(-38).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 229.6, 54 in decreasing order.\nAnswer: 229.6, 54, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/16, 53, 4\/9, -1\/5, 2, 3\/4 in ascending order.\nAnswer: -9\/16, -1\/5, 4\/9, 3\/4, 2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*v + 18 = 0, -8*s - v - 3 = -6*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 66. Determine w(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.240197647 + 0.2402. What is y rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*t + 284, 384 = -2*g - 2*t + 70. Let s = -130 - g. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2368, 1, 2 in descending order.\nAnswer: 2368, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4870304?\nAnswer: 2, 152197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 356, 628, 914, 1220, 1552, 1916?\n\"Answer: c**3 + c**2 + 262*c + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(12\/((-84)\/(-21))))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - v**2 + 1. Let f(i) = 3*i**3 + 7*i**2 + i - 6. Let b(t) = -f(t) - 2*u(t). Let n be b(-5). Suppose -4*y + 12 = 4. Solve 0 = k + y*k + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*z + 391. Suppose z = 3*t - 5*i, -2*t + i - 86 = -5*t. Solve -9 = 3*r, -5*a - 5*r = -0*r + t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/342 and -115\/233244.\nAnswer: 233244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -12. Suppose 2*u - 6 = -u - m, -5*m = -s*u + 10. Let c be 3 - 2\/4*u. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t. What is y(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19573770.3755 - -0.5.\nAnswer: 19573770.8755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -566 + 566.5. Suppose 5*w + 7*q - 2*q + 40 = 0, 0 = 4*w + 2*q + 22. Let k be w\/4*104\/(-117). Which is the second smallest value? (a) 4 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4, -3888218, -5 in descending order.\nAnswer: 5, 1, -4, -5, -3888218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/10 + -5)*3\/(-3)*15390\/135.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 24251343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, l: 2, j: 1}. What is prob of picking 1 n and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w - 3. Let m be a(-2). Suppose -x + 10 = -b, -m*x + 4*b + 22 = -13. Solve 4*i - 5*i + 3*g - 1 = 0, x*g = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 172 and 766303?\nAnswer: 3065212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8.87 or 0?\nAnswer: 8.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0, -294462.\nAnswer: -294462, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53011*b + 17 = -53006*b + 3*f, 4*b + 2*f = 12 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.34 in 5, 0.1, 15.9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*t)*(-2 + 2 - t)*(-24*t + 4*t + 3*t).\nAnswer: -34*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -2\/17, -1\/6, 4.\nAnswer: -1\/6, -2\/17, 0.04, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in seconds?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*h - 135*h = -4*b - 349, -364 = -3*h + b. Put 0, -3, h in increasing order.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 27. Suppose x = -3 + k. Suppose 3*d = 5*h - 205 - 35, -15 = -x*d. What is the highest common divisor of h and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -10*v**2 - 6*v + 6*v**2 - 22 + 7*v**2 - 3*v**3. Let f(g) = 26*g**2 - 17*g + 17. Calculate 6*f(t) + 17*i(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 9*n = -2652447. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*-3 - sqrt(5) - sqrt(5)) + 2 + sqrt(5) + -5.\nAnswer: -28*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (77 - 25) + -11 + -64?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -28*k - 31. Let r be s(-4). What is the common denominator of 25\/14 and (-4)\/2 + (r\/(-72) - 9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937785574 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + -13. Is 40*(2 - d\/(-10)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -234*s - 374. Let t be f(-6). Is t > 1034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 - (-992)\/144) + 33 + -11 + -1?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3140800700?\nAnswer: 2, 5, 19, 157, 10529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*r + 5*n - 50, 5*r - 140 = 5*n. What is the smallest common multiple of r and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682731 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let p(q) = -10*q**2 + 2. Give p(a(v)).\nAnswer: -10*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {m: 1, o: 1, w: 3, n: 2, c: 8, l: 2}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2944\/(-96))\/(1\/(-3)). What is the greatest common factor of 8 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 5*p - 32 = 5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 152, 87, -8, -127, -264?\n\"Answer: m**3 - 21*m**2 - 9*m + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/9 + 4\/(-18). Let i(g) = -g**3 + g. Let f be i(c). Let w(j) = -3*j + 6. Let l be w(f). What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -266170, -532392, -798614?\n\"Answer: -266222*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9737894 or -9737891?\nAnswer: -9737894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -130 - -132. Suppose -3*j + 0*t = -2*t - 13, -5*j = -4*t - 21. Let u be (55 - 53)\/(2\/(-5)). Put f, j, u in ascending order.\nAnswer: u, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.4, 3, 1\/3, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/8 - 9*q\/2 - 81\/2 = 0. What is q?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-42)*-9)\/((-2)\/(-7))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**2\/4 + 401*z\/4 + 67\/2 = 0.\nAnswer: -1\/3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/14)\/(12\/(-84)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5001496379 from -3.5.\nAnswer: -4.0001496379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -6*o - 201, 4*o = 32*a - 25*a + 3*o - 140 + 85 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -30509.797.\nAnswer: 3050.9797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 0 + 0 + 137258*b**2 - 137256*b**2. Let q(a) = 35*a**2 + 3. Give r(q(y)).\nAnswer: 2450*y**4 + 420*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 8) + 7831\/(-615).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30237 = 4*h - 3*g, 0 = 15*g - 20*g + 5. What are the prime factors of h?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1670 + 1?\nAnswer: -166e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11 - 3*t - 7 - t**2 + 8 + 0*t. Let y be j(-6). Let i = 11 + y. Solve -h - i = -2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50449, -50422, -50355, -50230, -50029?\nAnswer: -49734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 70*q + 782. Give h(-10).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 38 (b) -4 (c) -0.087 (d) 2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose -4*h = w, t + h - 5*h - 34 = 0. Suppose -2*i = -4*q - 24, 6*q - q + t = 4*i. Let z(s) = -s**2 - 6*s + 3. Determine z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.86584142 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 216484752 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/29?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1 - 6\/2. Let i be -1*(-2 - -3)*b. What is the common denominator of 26\/5 and (-103)\/(20\/(i - -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-704)\/(-11) + 3*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 15 = 8*d. Suppose -z + 4 = 3, 0 = -r - d*z + 73. Suppose 2*o + 5*p = 5*o - 57, 0 = -o - 4*p + 2. Calculate the highest common divisor of r and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17115 and 29151735.\nAnswer: 2445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -1 (c) -0.426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*-1*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**3 - g - g**3 + 0*g**3)*(2 + 3 - 3) to m*g**3 + c*g**2 + i*g + t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591520.\nAnswer: 2, 5, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 7*r**2 + 7*r - 6. Suppose -13 = -6*l - 1. Let m be l\/13 + ((-400)\/65 - 3). What is the units digit of j(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 32. Let v(h) = -h - 16. Let i(p) = -4*m(p) + 7*v(p). Let o be i(-11). Solve -d + o*f = -4*d - 35, -3*f = 2*d + 22 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177703921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4}. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, v: 4, z: 6, r: 3}. Give prob of sequence rzz.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 104760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 7:53 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*a = 1281*a - 15165 - 27739 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.11105 - -111.10991. Let v = w - 110. What is v rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 6*h + 4. Let c = 596 - 590. Determine n(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 976 = -0*s + 5*s, -1648 = -5*a + 3*s. Suppose -2082 = -35*t - a. Calculate the remainder when t is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5621.53 - -5594. Let k = s - -27. Round k to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 2. Suppose 275 = -31*b + 27. What is p(b)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, 60, 212, 404, 624, 860, 1100?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 52*n**2 + 243*n - 136. What is i(-47)?\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*w - 3*x, -4*w - 21 = -21*x + 22*x for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 4:45 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v + 451. Determine s(-18).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*((-2 + 4 + 0)*(-2 + 2 - c) - 10 + 3*c - 8 + 19).\nAnswer: 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46674, 46441, 45810, 44583, 42562, 39549, 35346, 29755?\n\"Answer: -33*c**3 - c**2 + c + 46707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2163.\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*c - 3 = 15, 0 = 2*i - 5*c + 2. Let o be ((-24)\/i)\/3*-2. Solve -o*t = -2*v - 0*v + 14, 4*v + 16 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -7563.8\nAnswer: 257169.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 2:28 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -190*g + 1709. Let y be l(9). Is y <= -538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*r + 40130 - 41093 = 0 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504 + -140. Is g a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 216959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t. Let k(n) = n - 1. Let d(y) = 5*y + 3. Let v(o) = -11*o - 6. Let b(f) = -13*d(f) - 6*v(f). Let s(c) = -2*b(c) + 6*k(c). What is s(p(r))?\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*f + 26, 0*f + 5*f = -5*x - 15. Suppose 8*q - 10*q = -x. Let u be -9 - -128 - (q + -2). What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-seven quarters of a milligram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-110)\/(-9) + 2\/(-9). Let w(t) = -27*t - 746. Let p be w(-28). Suppose v*b - p*b = 238. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 30. Give b(27).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*r + 149*r + 876. What are the prime factors of r?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -113, -234, -413, -656, -969, -1358, -1829?\nAnswer: -2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3\/4 + 5*i**2\/2.\nAnswer: -5*i**2*(i - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2219, -4399, -6587, -8783, -10987, -13199, -15419?\n\"Answer: -4*w**2 - 2168*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 844.3833 litres to millilitres.\nAnswer: 844383.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (854\/(-105) - -8)\/((-6)\/5)*10\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 10. Let n be ((-43)\/(-15) + c)*-21. Suppose n*i**3 + 6\/5*i**4 + 4\/5*i**2 + 0 + 0*i = 0. What is i?\nAnswer: -2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26696*u + 26597*u + 2574 = 0 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.012 + 0.412. Which is the second smallest value? (a) 3 (b) 5 (c) 1\/4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*f + 8225 = -12*f. Calculate the highest common divisor of 50 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 5) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*a - 3232 - 1384 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*d = 2*c + 10, 0 = -3*c + 4*d + 8. Which is smaller: c or -4\/17?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j*j*j**(-8\/11)))\/j*j**18)\/(j*j**1*j\/(j\/((j*(j\/j**(1\/5))\/j)\/j))))**(2\/23) assuming j is positive.\nAnswer: j**(1752\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*f*n**3 + 59*f - 6*n**3 + 3*n + 382 with respect to f.\nAnswer: 27*n**3 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474396 and 702.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1666 by 34.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-2)*(-2508)\/(-642675)?\nAnswer: -2\/205","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m - 12. Suppose 4*f - 8 = -3*c + 16, 4*f - 24 = 3*c. Let n be w(f). Solve 3*y + y + 4 = n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 60. Let d(k) = -54*k - 5. Let l be d(a). Let h = l + 1. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -54*m**3 - m**2 - 2*m - 1. List the prime factors of k(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2213 - 5?\nAnswer: -2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/432 and 44941\/(-288288)*-6 - (-18)\/(-33).\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33017474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3025 + 5807. Does 107 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2211*c - 2198*c - 3)*(-8*c + 25*c - 2*c).\nAnswer: 195*c**2 - 45*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 71, 5, 0 in decreasing order.\nAnswer: 71, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230554?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**9\/70560 + r**8\/8820 + r**7\/2520 + r**6\/1260 - 11*r**5\/60 - 6*r**2. Let o(p) be the third derivative of f(p). Factor o(t).\nAnswer: 2*(t + 1)**2*(3*t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 638300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144 + -139 - (21 + -8 + -8) - (1 + 50)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 9:42 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:25 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 - j**2 - j. Let g be n(-1). Suppose 0 = -d + g + 13. Solve 2*z = m - 5*m + d, -2*m + 10 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*r + 812508 = 795868 for r.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubk when three letters picked without replacement from {b: 5, q: 6, k: 1, u: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*z + 1217, -2*s + 1259 = 7*z - 2*z. What is the remainder when z is divided by 65?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-3*p + 2*p - p) + (p - 2*p + 3*p)*(-3 + 4 - 3) + 3*p - 3*p - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 5*h - 18, -5*h + 2*h + 16 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, 0.183, -5, -77 in ascending order.\nAnswer: -77, -5, 0.183, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 105\/((238\/51)\/(-14)*90\/(-12))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(((-17)\/(-34))\/(1\/12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 10 + 235. Let d(p) = 12*p - 1. What is the remainder when l is divided by d(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246776 is divided by 1408.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 10:45 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*a**3*q + 2*a**3 - 103*a*q wrt a?\nAnswer: -282*a*q + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300 is divided by 142.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6968\/272 - 7\/((-119)\/(-2)). Let x = 24 - s. Which is the nearest to -0.2? (a) x (b) 0.3 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3513 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:16 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, 4, 1, 0.4 in ascending order.\nAnswer: -3.3, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(-24*s - 1556 + 1556)*(1 - 2*s - 1).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-17 + 12 + -8 + 2) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -146, -218, -290, -362?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 156*q**3 + 7*q + 460.\nAnswer: 468*q**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4186\/100473?\nAnswer: 4186\/100473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 34 = -3*t - 2*s, -s = 5*t + 65. Let x = t - -3. Sort 0, 2, x in decreasing order.\nAnswer: 2, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*w + 267 = 152*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*f - 30 - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from ebbee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1718 + -0.1718. Which is the closest to w? (a) -3 (b) -6.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/152*-16 - 133\/19?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -6, 4, 135, -13\/6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1327517197 to the nearest integer?\nAnswer: 36435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -8 - -18 - -1) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11290000 to the nearest 100000.\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) + (sqrt(175)*2 - sqrt(175))*6)*2 + 1*(sqrt(175) + -1)*4)**2.\nAnswer: -720*sqrt(7) + 56716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g + 49448 - 98852 + 49404 - 6*g + 0*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/114 and -79\/30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -285\/23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 24 + 24 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 divided by 6.\nAnswer: -161\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3*(sqrt(125) + sqrt(5))*3 + sqrt(735)\/sqrt(3) + sqrt(5) + (sqrt(15)*-5 + sqrt(15))\/sqrt(3))*3)**2.\nAnswer: -5220*sqrt(5) + 151605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 34 - 5\/3*m**3 + 15\/2*m**2 + 0*m. Let u(v) = 0. Calculate v.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152018 is divided by 75374?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39783608 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001760217703 to 7 dps.\nAnswer: 0.0000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/5 - 2) + (-1128)\/(-235). Suppose -u*k - c + 2876 = -3*c, 4*c = 8. What is the remainder when k is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11931*a + 5972*a + 5958*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 59*f**2 - 185*f - 6569. Calculate p(-60).\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10545 = 23*l - 14591 - 8628. Calculate the remainder when l is divided by 160.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4562750522 to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 36462 - z - 36456 + 7*z**2. Let k(n) = -15*n**2 + 2*n - 11. Let h = 13 - 6. Suppose 8*o + 11 = h*o. Give o*x(w) - 6*k(w).\nAnswer: 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 378 + -412.5. Let a = 34.4492 + f. What is a rounded to 3 dps?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - y + 2*y)*(-y + 0*y + 3*y) + 512*y**2 - 286*y**2 - 1133*y**2 to m*y + v*y**2 + f and give v.\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176032514678 less than 275?\nAnswer: -176032514403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8388.916 + 8318. Let k = -0.107 + 71.107. Let p = r + k. Round p to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -126234 or -126229?\nAnswer: -126234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*p + 9*p + 7*p)*(0*p**2 - p**2 - p**2) + (0*p**3 + p**3 + 3*p**3)*(3 - 2 + 0) to the form b*p**3 + c*p + f + z*p**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4)\/b)\/(b\/(b*b**(3\/5)))*b*((b\/(b**(3\/8)\/b)*b)\/b)\/b*b*(((b\/(b**(2\/13)\/b))\/b*b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-483\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 759.1625g to tonnes.\nAnswer: 0.0007591625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = 4*m + 98, 24 + 41 - 17 + 39 - 4 = 19*b - 3*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/(363\/(-242))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 3*s. Let j be (5 - -2)*(2 + -1). Let n be k(j). Suppose -2*d + 36 = -n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 469*i*u**3 - 2*i*u - 15543*i + 11*u**3 + 2 wrt u.\nAnswer: 1407*i*u**2 - 2*i + 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5 - 32*k**4 - 176*k**3 - 384*k**2 - 288*k = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201247458?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107 = -4*c - 2*o + 41, 0 = -5*c + 3*o + o + 237 - 65 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -15, -17, -9, 15, 61?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/693*-42*((-11448)\/32)\/9?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000494412008 to 7 dps.\nAnswer: -0.0004944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - u = -549, -c + 10 = 4*u - 96. Suppose -2*r = 3*r + c. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4) - ((-12627)\/4806 - -2) and -95\/12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 2*s**6\/15 + 59*s**5\/5 - 20*s**4 + 169*s. Solve c(p) = 0.\nAnswer: -60, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12))**(-36) assuming j is positive.\nAnswer: j**432","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 329, 256 in ascending order.\nAnswer: -1, 256, 329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/32 - 5)*4\/(-10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -39. What is the remainder when u is divided by 0\/(1 - 2) + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 26*k + 3*d = -2, -5*k + d = -5. Put 0, 5, k in descending order.\nAnswer: 5, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -599 or -809?\nAnswer: -599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, 3 in decreasing order.\nAnswer: 3, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5165 (b) -3 (c) 0.133 (d) 4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/5 + 3*a**2 - 13*a. What is the derivative of r(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - v + 168. Let p be c(12). Suppose p*t + 5*g = 11*t + 33, 3*t + 2*g = 34. Solve 2*r - 3*q = -t, -3*q + 5 - 2 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wncjccnwwcncw. What is prob of picking 4 w?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -34139*l - 341359. Calculate v(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y. Suppose 2*k - q + 29 = 7*k, -2*k + 5*q + 17 = y. Suppose d = k*d - 10. Which is smaller: d or 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-17)\/((-578)\/(-51)))\/((-47007)\/15666 + 3) and 8.\nAnswer: 20888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -598*a + 15. What is the tens digit of y(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 t when four letters picked without replacement from {f: 1, h: 1, t: 3, d: 1, r: 1, c: 5}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Let n = l - 8. Which is the second smallest value? (a) -4\/9 (b) -1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2. Let u(d) = 6*d**2 + 2. Let o(y) = 3*n(y) + u(y). Let m be (-18)\/(-21)*119\/(-34). List the prime factors of o(m).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 224, 510, 886, 1382, 2028, 2854, 3890?\n\"Answer: 5*x**3 + 191*x - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 5*w + 4. Let q be s(-5). Suppose -q*o - 2*m = -26, 3*o - m + 23 = 7*o. Solve 5*l + i = -22, -5*i + 6 = -o*l + l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146222.75 rounded to the nearest 100?\nAnswer: 146200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 467883 to the power of 1\/2, to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 10*y. Let t(g) = -4*g + 661. Determine w(t(f)).\nAnswer: -40*f + 6610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -3*q**5\/10 - 80*q**2. Let o(p) = 2*p + 2 - 2. Determine r(o(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/20 + 13*a**4\/12 - 5*a**3\/3 + a**2\/2 + 18*a + 4. Let b(c) = -c + 12. Let z be b(0). What is the tens digit of m(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 986337 and 717336?\nAnswer: 7890696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unpnnnnnnnnnnpnnn. What is prob of picking 2 p and 1 u?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4200 - -4235. Solve 85 = a*y - 18*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013629 to 5 decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.886 + -1.114. Which is the nearest to 0.007? (a) v (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1200 and 26\/18375.\nAnswer: 294000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -140464 + 4?\nAnswer: -140460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -399 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801655 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 169. Suppose 12*a - 2*r - 119198 = 10*a, -2*a + 119197 = -w*r. What is a rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904) + -2*sqrt(2904) + sqrt(2904))\/sqrt(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-64 + 173 - 42).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/10)\/(1\/(-4)). Find the third derivative of -4*m - 9*m**t + 12*m**3 + 4*m - 6*m**3 wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 21. Which is bigger: j or -0.14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.100600856 * -0.5\nAnswer: 0.050300428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -0.3019.\nAnswer: 0.24152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-two fifths of a meter?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 56*k - 728. Let b be q(13). Solve -2*n + 4*j + 2 = b, 2*n - 6 = n - 3*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*z = 213 - 282 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 103?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27560 + 27564. Let h(l) be the first derivative of l**3\/3 - 5*l**2\/2 + l + 2. Give h(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5 - 14)*(-3 + 4 - 4)*(-5 - 3*v**5 + 5) + 3 - 2*v**5 - 3 - 2.\nAnswer: -56*v**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*m + 17, -3*d = -38*m + 34*m + 14. What is the greatest common divisor of m and 3415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 351*u**2 - 5 + 4 - 21*u**3 - 26*u**3 + 82*u**3 - 37*u**3 to c*u**2 + x + y*u**3 + z*u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**6 - 5*k**3 - 112*k**2 + 2. Let y(z) = -3*z**6 - 12*z**3 - 225*z**2 + 5. Let a(h) = -5*u(h) + 2*y(h). Find the third derivative of a(l) wrt l.\nAnswer: 480*l**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + -1)*3\/(-8). Let f = b + -1. Determine v, given that -1\/4*v**2 - 1\/4 + f*v = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6005*n + 3656. Let m(d) = -6004*d - 3710. Let r(i) = 8*j(i) + 9*m(i). Find the first derivative of r(p) wrt p.\nAnswer: -5996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) + (4*sqrt(4050))**2 - ((sqrt(50) - (sqrt(50) + -1)) + 3)**2.\nAnswer: 5*sqrt(2) + 64784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 2. Let w be q(-3). Find h, given that -h - h**3 - w*h**2 - 3 - 4*h - 2*h = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-7)\/((-28)\/(-16)). Let m(j) = j - 4. Determine m(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 644.0073 days?\nAnswer: 55642230720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -127 (c) -4 (d) -5 (e) 5267\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76521370901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - q**2 + 2*q + 12. Let x be d(0). Let j be (1 + -1)*x\/(-24). Put 5, -2, j in descending order.\nAnswer: 5, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*a = -2*a + 80, -a + 65 = 3*k. Suppose -k = -4*t - 3*f, -5 + 15 = -3*t + 4*f. Solve -14 = -t*m + 7*u - 3*u, 15 = 3*m - 3*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.31 - -18.31. Which is the third smallest value? (a) -1 (b) m (c) 492\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c - 22. Let o(f) = -5*f + 11. Let p(n) = -4*m(n) - 9*o(n). Let i be p(9). Suppose 0 = 10*j + 22 + 18. Put i, j, -1 in decreasing order.\nAnswer: -1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028933018 rounded to 7 dps?\nAnswer: -0.0002893","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.062 <= -45.51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 10*b - 6*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10251 and 42210?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:23 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 131228742 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80568)\/1320 - -61) + (-876)\/110?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0)*((-6 + 2 + 2)*(-k - 3*k + k) - 37*k + 14 - 14).\nAnswer: 31*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24746 + 1?\nAnswer: 24747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1234?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/60 - p**4\/6 + 4*p**3\/3 - 1275*p**2. Calculate r(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 > -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - c + 8, 6*k - 2*k + 5*c - 21 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4765*r = -4736*r - 1015 for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 3*d = 30*r - 129, 4*r - 26*d = 3*r - 1095 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 4*t**3 - t**3)*(-321*t - 328*t + 639*t).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 46 = -4*r. Let k(m) = 2*m + 5. Let b be k(-5). Let u = b + r. Calculate the greatest common divisor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsnz when four letters picked without replacement from {v: 2, z: 2, e: 6, s: 2, n: 2, x: 3}.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*(-4)\/12)\/1. Let c(a) be the second derivative of a**2 + m + 1\/3*a**3 + a. Give c(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*v - v - 6 = 0, 3*a + 5*v = 16. Suppose -5*h = -a*h - 30. What is the tens digit of 91\/2 + 5\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 14 = -0*p + 2*p, 0 = -i - 2*p + 4. Suppose 2*d = -2*d - 2*w - 10, i = -2*w. Suppose d = -2*m + 7*m - 50. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 11*s + 13 - 8.\nAnswer: 11*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*q**4*r**2 + 5796*q**4*r + q**2*r**2 - q**2 + 30*q - 13651*r**2 wrt q?\nAnswer: -3312*q*r**2 + 139104*q*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167932062 is divided by 4267.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 1 - (-408)\/1. Find the second derivative of 5*n + p*n**2 + 3*n**5 - 406*n**2 wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 427\/9390 or 1?\nAnswer: 427\/9390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1911))\/(sqrt(3) - (sqrt(3) - 4*sqrt(24)\/sqrt(8))).\nAnswer: -7*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*a + i, 0*a + 3*i - 20 = -a. Let j be 3\/a*(-8)\/36. Put -0.1, j, 2 in increasing order.\nAnswer: j, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12721 + 12717.8. Which is the second smallest value? (a) -4\/7 (b) 1\/329 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**5 - 32*u**4 - 104*u**3 - 128*u**2 - 48*u = 0. What is u?\nAnswer: -6, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 2 - 2*r + 0 - 3*r**2)*(-25*r + 17 + 10*r + 12*r).\nAnswer: 3*r**3 - 11*r**2 - 28*r - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.8, 233461, -3.\nAnswer: -3, -2, -1.8, 233461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 0. Suppose 0 = 3*a + 2*f - 177, j = -a - 2*a - 5*f + 177. Suppose -2*l + 41 = -a. Calculate the common denominator of -68\/3 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20767*u + 1995*u - 12292*u as z*u + g and give z.\nAnswer: -31064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 98366554 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/5 + 40986*m\/5 + 4177724 = 0.\nAnswer: -19970, -523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1)\/((-3)\/24). Let m = -1271 - -1267. Is 12 a factor of 70 - ((-3)\/6 + m\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 888 is divided by 61.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.34, -0.03, -2\/695, -0.1, -1 in descending order.\nAnswer: 1.34, -2\/695, -0.03, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -0.27, -38907, 0.9 in decreasing order.\nAnswer: 4, 0.9, 0, -0.27, -38907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/(d*d\/d**(1\/9)))\/(d**11*d**(-3)*d*d*d) assuming d is positive.\nAnswer: d**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10441 - -10525. What is the highest common divisor of 2919 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 11:12 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 6:31 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9684.087 nanometers in micrometers?\nAnswer: 9.684087","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -40, -15, 4, 18, -1 in increasing order.\nAnswer: -40, -15, -1, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/9 - 256*b**2\/9 + 262*b\/9 + 172\/3.\nAnswer: -2*(b - 2)*(b + 1)*(b + 129)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 5*d. Let o(z) be the third derivative of z**5\/30 - z**4\/4 - 6*z**2. Let q = 101 + -106. What is q*o(y) - 6*x(y)?\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 44426 and 44431 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 6*u - 2. Let g(f) be the second derivative of f**4\/3 + f**3\/6 - 7*f. Let z be g(-3). Suppose 5*n + 16 = n, 2*n = 5*r - z. Give w(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 10\/9 (c) 0 (d) -48.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.147469 rounded to 1 dp?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/4))\/j**(3\/7))**(2\/87) assuming j is positive.\nAnswer: j**(23\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-44 - 1) + -44.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402104300 (base 5) in base 2?\nAnswer: 1101100010110101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 488533*p = 488476*p + 1596 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -31*f + 33*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2241.5 times 1018\nAnswer: 2281847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 d when four letters picked without replacement from {x: 3, r: 2, d: 7}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.35. Let i = 0.7511 - 0.702. Let c = y + i. Round c to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.6 + -49.596736. What is d rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 921 or 925?\nAnswer: 921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41343046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -11*m**3 + 38*m + 53. Differentiate x(y) wrt y.\nAnswer: -66*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 1)*(7*i - 2*i - 3*i) - i - i + i + (1 + 0 + 0)*(-5*i + 3*i + 4*i) to the form w + g*i and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a**2 + 30*a + 47. Determine g(-2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-47)\/(-9)*(-537)\/11. Let d(c) = 256*c**2 + 11*c + 10. Let a be d(-1). Let n = q + a. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1619 - 1617. Let w(j) = -j**3 - 4*j**2 - 6*j. Let f(m) = m**3 - m**2 + m. What is o*f(d) - w(d)?\nAnswer: 3*d**3 + 2*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2266 divide 63511834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*q + 5152000 = -190*q. Round q to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in -1, -2.96, -10, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*(-169 + 578 + 354)*(-2*q**4 - q**5 + 2*q**4).\nAnswer: -1526*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 359 a factor of 85482432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvr. Give prob of picking 2 v and 1 p.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*w = -9 + 3, -2*n - 3*w + 5 = 0. Calculate the least common multiple of 6 - (5 - (n + 1)) and 62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 10*v. Suppose o - 13 = -5. Suppose -o = z + 2. Let q be x(z). Which is bigger: -2\/17 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30915 divided by -45.\nAnswer: -687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:25 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flulublulbbululubbbb. Give prob of picking 2 u.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 less than -2.3070318?\nAnswer: -2.4970318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 0 - (21054\/880 - 31))*8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*g + 104 - 1073 = 0. Solve -g*a = a + 20 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/47 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + -0.2. What is the closest to l in -4, 0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - c**2 + 10*c + 36. Calculate v(-4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -20, -41, -68, -101, -140?\n\"Answer: -3*w**2 - 6*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.96 - -0.04. Let b = 1.394 - 31.354. Let j = x + b. Round j to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = s. Suppose 2*q + 3*q + s*m - 145 = 0, 5*m + 87 = 3*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:31 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 8*u + 16.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -160799*b**3*l*x**2 - b**3*x - 2*b**2*x**3 + 19*b**2 - b*l*x**3 + 5789*b*x**3 with respect to l.\nAnswer: -160799*b**3*x**2 - b*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309*s**2 - 380*s**2 + 682*s**2.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 766187535 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 57*t - 58*t. Calculate the highest common factor of 448 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 7*k - 2*k - 2 + 3*k.\nAnswer: -6*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 555*k**4\/4 - 347*k**3 + 2087. Find the third derivative of l(d) wrt d.\nAnswer: 3330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.311 + 35.789. Let n = p + -36. Let a = 175 + -1051\/6. What is the nearest to n in 0.3, a, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:36 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 310.3 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 3, b: 1}. What is prob of picking 2 r?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337650365029278 + -1.\nAnswer: 1337650365029277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/8)\/(30\/(-20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -301 + 501. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4475 divide 1573870925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*i - 1219 = -435. Calculate the remainder when 37 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18, 1, 19 in ascending order.\nAnswer: -18, -4, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45410 and 0.333.\nAnswer: 45410.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14848 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 10 = -12*u. Solve u*i + 4*q + 45 = -q, -17 = 5*i - 2*q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 142683 - -10?\nAnswer: 142693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 i when three letters picked without replacement from iwiiiiiiiiiiiwiiwiii?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*z**3 + 2*z - 552*z**3 + 90*z**2 - z**4 + 318*z**3 in the form g*z**3 + d*z**4 + x + b*z**2 + f*z and give g.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.384 + 0.184. What is the closest to 0 in c, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let y(n) = -5*n + 8 + g - 34. Let x be y(-14). Calculate the greatest common factor of 6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11042645 to the power of 1\/2, to the nearest integer?\nAnswer: 3323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*a**3*l - 2316*a**2*j**2 - 2*a**2*l + a*j**2 - 4*j**2 - 70847*j*l wrt a.\nAnswer: -78*a*l - 4632*j**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*p**6 - 55*p**2 wrt p?\nAnswer: -4440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/350*160\/(-1024)*16?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvpddvysdd. What is prob of picking 1 d and 1 v?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b + 8 = 0. Suppose -57 = -4*n - 0*n + 5*p, -41 = -b*n + 5*p. Let a be (-500)\/n*4*8000. Round a to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**5\/20 + 7*u**4\/12 + 7*u**3\/6 + u. Let w be f(-5). Suppose 3*q = w, 5*h - 4*q - 1 - 9 = 0. Solve g = h*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v*(v*v**(-6\/13)\/v)\/v)*v)\/(v**(-1\/8)\/v))**(2\/5))**(-2\/11))**14 assuming v is positive.\nAnswer: v**(-2611\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.00177517 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-15) - 16\/60. Which is the smallest value? (a) w (b) -2\/19 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 15*c - 17. Let g be b(-13). Calculate the greatest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 14\/6)\/((-298)\/(-2533)*425\/45)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-10) - -1)*27. Calculate the highest common divisor of x and 594.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 18 (b) -4 (c) -3\/2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*f = -7900 + 25840. Calculate the remainder when 1557 is divided by f.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 77397036.\nAnswer: 77397035.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 3*z. Suppose 2*x - 64 = x + 4*h, z = -4*h + 8. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -39*c**2 - 17*c - 12. What is p(-1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 34, 107 in decreasing order.\nAnswer: 107, 34, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/2983 - -24577\/53694. Calculate the common denominator of -89\/36 and a.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2701085064?\nAnswer: 2, 3, 112545211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 65. List the prime factors of u.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 13*f**2 + 6*f - 17. Let j be n(-12). Suppose 2*q = -33 + j. Suppose q*x - 6*x = -p + 452, 4*p = 5*x - 467. List the prime factors of x.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddzddzdd. Give prob of sequence dd.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t - 252 = -29*t. Let z be 2528404\/t - (-5 - 34\/(-7)). Round z to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -61. Let i(q) = -q**3 - 11*q**2 - 13*q - 1. Let d be i(-10). Let l = d + -12. What is the remainder when y is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 3*k - 6. Let m be v(-7). Let r(t) = -2*t**2 - 6*t + 6. Let w be r(-5). Let f = w + m. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -159.8832, -0.3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 5*s**2 + 4*s. Suppose 5*w = -3*c + 53, -2*w + c + 6 = -13. What is the least common multiple of w and j(4)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u - 10*u + 180 = 0. Suppose 0 = -27*r + u*r + 9338. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 13*m + 16*m - m**2 - 42*m + m**3 - 5*m**4 + 13*m to the form a*m**3 + s + g*m + o*m**4 + t*m**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1, -135 = 5*t + 5*u + 95. Let w = t - 66. Let h = 140 + w. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.268727265 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1108 = -5*y + 10128. Let u = y - -639. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10522 and 4222 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 90*o. Let g(w) = -w. Calculate x(g(i)).\nAnswer: -90*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h*h\/h**(-2)*h*h)**(6\/25)*(h*h*h*h*(h**(2\/3)\/h*h)\/h*h)**(1\/26) assuming h is positive.\nAnswer: h**(2047\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - z = -2*z + 53, 0 = 5*d + 2*z - 70. Solve 3*y + d + 0 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - f - f. Let g(k) = -6*k + 8. Let x(p) = -p + 3. Let v be x(6). Let i(q) = -2*q + 3. Let l(c) = v*g(c) + 8*i(c). Calculate a(l(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*s + 4*s. Let q(v) = 3 + 7*v + 3 + 3. Is q(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 10 + 2)*(461*c**2 + 302*c**2 - 1273*c**2).\nAnswer: 5610*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1755 times 0.1\nAnswer: 175.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y**2. Let i(g) = -2*g**2 - 235. What is i(j(h))?\nAnswer: -1250*h**4 - 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*x = -o + 10050, 0 = 3*o - 6*x - 15078. List the prime factors of o.\nAnswer: 2, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14811 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 189*b**3 - 186*b**2 - 381*b - 6 = 0.\nAnswer: -1, -1\/63, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848aa4 (base 12) to base 16.\nAnswer: 1fe01c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11365 by -5.\nAnswer: -2273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 5. Let q(n) = n - 4. Suppose -7*m + 2*m + 3*k + 30 = 0, 0 = 4*k + 20. Determine m*q(b) - 2*u(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/98 and -14\/1537.\nAnswer: 150626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.858 + 2.142. What is the smallest value in w, -5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4878297*d**4 + 2752717 wrt d?\nAnswer: -19513188*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g + g**2 - 13\/30*g**6 + 0 + 1\/6*g**3 + 1\/30*g**5 + 1\/12*g**4. Is r(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - f + 1. Let n(x) = 3*x - 19. Let q be n(6). Let l(z) = 6*z**2 + 2*z - 2. What is q*l(p) - 2*r(p)?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = r + i, -9 - 9 = -3*r + 2*i. Suppose 4*z - y - 1 = 1, 4*y + r = -3*z. Let w be (-48)\/21 + 4\/14. Put z, 4, w in ascending order.\nAnswer: w, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b**4 - 39*b**3 + 33*b**2 - 12*b + 3. Let t(c) = c**5 - 31*c**4 + 78*c**3 - 67*c**2 + 24*c - 5. Let g(x) = -3*t(x) - 5*u(x). Factor g(p).\nAnswer: -3*p*(p - 2)**2*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*y - 257*y - 3*j - 15, 5*y - 15 = 3*j for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 + 1. Let h(g) = -g**3 - 2*g**2 - 6. Let a(o) = -2*c(o) - h(o). Suppose 15*v - 19*v - 20 = -q, q + 16 = -5*v. Calculate a(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 73*x - 15. Let b be w(5). Calculate the highest common divisor of 98 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4896 and 217128.\nAnswer: 44294112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 143.2362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2287 - 2307.71. Let d = 5.4 + -25. Let k = d - t. What is k rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 + 11*k**2 - 4*k**2 + 5*k**2 as j*k**2 + h + i*k and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p\/p**(2\/3)*p)\/p*p)*p)\/p)**16*(p**(-1)*p)**(-3\/5) assuming p is positive.\nAnswer: p**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683, 3575, 11265, 26153, 50639, 87123, 138005?\nAnswer: 205685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 5*d - 4. Calculate h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 23, 1\/6, 0, 60\/13, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 839764 and 12681.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(-20*27\/32400)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33069785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 - 160*k**2 + 142*k - 17. Is d(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307 and 27220769?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4) + 6\/12. Let b be w\/(5\/260*4). Let a(z) = 1790*z**3 - 16*z**2 + 5*z + 9. Let s be a(b). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-18) + 1240\/72?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(-3 + -2 - -1). Which is the closest to 0.5? (a) k (b) -2\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 60 - (-363 - -286)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (78 - 110 - -33) + 54 + 1?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -42*h - 135. Let r(a) = 26*a + 90. Determine 5*d(b) + 8*r(b).\nAnswer: -2*b + 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33 - 11637?\nAnswer: -11671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 29, 21, 19, 23?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/10 - 1511*f**3\/5 + 340344*f**2 - 169111685*f + 62471025475\/2 = 0. What is f?\nAnswer: 577, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880 and 97515?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1008*k**3 + k**2 - 181*k?\nAnswer: 6048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 183 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-70)\/(-105))\/(4\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (-29 - -64 - 37)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 248*d - 256*d + 1006952. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13.4 + 9.3. Round r to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -399 in 0.6, 4, -0.1, 0.4, -6\/17?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/120 + 2*c**5\/15 + 3*c**4\/8 + 3*c**2 + 14*c. Calculate u(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*t**3*z - 7*t**3 + t*z - 64*z wrt t.\nAnswer: -108*t*z - 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -65, 121, 3, -2 in descending order.\nAnswer: 121, 5, 3, -2, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-8)*d*d)\/d*(d*d\/(d**5*d))\/d*d\/(d*d*d**5*d)*d**(-4))\/((d**(-1\/9)*d)\/(d\/(d**(-2)*d*d))*(d*(d\/(d*d**(1\/4)*d))\/d*d)**(3\/25)) assuming d is positive.\nAnswer: d**(-20573\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 34. Is ((-1)\/u)\/(2\/(-132)) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 8*y**2 - 3*y + 24. Let l be q(8). Suppose 0 = 4*k + 2*x - 14, x + 2 = -4*k + 11. Is l < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z**2 - 2*z + 3. Let p(u) = u**2 - u + 1. Let y(b) = h(b) - 3*p(b). Let k be y(0). Solve k = 3*a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a + -16a?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1188 - 1189. Put s, 65, -3 in increasing order.\nAnswer: -3, s, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = 16*m - 354. Solve 165*q + m = 164*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/9 and 16\/41231.\nAnswer: 371079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029992 rounded to three decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 + 100 = 15*n. Suppose -n*u = -30*u + 2215. List the prime factors of u.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9511 or 11?\nAnswer: -9511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/6 + 156\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4167366?\nAnswer: 2, 3, 7, 99223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069988 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -10. Solve m = 3*d + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -70, 4, 0.4 in increasing order.\nAnswer: -70, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*v + 179*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4055016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -16900*l**4 + 3059420*l**3 - 138505124*l**2 + 4259524*l - 32760 = 0. Calculate l.\nAnswer: 1\/65, 90, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*u - 2*x - 8, 0 = u - 3*x. What is the remainder when u is divided by 14\/2 + (-20)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90204 - 90204 - 4*i**3 + 180425 + 2*i**3.\nAnswer: -2*i**3 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 683107387?\nAnswer: 599, 1140413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + 0?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -2. Let q be 5 + 0*1\/(-4). Let v(u) = -u + 7. Let w be v(q). Is w > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 89813*t. Let m(b) = -2*b. Determine a(m(v)).\nAnswer: -179626*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a week?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*15\/(-100)*(-3)\/(-9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -464\/33405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 377, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/25)*r\/(r\/(r\/r**(7\/2))) assuming r is positive.\nAnswer: r**(-129\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 1, n: 11}. Give prob of sequence qb.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*d - 24 = 110*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - k - 1023, k = -3*k - 8. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/13032 and 25\/48.\nAnswer: 26064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2798091395 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than -12649.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wggdwkggdgkg. Give prob of picking 1 k and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 9*l - 46. Let w be b(4). Let n be 4\/10 + 96\/(-15). Let s = n - w. Put s, 2, 1 in ascending order.\nAnswer: 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-15) + (-247)\/(-5). Let u be (18\/(-12))\/((-1)\/n). Suppose -4*g + u = -3*r, g = -0*g + 2*r + 20. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3\/2 + 27850*y**2 + 445885*y\/2 + 195090 = 0. What is y?\nAnswer: -7, -1, 11148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 17 = 4*s - r, 2*r - 1 = 3*s. Suppose 4*x - s*b - 10 = -0, 0 = -2*x - 5*b - 8. Let d = 27 - 26.8. What is the second biggest value in d, x, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 10376.\nAnswer: -1\/2594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 n when four letters picked without replacement from rrrrnrrrrrnr.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-100)\/35)\/(10\/(-35)). Suppose -24 = -3*h - 5*g, 22 = h + 2*g - 5*g. Let t = h - r. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23586, 188687, 636796, 1509411, 2948030?\nAnswer: 5094151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/8, 0.4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 25*y**3 - 5*y - 18. Let s(x) = 6*x**3 - x - 4. Let a(g) = 2*b(g) - 9*s(g). Let r(n) = 2*n**2 - 1. Let d be r(-1). Give a(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*x + 42 - 213, 254 = -3*b + 5*x. Let r = b - -94. Which is greater: -2\/519 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 43*y**2 - 103*y - 159. Let m be w(-45). What is the greatest common divisor of m and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178785 is divided by 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 16 = 3*o, o + 4*o = -4*z + 26. Let n = o + -18. Let f = n + 20. Solve 3*h - 18 = -5*c, 3*c = -0*h + h + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 1000 = 2*j. Let l(y) be the second derivative of -47*y**3 - y**2 + 9*y. Let c be l(-1). What is the highest common factor of j and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 21*r**2 - 22*r - 4. Calculate t(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 4*a = 114, 4*a + 0*a - 4 = 0. Suppose 0 = 5*y - 5*l - 5, 40*y = 39*y - l + 9. Calculate the remainder when t is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qnqqqiiqzbqqnnbzinqt. Give prob of picking 2 n and 1 q.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - -1.34. Let y = 1.3 - j. Which is the nearest to 1? (a) -4 (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -67*f**7\/210 + 29*f**4\/24 + 2446*f**3\/3 - 2*f**2 - 140. Find the first derivative of a(g) wrt g.\nAnswer: -268*g**3 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**4 + 80721*c**3 - 2666196*c**2 + 23275392*c - 20689920 = 0.\nAnswer: -26940, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 190 + -191. Which is the second biggest value? (a) 4\/31 (b) q (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 35*j + 1. Let c(x) = 107*x + 2. Determine -2*c(y) + 7*v(y).\nAnswer: 31*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - u + 4. Let z = -8 + 11. Suppose -2*c - 4 - 2 = 0. Let k = z + c. What is l(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 652 = -4*q, -4*q - 2*x + 4*x = -652. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120002322 (base 4) to base 13\nAnswer: -35aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 3*o = 26, 2*o + 24 = -20*c + 25*c. Solve -84 = 17*n + c*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6488, -146, -6\/19 in decreasing order.\nAnswer: -6\/19, -146, -6488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 5 + -3 + (2 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 7}. What is prob of picking 1 o and 1 y?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, q: 10, l: 5, t: 1, x: 1}. What is prob of sequence qd?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -403.425 and 795955963?\nAnswer: 795956366.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 735 + -728. Calculate the highest common divisor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 68*v - 48 + (-2*v - 6*v + 0*v + 3*v)*(2 + 3 - 4) to w + s*v and give s.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = 332*z + 19602 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 26*c**2 - 385*c - 87. Does 21 divide i(39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/22 and -19\/6804?\nAnswer: 74844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**2 - 29*c - 76. What is the remainder when 6 is divided by u(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39925 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**4\/12 + 7*g**3\/6 + g**2\/2 + 5*g. Let k be b(7). Sort k, 2\/25, -4 in increasing order.\nAnswer: -4, 2\/25, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.129286km to millimeters.\nAnswer: 129286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 - 968171*c\/6 - 968165.\nAnswer: -(c + 6)*(c + 968165)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832)*1 - sqrt(832) - sqrt(832)))*6 + -5)**2.\nAnswer: -960*sqrt(13) + 119833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 143, 0, 2, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofcofqcocqfcofqo. What is prob of picking 2 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/47 and 64\/29366193?\nAnswer: 1380211071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5*-8)\/(3306\/(-33060)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 630186?\nAnswer: 630186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -466 + 470. Suppose -n*h + 110 = 5*k + h, -5*h = 4*k - 83. What is the remainder when 127 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 7010 = 2210. Calculate the remainder when z is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -98 + 83*q + 209 - 102 + 63*q - 70. What is the units digit of n(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 10. What is the nearest to 0 in l, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-4)*(-12)\/(-5). Suppose -3*g - u = 0, 3*g = -3*t + 5*g + 1753. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.9 (b) 0 (c) 0.39 (d) 0.27 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 81 = -4*v + 3*w, 2*v = 5*w + 66. Let h = v - 12. Suppose 6*n = 3*n + 24. Calculate the least common multiple of h and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6591750 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, g: 8}. What is prob of sequence gg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -6*(sqrt(84)*-2 - sqrt(84)))\/(sqrt(84)\/(-1*sqrt(7))).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z - 1)*(330 - 160*z - z**4 + 162*z + 291).\nAnswer: 2*z**5 - 4*z**2 - 1242*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 8) to base 10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 - 28*p**2 + 97*p - 107. What is the hundreds digit of k(17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 3*n**2 + 3*n - 1. Let o be z(-4). Suppose 0*s - o = -s, -r + 94 = -4*s. What is the remainder when r is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73893401 to the nearest integer?\nAnswer: 8596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 556 and 2.\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 284601281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -7. Suppose -y*r = -3*r - 11. Suppose -o + 21 + r = 0. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0398 and 0.1.\nAnswer: -0.00398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 299239 - -17?\nAnswer: 299250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -73ca0c?\nAnswer: 73ca16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7454, -14895, -22332, -29765, -37194?\nAnswer: -44619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16038 or -18245?\nAnswer: -18245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 327 + 11. Let h = 338.000143 - p. What is h rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: a67471 (base 12) to base 16\nAnswer: 280fd5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 32. Let m = p - -448. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u + 34. Let x be z(12). What is the units digit of (-1)\/x*(0 + 496\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -33 (b) 4 (c) -4 (d) 2\/3 (e) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 5. Let n(f) = -4*f - 3*f + f**2 - 18 + 10. Calculate the smallest common multiple of n(k) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:06 AM?\nAnswer: 694","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 4776624433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4255*s - 13870*s + 6839*s in the form k + y*s and give y.\nAnswer: -11286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*l**3 + 5*l**3 - 6*l**3 - 3*l**2 + 0*l**3 in the form g*l**2 + o*l + i + c*l**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 819134 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 10*i**2 + 11*i. Let w be f(11). Let t = -191\/7 - -27. Which is the nearest to w? (a) 3 (b) 0 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h + 1. Let k be x(1). What is the tens digit of 2 + (-28)\/k + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 + 15 = 2*z. Suppose 19 - z = -2*f. What is the highest common divisor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 14 - ((-94)\/8 + 9)?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*m - 15*h + 19*h, 2*m + 3*h = -15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 205222.1127 - 2.1127. Let a = o + -205222.30118. Let j = 2.3 + a. Round j to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Suppose 0 = n*i - 4*d + 4, 3*i + 5*d - 32 = -i. Suppose i = o - 12. Solve o = r + 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/3)*h)**37*(h*h*h*h**(-1\/2))\/h*h**0 assuming h is positive.\nAnswer: h**(527\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -126, -2273, -5820, -10767?\n\"Answer: -700*v**2 - 47*v + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -21. Let c = -50 - -51. What is the greatest common factor of c and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 29*v**2 - 80*v - 51. Let h be w(-26). Let u(g) = 4328*g**2 - 8*g + 7. Is u(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bff when three letters picked without replacement from ccfbbfccfcqq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 97*l + 1. What is the remainder when r(1) is divided by (1 + (-44)\/(-6))*(9 - 6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -306*w + 1. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66374 and 1194732?\nAnswer: 1194732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 + 415. Suppose -4*d - 3*t = -c, 12 = -d - 5*t + 101. What is the remainder when d is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 - (4 + 48). Let l = -51 - x. Solve l*p + 4 = 5*i, p = -0*i - 3*i - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 42877800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -7 + 12. Suppose -11*u = -7*u + 5*a - d, 2*a + 1 = -u. Solve 0 = -w - v - 5, -u*w + 4*v = v - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 4745781503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + ((sqrt(125) + -1)*-2 - sqrt(125)) + -6*(sqrt(125) + -1) + -4 - (-3 + sqrt(125)*2 + 4)*2)**2.\nAnswer: -240*sqrt(5) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*m**4 + 63 + 71 - 141 - 2*m**4 + 0*m**3 + 0*m**3 + (-m + 0*m + 2*m)*(-2*m**3 + m**3 - 4*m**3).\nAnswer: -50*m**4 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 7*d**2 - 2*d. Let l(z) = z**3 - 17*z**2 + 28*z + 32. Calculate the smallest common multiple of l(15) and v(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 1812, 2, 36 in descending order.\nAnswer: 1812, 36, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 2}. Give prob of picking 1 m and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40817?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1810745 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2*c + 3228008, 4842008 = 614*r - 617*r - 2*c. What is r rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 15 = -0*u. Let b be 2 + (0 - 2) + 2. Solve -u*p - 3*f = 0, 0*p - 1 = -b*p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29072*a - 29072*a - 556*a**4 + a**3 - 2*a**4 - a**3 + (-2*a**3 + 5*a**3 + a**3)*(a - 4*a + 2*a).\nAnswer: -562*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/24)\/(4\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93602.32 millennia?\nAnswer: 1123227840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7150 - 13252 + 954 = -621*j + 179*j for j.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1829*i + 138311 - 354133 for i.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2*t + 14 = 0, 674*d - 677*d - 2*t - 26 = 2*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 127, 292, 513, 784, 1099?\n\"Answer: -l**3 + 37*l**2 - l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 3*z**3 - 6*z**3 - z**3 - 2*z**3 + z**3 + (-2*z**2 + 0*z + 0*z)*(3*z + z - 3*z) - z**2 - 452*z**3 + 642*z**3 + z**2.\nAnswer: 185*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 1\/3, 2, -3 in decreasing order.\nAnswer: 2, 1\/3, 2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 254, -0.2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 + 62. Suppose -57 = -x*q + 15. Calculate the lowest common multiple of q and 31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + v**5 + 2*v**5 + 3*v - 3*v - v**5 - 6*v + (-3 + 2 + 0)*(-17*v**5 + v**5 + 55*v**5).\nAnswer: -38*v**5 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h + 8*y + 68 = -19*h, -3 + 167 = -h - 24*y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2\/3, -2\/361, -0.25 in increasing order.\nAnswer: -7, -0.25, -2\/361, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052099 rounded to 7 decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g - 140 = 0. Suppose -g - 7 = -5*x. Suppose 7 = 3*y + 2*z - z, -y - 4*z = 5. Solve 16 = -x*h + y*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16 less than -160\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 2\/3, -3, -3\/4, 0, 1\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146964499.\nAnswer: 11, 13360409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = u - 18 + 12, -l + 7 = 2*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 19\/2810?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p - 3*b, 4*b - 14 = 5*p - 44. Let h(t) = t**3 + t**2 + 28*t - 11. What is the units digit of h(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -90792789.\nAnswer: 2\/90792789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 43*s + 1227. What is m(-27)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 4*q**2 - 50 + 90.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 48. Let w = 7 + -4. List the prime factors of (0 + -1)*(w - h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23\/67 + 249\/335. Sort 0.01, 2\/19, c.\nAnswer: 0.01, 2\/19, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 + 215. Suppose -a = 4*a - j. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 14 = 0. Let a = -14 + 33. Suppose 3*m - c = -3*y + 4, -m - a = -4*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (-56 - -52) - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153340 is divided by 153324?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -322, -316, -300, -268, -214, -132, -16, 140?\n\"Answer: h**3 - h**2 + 2*h - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 1:42 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41839 and 10703.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y + 7. Suppose 0 = -2*g + 3*g - 14. Let o(z) = -z - 1. Let r(a) = g*o(a) + 2*k(a). Let m(c) = c. Calculate r(m(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4707.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3\/8, -157 in ascending order.\nAnswer: -157, -2, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57761489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10171*0.2\nAnswer: -2034.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 5*m**2 + 7*m - 3. Let u be z(6). Let h(v) = 2*v - 6*v + v**3 + u*v**2 + 5*v. Let p be h(-3). What is the smallest value in 4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -5. Let n = 4.66 - 5.66. Which is the nearest to 1? (a) n (b) -0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) -1 (c) 77 (d) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7780339.\nAnswer: 7, 17, 65381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.64 * 48.89.\nAnswer: 1791.3296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n**3 + 12*n**2 - 6*n. Let s(w) = -2*w**3 - 14*w**2 + 4*w. Give -3*p(d) - 2*s(d).\nAnswer: -5*d**3 - 8*d**2 + 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -141986*y**2 - 94456?\nAnswer: -283972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s*s*s**(1\/36)\/s)\/s)*s*s*s**(-11\/3))\/(s**42\/((s*s*s**(-33)*s*s)\/s)) assuming s is positive.\nAnswer: s**(-2581\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-31 + -18 + 17).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, 3, 8, 0.\nAnswer: -2, 0, 3, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21256981734 - -0.4.\nAnswer: -21256981733.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/157 - -149\/1256. What is the nearest to -0.1 in k, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 4*d. Suppose -d*m = m - 12. Solve -m*y - 9 = 2*b - 3*b, -5*b = -5*y - 30 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**5\/60 - 5*t**4\/24 - 4*t**3\/3 + 4*t**2. Let s be i(7). Suppose 0 = -s*z + z + 85. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 1754082\/35?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -85*d**3 - 640*d**2 - 11439*d - 10821. Let c(t) = 8*t**3 + 64*t**2 + 1144*t + 1082. Let v(z) = -42*c(z) - 4*w(z). Suppose v(k) = 0. Calculate k.\nAnswer: -12, -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -19, -560, -10?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 2*s = 205. Calculate the greatest common factor of 205 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/27900 and 43\/900?\nAnswer: 27900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t + 5. Let c = 67 - 63. Let m be k(c). Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20603386*o - 11747389 wrt o.\nAnswer: 20603386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -109\/5 at most -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1227167 less than or equal to -4908673\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffwxxffwffxffff. What is prob of picking 2 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 295.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**2 + q**3 + 5*q - 8*q - 7*q**2 + q**3 + 2*q**3 - 2*q**3 + (-4*q**2 + 3*q**2 + 0*q**2)*(4*q - 3*q - 3*q) + 2*q**3 + q**3 - q**3.\nAnswer: 6*q**3 + 4*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5611 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2726, 2727, 2730, 2741, 2766, 2811?\nAnswer: 2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.7 - 8129\nAnswer: -8135.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1056847\/118 + -8956. What is the common denominator of -29\/7 and i?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6649834519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068925859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/1 + 3 - -659. Calculate the greatest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 4:19 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 935?\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 - 68992156.\nAnswer: -68992098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**12)\/(w**(-3\/8)*w))**(1\/5) assuming w is positive.\nAnswer: w**(99\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/15 + 32*r**4\/5 + 818*r**3\/5 - 121324*r**2\/15 - 42728*r\/5 + 16464 = 0. Calculate r.\nAnswer: -35, -2, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose m - 5 = -4*h, -m + i*h - 1 = -0*h. Let y = -2024\/15 - -135. Do y and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750 and 6?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 1:51 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75721052 to the power of 1\/2, to the nearest integer?\nAnswer: 8702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 4, v: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 85002.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 3, t: 3, p: 7}. Give prob of picking 1 t and 1 r.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 17*s**2 + 7*s**2)*(0 - s**2 + 0) - s**3 + s**3 + s**4.\nAnswer: 11*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/11))\/(i**1*i*i))\/(i*i*i*(i**0*i)\/i*i)**(-22))**(-5\/13) assuming i is positive.\nAnswer: i**(-4740\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 2*n - n + (2 - 6 + 2)*(-n - 4 + 4) - 4*n + 3*n + 2*n)*(-132*n + 43*n + 60*n) to j + i*n + f*n**2 and give f.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b7963 (base 12) in base 7?\nAnswer: -2024160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2 - 8 - 3*j**3 + 0*j**3 - 7*j**2 - j + 5*j**3. What is the remainder when d(5) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.4, -1\/6, 0.1 in increasing order.\nAnswer: -1\/6, 0.1, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*i**2*t**3 - 4069*i**2*t**2 - 96*i*t**3 + 7*i*t + 3*t**3 wrt i.\nAnswer: -414*t**3 - 8138*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4)\/(4\/3). Suppose 26 = g*n - 175. Find the second derivative of -n + 67 + 7*i**2 - 3*i wrt i.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2270 + -2272 + (25 - (1 - 2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 + 32\/(-6)*(-111)\/(-74) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6338 + 2584 - 328)*(0 + 0 + 2*n).\nAnswer: 17188*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (0 - 3) - (9 + 8 - 21)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {i: 1, o: 1, y: 1, f: 1, r: 2, k: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 11:05 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1072*a + 1111*a - 624 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(68) + sqrt(68) + sqrt(68)*-1) + sqrt(68))\/(-2*sqrt(144) + sqrt(4) + sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ba + c0?\nAnswer: 3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 52 - 0. Solve 5*r + 3 = u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 3*y - 3. Let j be n(-3). Let k be j\/(-15) - (2 - 0). What is the nearest to -2 in 5, k, 0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 252 = -22*z. Is (-18)\/z*2*25385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -1\/5 (c) 4 (d) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2408 + -0.2408. What is the third biggest value in q, 4\/101, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 396 + -362. Suppose 0 = 4*k + 2*x - q, -7 = -k - 0*x - x. Solve 6*g = k*g + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 14) + -2 + 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651433 is divided by 1325611.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let d be w(-1). Factor 5*b**3 + d - 16 - 25*b**2 - 7 + 2 + 40*b.\nAnswer: 5*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + (-3*(sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) - (-2 + sqrt(99))))) + -5))**2.\nAnswer: -162*sqrt(11) + 971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/2808827?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/(-4) + (-3)\/(-6). Suppose m*i - 14 = 11. Suppose -i*c = -0*c. What is the third smallest value in 3, 3\/8, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 71. Determine v(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 11)*238\/476?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 2525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 3*s - s)*(346*s - 102 + 266*s + 102).\nAnswer: -612*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvwffwfrwwvy. Give prob of picking 1 w and 1 f.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -193*r + 5888. Calculate i(31).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q - 3. Let z be c(-3). Let t(w) = 7*w - z*w + 8*w - 4. Give t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*k = 5 - 14, 4*y = 4*k + 12. Let i(g) = 96 - 96 - g**y. Let u(l) = 2*l - 9*l**2 - 3*l + l. What is u(i(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.472 - 20.524514. What is g rounded to 4 decimal places?\nAnswer: -0.0525","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltfl when four letters picked without replacement from iflftttlfiil.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/8)*h\/h**(-3)*h)\/(h**(3\/4)\/(h\/(h**1\/h))) assuming h is positive.\nAnswer: h**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -60. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47757946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*h**2 + h - 745 + 219 + 334 - 50*h**2 + 27*h**2 to j*h**2 + m + d*h and give m.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/4 + 17*q**3\/3 + 35*q**2\/2 - 27*q + 194. What is the tens digit of w(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556 divided by 19395.\nAnswer: 556\/19395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*a - 120 = 504 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = -u. Let p be (-7)\/u*(-132)\/22. Suppose -p*b + 1 + 41 = 0. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (sqrt(832) - (sqrt(832) + 1)) + -4 - (-3 + (sqrt(832) + 1)*5)) + -1)**2.\nAnswer: 720*sqrt(13) + 20881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/7496 and 101\/14408.\nAnswer: 13500296","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-30) + (-10)\/(-50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*w - 188 - 453 = 0, 1039 = 5*d - w. Let p = 219 - d. What is the remainder when 13 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 253 - 78 = 11*k - 947 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 0.6, 5, -1\/26, -2, 0.37?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - n + 15, -2*x - 9 = -5*x - 3*n. Let j(d) = -d**3 + 6*d**2 - 2*d - 1. What is j(x)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, s: 4}. What is prob of picking 2 s and 2 a?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2 and -69\/572774.\nAnswer: 572774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*p - 2*p**3 + 38*p + 3 - p**2 to s*p**2 + d*p**3 + u + t*p and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkknnnnns. What is prob of sequence ss?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1279.4 + 1279. What is the smallest value in -13\/10, 4, -0.1, j?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0*q + 1\/5*q**5 + 22*q**2 + 2\/3*q**3 + 0 - 2\/3*q**4. Solve p(a) = 0 for a.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-504))\/((2\/(-2))\/6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, -1, 7140, 2 in decreasing order.\nAnswer: 7140, 4, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/(-72)*3*-519. Is (u\/4)\/(50\/3700) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040361365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12692?\nAnswer: 2, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/7*(-239821)\/46 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 5862088 and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (15\/(-12) - (0 + -2))\/(99\/8184). Calculate the highest common divisor of 4433 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5593 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80788687 and 2723.\nAnswer: 2723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 599610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 405 - 224. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/840)\/(6\/(1*-18))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 27*u**3 - 354*u**2 + 68*u + 6. Calculate s(13).\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2711 and -2720 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 140094 = 84451. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752850041?\nAnswer: 752850041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w**3 + 3*w + 6. Let q be x(-4). Let v = q + -485. Let p(a) = a**2 - a - 2. Let c be p(3). Solve -c = -t - 3*g - 2, 4*t - v = g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:26 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 1 - 1)*(-3*p + 433*p + 85*p - 15*p).\nAnswer: -1000*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-66)*396\/(-616))\/((-3)\/21)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -359*k**3*n**3 - 7735*k**3*n**2 + 2*k**3 + k**2*n - 6990377*k*n**3 - 5*n wrt k.\nAnswer: -2154*n**3 - 46410*n**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 90, 0.35?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 44 - 12566*y**3 + 12567*y**3 + 36.\nAnswer: y**3 - 7*y + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 15*p**2 - 12*p - 26. Let d be l(14). What is the greatest common divisor of d and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y**3 + 10*y**2 + y + 15. Is u(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 10:44 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 18 + 4 + 34 = 0, -8*j - 133 = -3*j + 6*k + 7*k for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m + 12. Let i be (-39)\/(-3 - m\/2). Suppose -5*a + i = 6. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/((x*x*x\/x**(2\/5)*x*x)\/x)))\/x)**(6\/25)\/(x\/x**(1\/2))**29 assuming x is positive.\nAnswer: x**(-3529\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -8*c - 4*b + 428, -c = 3*b - 113. Let x = -9 - -17. What is the smallest common multiple of x and c?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*u - 49, 4*u = u + 3. Is 17 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22799.\nAnswer: 7, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i**2. Let z be 4085*(1 + (-2)\/5). Let d(x) = 7*x + 2451 - z. Determine t(d(n)).\nAnswer: -343*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + -1*sqrt(114))*-5)\/(sqrt(66)\/(sqrt(11) + 1*sqrt(11) + sqrt(11))) - (((sqrt(152) - sqrt(152)*-2)*3)\/(sqrt(72)*3 - sqrt(8)))**2.\nAnswer: -15*sqrt(19) - 1539\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-7)*-406*156\/1176240?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97831 - 56361. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/4*(-4)\/(-2). Let m = 2 - f. Suppose -4*j - 11 = -m. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*o - o = 159, 4*w - o + 231 = 0. Let n = 62 + w. Sort n, -11, 3 in ascending order.\nAnswer: -11, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -906 divided by 3?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -8.98. Let k = -0.12 - r. What is the nearest to 1 in k, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i + 8*x - 16 + 151 = -99, -10*i = -15*i - 5*x - 140 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 4*o = 12*d - 108, 0 = -3*d + 2*o + 84. What is the remainder when 957 is divided by d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6*d = -9. Let o be 1*5*((-18)\/5)\/d. Let i(x) = -x**2 - 6*x + 6. Let j be i(o). Solve c = -c + j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2628503365 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377308 is divided by 1377?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 - 109*i - 27. Let z be a(37). Suppose -z*k - 10249 = -56591. What is the greatest common divisor of 34 and k?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(144))\/(sqrt(12) - (sqrt(432) - sqrt(48))))\/((-2*sqrt(72))\/sqrt(12) - (sqrt(6) - sqrt(648)\/sqrt(3))).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-3\/53))**(-48)*((w\/((w*w**(1\/4))\/w))**27)**(-3\/4) assuming w is positive.\nAnswer: w**(-15183\/848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 2*b**3 - 60*b**2 + 103 + 60*b**2.\nAnswer: 2*b**3 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16\/869 - -313549\/8690. Let s = x + -4057\/120. Let w = s + 39\/8. Calculate the common denominator of -67\/10 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = l + 21. Sort 1, l, -1 in decreasing order.\nAnswer: 1, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.4857 - 0.2543. What is c rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2020940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 52837030*w + 139587586961045.\nAnswer: 5*(w + 5283703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809*t**2 + 176*t**2 - 1 + 2*t + 666*t**2.\nAnswer: 1651*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 20*d - 22*d + 15*d**2 - 30*d - 8*d - 15. Let f(x) = -15*x**2 + 40*x + 15. Let y(r) = -6*f(r) - 7*j(r). Find p, given that y(p) = 0.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*i - 104, i = -5*z + 152 + 395. Let u = -2 + 19. Suppose -4*s + u = 5*r - 3, 5*r = -20. Calculate the highest common factor of z and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2476739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 143621 (base 7) to base 11\nAnswer: 19937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/6 - 19*c**3\/6 + 8*c**2 + 2*c\/3 - 32\/3 = 0. Calculate c.\nAnswer: -1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*u**4 + 28*u**3 + 244?\nAnswer: -28*u**3 + 84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84297130 rounded to the nearest ten thousand?\nAnswer: -84300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 40\/12*6\/5. Let k = 2.0308 - 0.0308. Suppose b = -4, 2*i + 2*b - 10 = 3*b. Sort p, i, k in increasing order.\nAnswer: k, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/5 (b) -5 (c) -0.13 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -10 + (-29)\/((-957)\/324). What is the closest to 5 in 0.17, 1, -4, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3258 + 6244. Suppose 2*i - 2*p = 4*i - k, 5954 = 4*i - 5*p. What is the tens 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 30\/(-5)*(-2)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3\/2 + 105*w**2\/2 - 405*w.\nAnswer: 5*w*(w - 6)*(w + 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/3 + b. Let r(f) = f**2 - f. Let t be r(2). Let p(y) = 5*y**2 - 3*y**2 - y**t. Determine n(p(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 990?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6885 divided by 3?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 338103850 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(17) - (1 + sqrt(85)\/sqrt(5))) + -4) + -2 + (-2*(4 + sqrt(425) + sqrt(425) + 1 + sqrt(425) + 2))**2.\nAnswer: 840*sqrt(17) + 15489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -242, 1998 in ascending order.\nAnswer: -242, -1, 1998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 5, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(178759*y**2 + 14 - 11 + y**3 + 2*y - 186384*y**2 + 0*y + y**3 + 0*y + (-y + 0*y + 2*y)*(-2*y**2 + y**2 + 3*y**2)).\nAnswer: 4*y**3 - 7625*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*u - 44. Suppose 3*d = -6, 5*d + 29 = 5*t - u. Calculate the remainder when ((-84)\/49)\/(2\/(-14)) is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 5:39 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 239 - 47207*a**3 + 4*a**2 - 122.\nAnswer: -47207*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 1\/7, -0.3 in decreasing order.\nAnswer: 24, 1\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51700 and 150400.\nAnswer: 1654400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 6:46 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2216, 2224, 2244, 2282, 2344, 2436, 2564, 2734?\n\"Answer: q**3 + q + 2214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 37. Let n = h - 14. Let c = n + -5. Put 2, c, -0.4 in increasing order.\nAnswer: -0.4, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - m + 1. Let b(a) = -2*a**2 + a**2 - 2*a - 4 - 2*a**2 + a. Let i(l) = -b(l) - 2*v(l). Determine t, given that i(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 58 - -1. List the prime factors of v.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000411 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9152067 to the power of 1\/2, to the nearest integer?\nAnswer: 3025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18085 - 10898. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*w**2 - 60*w - 84*w**3 + 62*w + 100*w**2 to q*w + m*w**2 + g*w**3 + a and give g.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3026, -5560, -7600, -9140, -10174, -10696, -10700, -10180?\n\"Answer: l**3 + 241*l**2 - 3264*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + -3*53\/(-3). Let p = s - 28. Let q be (-55)\/((-12)\/(-2) - 10)*8. What is the highest common factor of q and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 + 34 = 0. Suppose -2*r - 4 + o = z, 4*r = 2*z + 4. What are the prime factors of 20\/r*6\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -2 + 0 + sqrt(125) + (sqrt(125) - -3*(2 + sqrt(125)) - (-4*(sqrt(125) + 0) - sqrt(125))))*-4)**2.\nAnswer: 3200*sqrt(5) + 200064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*d - 1152 = 31*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/15)\/(4\/1800). Let i be (20\/(-30))\/(2\/n). What is the common denominator of 31\/7 and i\/57*2\/6?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5 - 202*u**4 + 6428*u**3 - 11462*u**2 - 18093*u = 0.\nAnswer: -1, 0, 3, 37, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 55*y - 59*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**6\/2 - 153*g**5\/5 - 2025*g**4\/4 - 625*g**3 + 922. What is f in k(f) = 0?\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jiyg when four letters picked without replacement from ggijjyyyy?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 + -123. Let g = c + 32. Solve 0 = -o + 6*o - g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 2*b - 2. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1402 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-114)\/19)\/(-18))\/(4\/(-276)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*w**3 - 3*w**3 - 2*w**3)*(-w + 0*w + 6*w)*(-2 + 4 - 6)*(64 + 5 + 11) to the form b*w**4 + p*w**3 + q*w**2 + y + z*w and give b.\nAnswer: -1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 + 1)*(-3 + 3 - 2*c) - 1 + 1 + 8*c + (-c - c + 0*c)*(-1 + 4 - 5) + 4*c - c - c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 16*u**2 + 8. Let p be s(16). Suppose 3*k - p*k + 25 = 0. Let b = 0 + -1. Sort k, b, 0.\nAnswer: b, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 512 - 503. What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3210 - 15422. Let z = 10342 - s. Suppose -2*d - d + z = 0. What is d rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 25. Suppose 0 = -d + l + 6, l - s*l = 15. Let p(j) = 104*j**3 + 2*j**2 - 1. Does 35 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a322 (base 12) to base 13.\nAnswer: 80c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2410 - 2405. Let h(j) = -j**2 + 5*j + 1. Let s be h(6). Sort -4, -2, s, g in increasing order.\nAnswer: s, -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 16*k**2 + 25*k - 98. What is the remainder when 262 is divided by o(17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183736 divided by 56\nAnswer: -3281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 153917\/64 - 2405. Let n = -111\/320 - s. Find the common denominator of 13\/6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a week in seconds?\nAnswer: 16800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*d + 18, 3*k - d + 0*d - 11 = 0. Let g(s) = 107*s + 8. Let i be g(3). Let z = -10527\/32 + i. What is the biggest value in k, -0.1, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzzyyzyzyyyzzzzzyy. What is prob of picking 3 z?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -1 - (623 - 606).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b5 (base 16) to base 2.\nAnswer: 1010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 + -67 - -124) + 31 - 13.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124787903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*a + 472*a - 5122 = 270*a + 158 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 945803 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -11 + (1 - -15) + -7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3078 - 3074. Solve 0 = 4*w + u*x - 8, -5 = 5*w - 4*x + 6*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 2. Let h be n(4). Let c = -8 + h. Do -2\/9 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30745.9 (b) 1 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 2*r - 3. Let g be f(-3). Suppose -4*j + 2*j + 10 = g. Suppose -j*c + 675 = 5*t, -4*c = -4*t + 9 + 547. Round t to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15006+36\nAnswer: 15042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15868103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2 = -6. Let j(u) = u**2 - 1. Suppose 2*a + 5 = -3*a. Let v(q) = 2*q**2 + q - 2. What is a*v(r) + p*j(r)?\nAnswer: 2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 3*m**4\/20 + 3*m**3\/5 + 3*m**2\/5 - 8. Let s(z) = 0. What is z?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + 0 + 0 + -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**6\/120 - t**5\/60 - t**4\/6 + t**3\/2 + 2*t**2 + 4*t. Let w(q) be the first derivative of y(q). Determine w(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1790.8 + -1791. Which is the closest to -1.1? (a) i (b) 1\/5 (c) 0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -4. Let a(u) = u - 13. Let d be a(11). Is (d\/(-4))\/((-2)\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*f + 5*h, 0*f + 2 = 2*f - 2*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 891.5794mg to micrograms.\nAnswer: 891579.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (94\/1034)\/(333\/(-693) + 8\/14). Suppose 4 = -3*w + 1. Let l = w + 0. Sort 5, -4, l, q.\nAnswer: -4, l, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + b26?\nAnswer: b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 821, 800, 777, 752, 725?\n\"Answer: -x**2 - 18*x + 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4919525.\nAnswer: 5, 13, 15137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -31133\/5664?\nAnswer: -31133\/5664","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-123)\/105 - 6\/(-10). Let t(q) = q**2 - 7*q + 7. Let d(a) = -a**2 + 6*a - 6. Let n(z) = 7*d(z) + 6*t(z). Let o be n(0). Does m = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 10 = 14. Let i be 1539\/12 + 2\/l. Is 8 a factor of (i\/(-12))\/(1\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60136?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 4*c**2 - 7*c + 15. What is u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is a67 (base 11) in base 13?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2788607 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 34, 69, 108, 145, 174?\n\"Answer: -n**3 + 11*n**2 - n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 4 (b) -5\/6 (c) 276 (d) 0 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.888829um in nanometers?\nAnswer: 2888.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h - 17. Suppose 7 = 3*i + 2*g, -4*g - 16 = -5*i - 3*g. Let x be l(i). What is the third derivative of 6*d**2 + 8*d**2 - 13*d**2 + 4*d**x wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.6 + 24.5. Let c = -6 - -4. Let a be (c\/(-5))\/((-22)\/(-10)). Put a, g, -0.5 in increasing order.\nAnswer: -0.5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-10)*a)\/a)\/a*a**(-15\/7))\/((a*((a*((a**(-6)\/a*a)\/a)\/a*a)\/a)\/a)\/(a*a\/(a*a*a\/(a**24*a*a*a*a)))) assuming a is positive.\nAnswer: a**(146\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.1? (a) 2318 (b) -39 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 237, 64, -247, -708, -1331, -2128?\n\"Answer: -2*f**3 - 57*f**2 + 12*f + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/17 + 16414184*j\/17 + 33678179548232\/17.\nAnswer: 2*(j + 4103546)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0289975823 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 36221 - 10903. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4271 divided by 18\nAnswer: -4271\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c0cf9 - 5?\nAnswer: -1c0cfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 3) in base 6?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**2 + o**3 - 6*o - 10 + 7*o**3 + o**2 - 7*o**3. What is the units digit of r(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/157 - 635\/1099. Suppose 6*q - 3*q = -3. Is q bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7697\/2772 - 79\/63. Find the common denominator of 3\/55 and m.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/23 - 722*d\/23 + 15240\/23.\nAnswer: -2*(d - 20)*(d + 381)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:10 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 157.8 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - j + 16, -5*t - 5*j + 40 = -0*j. Suppose -76 = -t*h + 24. What are the prime factors of (-57)\/((-5)\/(h\/5))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 316 - 161. Suppose 153*g = o*g. Solve 3*v - 5*v + 2 = g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**2 - 1\/4*m**4 - 7 + m - m**3. Give o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1694 and 119636.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260 and 32.6.\nAnswer: -8476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 112412 (base 5) to base 12\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4482198 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 5*p + 2. Let t be w(-6). Suppose 0 = -3*a + t + 49. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 339 (base 11) to base 4.\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of u**7\/840 - u**6\/90 - u**5\/40 - u**3\/3 - 3*u. Let f(q) be the second derivative of g(q). Is 10 a factor of f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*p - 42 = -33*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7565352 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/8*(14 - 6018). Let c = y + -7958. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4*5951 - (-238)\/(-136) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-10))\/(1\/15). Let k(w) = 3*w**2 - 39*w + 24. Let v be k(12). Calculate the remainder when 63 is divided by (-320)\/u*v\/(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3107 + 3110. Let s(u) = 3*u - 25. Let n(h) = -h + 12. What is v*s(f) + 7*n(f)?\nAnswer: 2*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319265?\nAnswer: 5, 663853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 102 and 7?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.6 - 2.25. Let j = -11.35 + h. Let t = 10.9 + j. Is 2\/5 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*s**2 - 6*a**3 + 4*a**2*k*s**2 + 3*a**2 - a*k*s + a*s**2 - 2*a*s + 2*k*s**2 wrt s?\nAnswer: 2*a**3 + 8*a**2*k + 2*a + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6832595?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 934 + -932. What is the first derivative of 217 + 47 - 38*o**2 + 39*o**g + 15*o + 29 wrt o?\nAnswer: 2*o + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113172 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658427496 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 93.3, 11, -10411?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56*k**3*w + 13427*k**3 - 2*k**2*w + 18231814*k*w wrt k?\nAnswer: -336*k*w + 80562*k - 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzbzzbzzzbzbbzzzzz. Give prob of picking 2 z.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*h - 55*h + c + 28938, 4*h + 4*c = 57924. Is h a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-two fifths of a tonne?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobapbbbababbbbabpb. What is prob of sequence pb?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5209 - -5213. Let m = 0 - -1. Let q be (m - 0) + (0 - 0). Which is the nearest to q? (a) 2\/13 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13561.1 + 13561. What is the fourth smallest value in -7\/4, h, -3\/2, -1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.023 (b) -0.2 (c) 0.4 (d) 853 (e) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + -1)*5\/(-3). Suppose a = k*h - 599, -3*h = -2*a - 60 - 298. Suppose d - h = -4*d. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6 = l. Let g(h) = h. Suppose -5*c + 20 = -0*c. Let x be g(c). Solve x*s - l*s - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*x - 5*u, 2*u = 4*u + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 6*x - 124. Let d = x + -54. Is 0\/((-7)\/(28\/d)) - -84 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-6)\/(-27) - (171248\/72)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 50234 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1061 - -1061.4. What is the closest to 3 in k, 1, -1, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*m**2 + 3)*(-11*m**3 - 11*m**3 + m**3 + (-3*m + m + 0*m)*(-m**2 - m**2 + 4*m**2) + (3*m**2 - m**2 - 4*m**2)*(-4 - m + 4)).\nAnswer: 46*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1\/6))\/(g*g**(-11)))**(-2\/13))**(7\/11) assuming g is positive.\nAnswer: g**(-469\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 5*c**2 + 5*c + 4. Suppose -5*q - 21 - 9 = 0. Let o = 3 + q. Does 13 divide r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4385 - 4379. Calculate the lowest common multiple of r and (-2)\/3 - (-168)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 125?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j - 3. Let o be z(-2). Let r(h) = 3 - o*h**2 - 6 + 4*h**2 - 7*h. Let b be r(-6). Solve b = -3*k - 0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15)*290\/(-4). Suppose 0 = 4*z - 7 - c. Sort 0.2, -0.2, z in ascending order.\nAnswer: -0.2, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 34, 4, -10, 0.16, -1?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.8 or 1146\/767?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Let v(o) = 1 - o**2 - w. Let z(y) = y + 2. Let j(r) = -4*r - 9. Let c(f) = 4*j(f) + 18*z(f). Give v(c(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1)\/((-476)\/4284)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5777 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29083 + 29098. Solve 2*b - 10 = 2*x, 11*b - u = 8*b for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (0 + 9 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423748 + -4241701\/10. Let d = -422 - s. Let p = -0.06 - 0.1. Which is the second smallest value? (a) d (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 e when four letters picked without replacement from {f: 6, e: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3637.782 to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 793, -1\/7, -1.7?\nAnswer: 793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94921.25 millennia to months.\nAnswer: 1139055000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d - 3*d. Suppose 7*j - 183 - 300 = d. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2 times -11.3\nAnswer: 22.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1280 and 51680.\nAnswer: 413440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4 + 2\/(-4). Let t(i) = -26*i + 2. Let f be t(b). Let m = f - 38. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(252) - sqrt(252)*2 - sqrt(252))*3 - (sqrt(252) + -4 + 4 + 0))**2.\nAnswer: 12348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206, 772, 1664, 2882, 4426, 6296?\nAnswer: 8492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 4*h - 29. Suppose j = -2*j + 30. Is 6 a factor of y(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124 - -124. Suppose -305*o + 308*o - 33 = x. Solve u - 8 = -r, -3*r = u - 5 - o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144\/6 - ((-12)\/(-3) + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/7)*c*c**(5\/6)*c)\/(c**(-6)*c**1*c) assuming c is positive.\nAnswer: c**(305\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (137 + 2*m**4 - 137 + (-2*m**4 + 6*m**4 - 2*m**4)*(3 - 4 - 1))*(-1 + 1 + 9).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/111 and 61\/12171.\nAnswer: 450327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9110807 years in millennia?\nAnswer: 0.0009110807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(4\/11)*u)\/u*u\/(u*u\/(u\/(u*u**(2\/19))))*(u\/(u*u*u**(6\/7)))\/(((u*u\/(((u**(-1)\/u)\/u)\/u))\/u*u)\/u))**(-31) assuming u is positive.\nAnswer: u**(332258\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*u - 72, 11*k - 213*u + 194*u = 15*k - 456 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8 = x, 1129*f + 8*x + 20 = 1133*f + 3*x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - (0 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmfvvrxr. Give prob of sequence vx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*o + 8, -6*o + 4*z = -o + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 74 = u + 3*r, -2*u + 142 = 4*r. Let c be (-7)\/u*(-2)\/(-2). Which is smaller: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*c = 113*c - 729 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 - 9*r - 14. Let b be x(-4). Solve -2 = -4*l - b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38988114863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = 3*r - 14*g + 19*g, 4*g = -3*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 78. Determine i(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16209 = 5*f, 5*f - 16805 = 4*l - 592. Let n = -51829\/16 + f. What is the common denominator of 69\/10 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.5, -75, -5 in descending order.\nAnswer: 3\/5, 0.5, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(3) - sqrt(3))*-6)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*m + 8*m - 20, -5*s + 25 = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76880916 to the power of 1\/2, to the nearest integer?\nAnswer: 8768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4395*u**2 + 84*u**3 - 8793*u**2 + 4398*u**2)*(0*u**2 - 2*u**2 + 0*u**2).\nAnswer: -168*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 26*z - 186. Determine w(27).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*n - 139*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -29*q - 161. Calculate w(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75143.\nAnswer: 163, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*n - 6*n**3 + 251 - 3*n + 7*n**3 + 6*n**3 - 10*n - 58*n**2 wrt n.\nAnswer: 42*n - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 50, -3\/5, -0.5, 0.2, 0.94?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -381, -1451, -3563, -7065, -12305, -19631, -29391?\nAnswer: -41933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 30 = -9*y. Solve v - 2 = y*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -18\/250661 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + h + 7. Suppose 2*z = -g - 7, -3*g - 9 = 3*z - 0*g. Let s be 1*(-2)\/z*0. What is b(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/22 + 0 + (-925)\/(-55). What is the highest common divisor of 51 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 8*d + 317. Let l be i(-14). Solve 10*v = -l*v + 95 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1874000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(2 + ((-140)\/8)\/5). Solve -3*n + 0 = f for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11179 by 151.\nAnswer: 11179\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose -2*v + 12 = y*v. Suppose -3*i + 6 = -3*n, -5*n - v*i + 0 + 14 = 0. Solve 2*j - n = -7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 0. Suppose -1 = -d, -5*q + 373 = -n*q - 2*d. Let w = q - 36. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*s - 5*m - 41 = -475*s - 0*m, 0 = -4*s + 3*m + 96 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 551*o**2. Let z(v) = -2*v. Give z(b(a)).\nAnswer: -1102*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 1\/2 (b) -1\/55 (c) 1\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/6*72\/24. Suppose -2*t - q = -2403. What are the prime factors of t?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 158. Let p(y) = -6*y + 21*y + d*y**2 - 15*y. Let l(w) = -w. Calculate l(p(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 17.1767 decades?\nAnswer: 1.71767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70832*k + 45913 wrt k?\nAnswer: -70832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d - 3. Let g be p(9). Is ((-10075)\/g)\/((-5)\/(-15)) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w - 4. Let r = -6 + 1. Let x(p) = -3*p - 3 + 1 - 4*p**2 + 5*p**2. Let z(n) = r*x(n) + 3*f(n). Find the first derivative of z(j) wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 623*p - 82990.\nAnswer: -(p - 430)*(p - 193)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4697746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6984 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 903 and -8.89.\nAnswer: -8027.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4479105699 + -0.03\nAnswer: -4479105699.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/6, -0.11, 6, 59, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 97*l - 1073. Let a be h(11). Let t(f) be the third derivative of f**5\/60 + f**4\/3 + 5*f**3\/6 + 2*f**2. Determine t(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3086, 6103, 9108, 12095, 15058?\n\"Answer: -p**3 + 3024*p + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010200021100 - 202?\nAnswer: -1010200022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 198.8 - 199. Let k = -419 + 419. Sort k, u, 8.1.\nAnswer: u, k, 8.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 1\/6*i**3 + 0 - 223*i**2 - 7\/24*i**4 + 0*i. Give q(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18\/8*(-5 + 1). Let p(r) = 1561*r + 1557*r - 3111*r - 13 + r**2. Calculate p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c + 3*c + 24948 = 0. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*k**3\/2 - 10269*k**2\/2 + 10479*k - 160 = 0.\nAnswer: -160, 1\/65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3434.24 + 3539. What is j rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/389 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 6*c + 4. Let i be l(-5). Let u be (-34)\/(-8) + (-33)\/(-44). Solve -6 = -u*n + i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21984+0.4\nAnswer: -21983.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 10 = -5*j + 2, -4*j = 2*d + 10. Let y be j\/3 + (-1)\/(-3). Suppose y*o + 6 = 3*o. Solve 3*x - 5*p = 0, o*x = 4*x - 3*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 87*s - 1293. Give u(-68).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63\/2 + 31. Let f be 5\/(5\/(-4)) + 2. What is the third biggest value in 4, f, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30165 and 1321785.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from earsellrerrrerllr.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -11. Let q = -930 - -902. Let x be u\/q - (-120)\/21. Solve x*m - m - 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -122 in -1\/4, -3, -2, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78712?\nAnswer: 2, 9839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dpdddadpdddldpp?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3302*i*r**3 - 10*i*r**2 - i*r + 105*i - 10080*r**3 + 3*r - 353 wrt r?\nAnswer: 19812*i - 60480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 10:13 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -68*y + 6. Let i(d) = 391*d. Calculate i(q(n)).\nAnswer: -26588*n + 2346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*99\/(-33)*(-11)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4\/(-3) - -1). Let n be (-38)\/(-76)*10\/(-1). Let c be 12\/90*n + (-1)\/(-1). Which is greater: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/227 in 5, -3, -34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120435 or 120434?\nAnswer: 120434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120222 + 2022111?\nAnswer: 21220110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(891) + (sqrt(891) + 0)*2)*6 - (0 + sqrt(891)*-1)*-3))**2.\nAnswer: 7217100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a. Let m = -1 - -6. Let r(h) = -12*h. Let v(i) = m*r(i) - 7*p(i). Let c(f) = 3*f + 12. Let d(o) = -1. Let u(s) = -c(s) - 12*d(s). What is u(v(j))?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3368396?\nAnswer: 2, 19, 23, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**3 + 5*s**2 + 7*s. Let t(h) = -8*h**3 - 4*h**2 - 8*h. Determine -6*o(m) - 5*t(m).\nAnswer: -2*m**3 - 10*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m = 8*m + 690. Let x = m - 66. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + 1040 - 1040 + 568*c**2 + 2*c**3 - 6*c**3 in the form i*c**2 + w*c + j*c**3 + l and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 968*u**3 - 1340*u**3 + 382*u**3 - 11*u + 14*u.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-9))\/(1\/(-6)). Suppose 5*h + 3*n = h + 159, -l*h - 3*n = -87. Let u be (-16)\/(-10) + h\/(-60). Solve 0 = -o + u, 3*a + 4 = -5*o - 6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 839*m**5 - 3*m**3*u**2 - m**3 - 146*m*u**2 - 6*m + 2*u wrt m.\nAnswer: 16780*m**3 - 18*m*u**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + ((-131)\/(-393))\/((-1)\/3). Solve 2*u = -4*p - 42 + 38, m*u = -p - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 705537.8kg?\nAnswer: 705537800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1622 is divided by 1604?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 44 + (-10 - 0) + (-6 - -4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 161, 224, 287?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:45 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187074283 to the nearest integer?\nAnswer: 13678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0)*(4*g - g - 2*g) + (7 - 7 + 6*g)*(3 + 3 - 1).\nAnswer: 33*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 2. Let n be h(-8). Suppose -3*u - n*z + 5*z = -16, 7 = u + 2*z. Solve u*o = 5*v - 10, 3*o + 8 = 2*v - v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 13 (c) 0.2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6758772 divided by -3379386\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2542*w + 3335*w + 329*w.\nAnswer: 6206*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 7251165?\nAnswer: -7251160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 32 + -5 + -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2 + 38*j - 80 = 0?\nAnswer: -40, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346907 is divided by 594?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*a - 101*a = -420. What is the highest common divisor of a and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1418294\/143 less than -9919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.30654635 - -41542?\nAnswer: 41541.69345365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 4:29 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/73 or -2406.187?\nAnswer: -2406.187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7792, -31157, -70098, -124615, -194708, -280377, -381622?\n\"Answer: -7788*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 20*y**4 + 6*y**4 + y**2 + 13*y**4 + 2*y**3 to t*y**4 + d + i*y**3 + x*y**2 + o*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2214, 2068, 1828, 1494, 1066?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 191*h**3 - 3*h**2 - 3*h. Let y be f(-1). Let j = 0 - y. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*j**3 + c**3*j + 140*c**3 - 12*c**2*j - 2214617*c*j**5 + 52*c*j wrt j?\nAnswer: 6*c**3*j - 44292340*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 433586 and 2.\nAnswer: 433586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + -1373309224.7165.\nAnswer: -1373309224.4165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*14\/(-224)*8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3\/13 + 738*c**2 - 11510400*c\/13 + 11500808\/13 = 0.\nAnswer: 1, 2398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -89, -165, -267, -395?\n\"Answer: -13*h**2 - 11*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 197 + -110084?\nAnswer: -10cbba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10391836 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**3 + i. Let x(m) = -m**3 + 3*m**2 - 2*m - 3. Let h be x(3). Let a be (-14)\/18 - (-2)\/h. List the prime factors of k(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = 429. Let x be (-65)\/o*(-8)\/10. Is x at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 129 + 33. Suppose -f = -48*t + 40*t. Solve 5 = 2*c + h, h - 5 = -t*c - 0*h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-4 - -2) + 6 + -10 + -6 - -47?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 1820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23443256 (base 8) in base 12?\nAnswer: -187483a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.27 and -89505.\nAnswer: 382186.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 + -104736.\nAnswer: -104782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.09 + 6.43. Let w = x - 0.72. Let g = w + -10. What is the second biggest value in 5, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84145?\nAnswer: 5, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/4 and ((-2)\/260)\/(19656\/(-728820)) - (-8)\/(-28).\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - 2 - 3*x + 4)*(27 + 0 - 16 - 1 + 2 - 3 - 2 + 4 - 3 + (5 - 1 - 2)*(-3 + 3 - 2)).\nAnswer: -8*x + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttva when four letters picked without replacement from {v: 2, a: 6, x: 2, t: 3, g: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 326, 490?\nAnswer: 654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.1049*-764.\nAnswer: 10776.1436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1352, -2437, -3518, -4595, -5668, -6737?\n\"Answer: 2*k**2 - 1091*k - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-85)\/(-714))\/((-10)\/360*-6)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 4*z**2 - 5*z + 2. Let t be p(-5). Let h be t*3\/6*0. Is (-1 + 12 - h) + -3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/7)*k)**18)**(-2\/169) assuming k is positive.\nAnswer: k**(-684\/1183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -355, -528, -707?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3113*t - 3118*t + 4 = 3*w, 5*t = -10*w + 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + a - a)*(3 + 1 + 1) - 6*a**4 - 7*a**3 + 7*a**3.\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from dcc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*z + z + 6, -5 = 3*z - t. What is the hundreds digit of 1\/z + (-5 - 6040\/(-30))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d - 4. Find the third derivative of -d*m**2 + m**3 - 10*m**2 + 2*m**3 wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 240*i**2 - 996*i + 1008 = 0.\nAnswer: -84, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100 + -86. Calculate the remainder when u is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-20))\/((-82)\/410).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/45*35*4\/8. Suppose 23*q = 2*q + c. Suppose 5\/3*t**4 + q + 9*t**3 + 15*t**2 + 29\/3*t = 0. What is t?\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-1\/23)*s**(-1\/9))\/(s*s**(-11)\/s*s**(-11)))**(-2\/77) assuming s is positive.\nAnswer: s**(-9872\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 8924 (b) -3 (c) -0.2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 6*k**2 + 4*k**2)*(3 - 4 + 3)*(4*k - 5*k + 3*k).\nAnswer: 44*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -153, -308, -463, -618?\n\"Answer: -155*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4*(-3 + (-4)\/(-1)). Put 5, p, 6 in descending order.\nAnswer: 6, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j - 6*j)*(91*j**3 + 15*j**3 + 30*j**3 + 30*j**3).\nAnswer: -332*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2439 and 749.\nAnswer: -182.6811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 536*n + 17204. Calculate w(-32).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/33 - ((-3)\/9 - 816\/(-153)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -64442532.\nAnswer: -64442536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2048603 + -164?\nAnswer: -2048767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12138 - 10740. What is the highest common divisor of 60 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4469219?\nAnswer: 29, 154111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 221 + -112. Let g = c - 106. Suppose -g*i = -n - 4 + 2, 3*i + 13 = -2*n. Is -1\/76 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 6*r**2 + r - 3. Let a be f(6). Suppose c - 56 = -a*c. Let j = -15 + c. Which is bigger: 2\/7 or j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (-9 - -12 - 15) - (1 + 101 + 2)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**3 + 28338935*g + 19*g**3 - 28338935*g + 2*g**3.\nAnswer: 19*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.78354?\nAnswer: 0.235062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 52\/5 of a micrometer?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*d*k + 173596*b*d + 13816593*d*k wrt k.\nAnswer: -2*b*d + 13816593*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2199256334 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/9, 0.1, -16.323, -6 in increasing order.\nAnswer: -16.323, -6, 0.1, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2 + 10. Let h(x) = 2*x + 3. Calculate the remainder when 31 is divided by h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/9 - (4 + (-32)\/(-24)). Let l = 14.1 + -15. Which is the third biggest value? (a) -4 (b) 1 (c) x (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*j + 7*j**5 + 80*j + 17*j**5 wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2200.5 - -2201. Suppose 4*p = -p. What is the nearest to p in -2, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 - 2.6. Let d = -0.1 - -5.1. Let l = j - d. What is the nearest to 0.1 in -5, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 81.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thh when three letters picked without replacement from {w: 8, m: 2, t: 1, h: 5, g: 3}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 87\/7 (b) 2 (c) 1.3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -225, -231, -239?\n\"Answer: -g**2 - g - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2948 and -0.4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8027\/165 smaller than 48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 71799?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267849975?\nAnswer: 3, 5, 3571333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 288267637 to the nearest integer?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from rvvrvvvrvrrrr.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-10)*g\/(g*g**(5\/3))*g**(-3\/2)\/g**(-1\/4) assuming g is positive.\nAnswer: g**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2432825 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.72 - -31. Round m to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 467626 is divided by 503?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 247.193mg?\nAnswer: 247193000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 24)*(-22078 - 81*n + 22078).\nAnswer: -2106*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218489469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -8) + -2 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let w(s) = -s - 2. Let n(t) = -4*t - 2. Let c(b) = -2*n(b) + 7*w(b). Determine u(c(j)).\nAnswer: -j + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 279 (b) -1\/8 (c) 3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**5\/30 - 5*t**4\/9 + 25*t**3\/9 + 19*t + 2. Find g, given that z(g) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 4*p - 4*p)*(13*p**3 + 1 - 15*p**3 + 0 + p).\nAnswer: 6*p**4 - 3*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.0393*-1\nAnswer: 0.0393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3)*(-7*k + 4*k + 0*k).\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1335 - 103?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -6*g**2. Let n(l) be the first derivative of -l**2 - 11. Determine n(k(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + z - 7, -4*k - 4*z + 0*z = 4. Suppose k = i - 0*i. Suppose i*l + 2*b + b = -109, -4*l - 194 = -2*b. Find the common denominator of l and 25\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, i: 4, v: 1, m: 2}. What is prob of picking 1 v and 1 i?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29820?\nAnswer: 2, 3, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43619 or -43617?\nAnswer: -43619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 272 = -4*o - 28, 4*i + 3*o - 375 = 0. Calculate the greatest common factor of 24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y. Let d(j) = -528*j + 2. Calculate d(s) - 5*k(s).\nAnswer: -538*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105838762?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4980\/420 + (-1)\/(-7). Calculate the greatest common divisor of l and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11254 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33488)\/(-168))\/46*-15.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -518 + 516. Do m and 194 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 10*z**2 + 8*z + 4. Let i be h(9). Suppose 1 = -3*k - 4*q, 5*q = 12 - 2. What is the closest to 0.1 in 0.4, i, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1305\/114 + -3*(-2)\/(-4). Let d = -3313\/228 + h. Calculate the common denominator of d and -35\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 119?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -26*x + 1134. What is the greatest common divisor of 27 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**4\/12 - 3*f**3\/2 + 5*f**2 - 2*f. Let j be p(8). Suppose 270 = j*u + u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 4899 + 11373. List the prime factors of k.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 2*o**2 + 0*o + 0 - 1\/20*o**5 - 1\/24*o**4 + 0*o**3. What is the second derivative of j(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 5*g + 5. What is k(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 4407*s**2 + 229389*s + 224985.\nAnswer: 3*(s + 1)*(s + 53)*(s + 1415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + sqrt(3)*-1)*-4 + (sqrt(60)\/sqrt(2))\/sqrt(10) + -3*sqrt(18)\/(-2*sqrt(96) + sqrt(6)))**2.\nAnswer: 300\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*2\/4 - -1. Let x be (-66)\/(-24) + (-3)\/b. Let s = 13 - x. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2482*o + 2396*o = 946 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36185 + 0.010431.\nAnswer: -36184.989569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19.04 or -48\/61?\nAnswer: -48\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 818*g**3*l*p + 123*g**3*l + 5*g**3*p - 3*g**3 + 2*g**2*l*p + 3124*g**2*p - 39*g*l + l*p - 2*p wrt g.\nAnswer: 4908*l*p + 738*l + 30*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**3\/2 + 3*b**2\/2 - 2*b. Let i be k(7). Let p be i\/14 - 10\/(-35). Solve -p*v - 4 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10*-2*(-35)\/(-28)*-2 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1443.999999191 + 1444. Round g to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.14, -2\/17, -4 in ascending order.\nAnswer: -4, -2\/17, 1.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*a - 63*a = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 take away -7028.3?\nAnswer: 7028.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that p**5\/6 - 2*p**4\/3 - 32*p**3\/3 + 203*p**2\/3 - 203*p\/2 + 45 = 0.\nAnswer: -9, 1, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5\/6 (b) 7\/2 (c) 0 (d) 21238 (e) 4 (f) -0.5 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 0*o**3 + 0 + 0*o**4 + 7\/60*o**5 + 2*o**2 + 0*o. Let h(u) = u**2. What is g(h(n))?\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 74 - 215 = 0. Suppose i*n - 12 = 44*n. What is the third smallest value in 12, 0.4, n?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 1, q: 1, u: 2, y: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 6*q**2 + 41*q\/2 + 15.\nAnswer: (q + 1)*(q + 5)*(q + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5, 3\/7, 0, -0.3, 5.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 178606, 357245, 535902, 714583, 893294, 1072041?\n\"Answer: v**3 + 3*v**2 + 178623*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m. Let z be 7\/(-5) + 93\/(-155). Let y(u) = -85*u - 6. Let k(p) = 88*p + 4. Let g(c) = z*y(c) - 3*k(c). Determine s(g(b)).\nAnswer: -376*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3135 (base 6) to base 15\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4.6*0.6\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 8*c - 5. Let t(f) = 12*f - 8. Let r(z) = -2*z - 1. Let b be r(-3). Determine b*t(w) - 8*h(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g + 500 - 253 = 0. Calculate the greatest common divisor of 9360 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 135*t - 252*t - 10*t - 763 - 223*t - 205*t wrt t.\nAnswer: -555","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millisecond in microseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235*q**2 - 330894*q**3 + 463*q**2 + 330897*q**3 - 228*q**2.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113103322 (base 6) to base 7.\nAnswer: 23626652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {s: 3, o: 3, c: 2, p: 2, z: 6}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*i**4 + 29*i**4 - 4*i**4)*(5 + 0 - 3).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -10*i + 23. Suppose -8*x + 4*x = -q - 1189, i*x - 5*q = 1209. Calculate the smallest common multiple of 2 and x.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8018022 rounded to one dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 - 2833 + 2833 - 13*y**2 - 925*y**3.\nAnswer: -925*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 14*r**2 - 13*r**2 + 5*r in the form a + w*r**2 + s*r and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 1, z: 1, g: 3, b: 1, i: 12}. What is prob of picking 1 b, 1 s, 1 h, and 1 g?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 20. Suppose 6*l - 8*l = 6. Let t be 3\/(l\/90*-3). Calculate the greatest common factor of h and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 8*t**2 - t + 20. What is the tens digit of i(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 45.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3669 and 83121195?\nAnswer: 3669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 0)*(2*m**2 + m**2 - 4*m**2) + (-4*m**2 + 3*m**2 + 3*m**2)*(1 + 0 + 0) + 49*m**2 - 92*m**2 + 38*m**2 + (0 + 2 - 3)*(3*m**2 - 3*m**2 - m**2).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -102001 (base 3) to base 12\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - 386da0a?\nAnswer: -386da17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 220*u + 6 = -244*u, o + 3 = -4*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10674 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01326309311 rounded to 5 dps?\nAnswer: -0.01326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -19*g - 18*g**2 + 66 + 41*g**2 - 15*g**2 - 9*g**2. Does 15 divide j(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 0 - (-42 + 48).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3492353\/59056070 - -204\/30599. Find the common denominator of i and -56\/965.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 12900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1291 - 5067\/4. Calculate the common denominator of -3\/44 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42 + 38. Let d be (1 - (2 + a)) + -1. What is the third derivative of 2*p**2 - 2*p**2 + 4*p**4 - 7*p**d + 0*p**2 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.6497607 to 1 decimal place.\nAnswer: -345.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-2)*(-5 + 3). Let k = 37 + b. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 104 = 4*t, -3*i - 18 = -3*t - 123. Calculate the lowest common multiple of 42 and i.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -658*y - 670. What is j(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 1440 + 320 = 0. Let j be (-79 + z)\/((-34)\/28 - -1). What is the third derivative of -j*i**4 + 425 - 24*i**2 - 425 wrt i?\nAnswer: -1008*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -11*h. Suppose -239 = -4*d - b, h = 3*d + 4*b - 79 - 97. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(4 + (0 - 3)). Let k(s) = s + 4. Let y be k(m). What is the highest common factor of y and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1115275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198269 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14120455\/304 + -46449. Find the common denominator of -119\/760 and c.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 3. Let u be c(4). Suppose -14 + 11 = -f. Let l(k) = -k + 7. Let j be l(f). Put 5, u, j in increasing order.\nAnswer: u, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -54018550*n**4 - 272860255*n**2 wrt n?\nAnswer: -1296445200*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**2*i*r**3 + 8955*c**2*r**3 - 10*c**2*r**2 - 2*c**2 + 328*c - i*r**2 + 2*i*r + 21*r**3 wrt r.\nAnswer: -12*c**2*i + 53730*c**2 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2*n + 3*k + 22, 25 = -5*k. Suppose n*z + 29 = 143. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4b5082 (base 12) to base 11\nAnswer: -771818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-70)*7 + (-17)\/(-5). What is the second derivative of 71*l**3 - 41*l + 16*l - 220*l**p - 75*l**3 wrt l?\nAnswer: -1344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {m: 3, v: 1, j: 4}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Suppose 0 = 54*c - 56*c + 16. Let a(j) = 8*j + c + j - 8. Determine h(a(x)).\nAnswer: 162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -3.39?\nAnswer: 13.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (99\/(-5775)*(-8)\/12)\/(1\/14).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*r**3*y**3 + r**3*y + 105*r*y**3 - 17*y wrt y?\nAnswer: 60*r**3*y + 630*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 6*g + 2*g - 7*g.\nAnswer: g - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155.43 + 154. Let d = v - 84.57. Is d smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 11*z + 6. Suppose z*m = 4*m + 3*w - 5796, 2*w = 0. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**10\/(l\/(l**(1\/7)\/l)) assuming l is positive.\nAnswer: l**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 398 = 337. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((-7 - -10 - 6) + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*t - t - 10*t - 10*t + t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140691 = 32*w - 192390 - 253479. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 2*g + 2*g)*(-16 + 31 + 19) - 2*g - g + 2*g + (-g - g + g)*(0 + 3 - 1).\nAnswer: -71*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86009 and 86009.\nAnswer: 86009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = 6. Let g be 3 + -2 + (a - (-2 - 1)). Find the third derivative of g*w**2 - 35*w**2 - 3678*w + 3678*w + 18*w**3 wrt w.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 190821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*d**3 - 29*d**3 - 24*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 195*l*s + 52*l + 1 with respect to s.\nAnswer: 195*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 386.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-3*(-6*((sqrt(847) - sqrt(847)*1) + sqrt(847)) - (sqrt(847) - 1*(-1 + sqrt(847)))))**2.\nAnswer: -1097752 - 4752*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1551\/121 + (-2)\/(-11). Let j = o - 12. Let p(r) = -2*r**2 + 6*r - 3. Let x(w) = w - 1. Determine j*p(g) - 5*x(g).\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-50*r + 40*r + 39*r)*(-156*r - r**3 - 10593*r**2 + 10593*r**2) to x*r**3 + s*r + l*r**2 + a*r**4 + m and give l.\nAnswer: -4524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15328 divided by 4\nAnswer: -3832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 818368*i**2 + 303218*i?\nAnswer: 1636736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:33 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:06 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 38 - 153 - 46.\nAnswer: 2*x - 237","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 7093492344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1008 + 2009. Suppose 0 = 3*a + 3, a = -3*p - 0*a + t. Is -4 + p + (-1 - 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18798645547 from 0.\nAnswer: -18798645547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) 1 (c) -4.86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (4 + 0 + sqrt(432)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14518560 and 1330868.\nAnswer: 159704160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29767728?\nAnswer: 2, 3, 620161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5077, -9741, -14405, -19069, -23733?\n\"Answer: -4664*s - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4, 2, 148, -56, 17 in descending order.\nAnswer: 148, 17, 4, 2, 2\/3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-11 + -8) - (0 - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -8. Let g be (2 + f - -6)*(-1)\/2. Let p(w) = 12*w + 1. Determine p(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 11 + -90 + 57?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 6*k - 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14973*g**3 + g**2 + 1849*g?\nAnswer: 89838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 682, 2\/11 in increasing order.\nAnswer: -4, 2\/11, 682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1920)*-1 + sqrt(1920))\/((1*sqrt(100))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7592159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 14. Calculate the remainder when w is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + (sqrt(2) - (sqrt(2) - (sqrt(2) - (-5 + -1 + sqrt(2) + sqrt(2))))) - (sqrt(72) + 4))**2.\nAnswer: -20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4570774473 to 3 decimal places.\nAnswer: -1.457","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -228 + 871. Let h = g - 673.7. Let t = 30.6999599 + h. Round t to six dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 9*i**2 + i + 12. Calculate the remainder when 7 is divided by x(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a + 10. Let p be r(-9). Let s = -91 + p. Let u = s - -41. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-153) - (-1216)\/(-1615).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2954 divided by -2954\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12160 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -130*a**2 + 30. Let p(d) = -32*d**2 + 7. Calculate 2*m(c) - 9*p(c).\nAnswer: 28*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006805 rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 33*d + 2014. Let f be l(-61). Sort f, 3, 5, -2, 7 in descending order.\nAnswer: 7, 5, 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 658305107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 0.29 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnolihllilvlll. Give prob of sequence lih.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*i = 136. Let c = i + 16. Is ((-12)\/c)\/(2\/1893) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 6. Suppose 2*s = -n*s + 40. Let o = s - 5. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = k. Suppose 4*c + 4*i + 176 = -0*c, 5*i - 176 = k*c. Let l = c + 134. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -29, 776, -498 in ascending order.\nAnswer: -498, -29, -1, 776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:33 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 1, g: 1, p: 1, b: 1}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 48 * 0.026\nAnswer: 1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 30 = -4*q + 5*h, 16 = 2*q - 4*h. What is the remainder when (26\/39)\/(1\/39) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 - -0.129. What is u rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 8*x - 9. Let i be f(6). Suppose i*h - 1 + 10 = 0. Let o be (-14)\/(-2) - (-1 - h). Solve -o*m = 5*k + 5, k = 3*m - m + 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2165 smaller than 718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kykskkkku. What is prob of sequence sk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 30*z = -54. Solve 4*x - 3 = -5*s, -2*s = -2*x - z - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**2 - 7*r + 5. Let u be f(5). Let s = 20 + u. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -656 - -657.682. Let m = z - -0.328. What is m rounded to one decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17926*f + 527. Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 0*k + 12. Let x(b) = 0 - 4 + 5*b**2 + 2*b**2 - k*b**2. Calculate x(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00114353585 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-320)\/(-45) - -2*(-3)\/54. Let k(p) = -49*p - 2 - 108*p - g. What is the tens digit of k(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 905\/7. Let f = 32.2 - -6.8. Let n = -43 + f. Which is the closest to 3? (a) n (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 1 = -z, -160*f + 25 = -5*z - 155*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - 4*-5*sqrt(180) - sqrt(180))**2 + sqrt(180) - ((sqrt(2880) - ((1*sqrt(2880) - sqrt(2880)) + sqrt(2880))) + sqrt(2880))\/sqrt(9).\nAnswer: -2*sqrt(5) + 72000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = i - 4. Suppose -225 = -p + 5*c, 5*c - 4*c - 417 = -i*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.0851 times 17?\nAnswer: -188.4467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6264793 is divided by 799.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**2\/2 - 5. Suppose -29*y + 5*y = -288. Let t be b(y). Is t at most as big as -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3*o - 17, -33 = -5*v - 0*o - 2*o. Which is the second smallest value? (a) -5 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -35. Let x be (0 - q)*14\/(-35). Let r = x - -34. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:21 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -14\/9, 5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.4379405 rounded to three dps?\nAnswer: 40.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 0.4, 2\/3, -184, 2, -0.6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) 0.1 (c) -22.761\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23.2? (a) -2 (b) -0.5 (c) 0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 10 = g - 11 + 4, -5*o + 5 = -5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6834246 a multiple of 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 2*j**2 - j + 3. Let d(r) = r. Let n(v) = -5 + 4*v**2 - 11*v**3 - 4*v + 4 + 13*v**3 - 6. Let f(p) = -6*d(p) - n(p). What is 3*f(g) - 7*o(g)?\nAnswer: g**3 + 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279811.4 litres to millilitres.\nAnswer: 279811400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-11)*w*w\/w**(-5))**(-12) assuming w is positive.\nAnswer: w**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41886 and 7.\nAnswer: 293202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + 176?\nAnswer: 19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30519556?\nAnswer: 2, 17, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide -5 - (0 - (0 - -99 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1479*m**3 + 214*m**2 - 6. Let b(j) = 1478*j**3 + 215*j**2 - 8. Let x(d) = 3*b(d) - 4*l(d). What is the third derivative of x(c) wrt c?\nAnswer: -8892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -122 + 119 - (-3 + 1 + -5). Let q(d) = -d**2 + 3*d - 8. What is q(r)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -15ee80c?\nAnswer: -15ee808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**3 + 31741*v**2 + 1738514*v wrt v.\nAnswer: 6*v + 63482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 10*d + 6*d + 0*d.\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 + 158.1. Let y = -19 - v. Which is the closest to y? (a) -0.2 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/156)\/(5\/30*15). Let w be (2 - (-2 + 4))\/3. Suppose w = 9*l - 4*l + 25. Which is the second smallest value? (a) 1\/4 (b) 1\/5 (c) m (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13104 (base 8) to base 14\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 537 and 543981.\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805948 a multiple of 579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2098.07, 9, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**4 - 2160*r**3 + 103844*r**2 - 292200*r = 0.\nAnswer: 0, 3, 50, 487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 178 (b) -0.6 (c) -0.4 (d) 0.342\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/183150 and 17\/244200.\nAnswer: 732600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -c + 1, -5*c + 23 = z. Let w be 78\/91*28\/z. Is 7 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**6\/120 + 4*f**5\/15 + 7*f**4\/8 - 6*f**3 - 15*f**2. What is the tens digit of s(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -6.8?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-7*18\/567.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**3 + 4*h - 1 - 12*h + 9*h as t*h**3 + k*h + f + w*h**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Suppose 20 = 5*m - 5*y, 4*m - 3*y = t + 11. Suppose 0*j + 3*j = 0. Solve j*l = -m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4186\/(-91))\/((-4)\/2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iuuauaaaabai.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -9, -1, 12, 1 in ascending order.\nAnswer: -9, -1, 1, 3, 12, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 8*n**2 - n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n. Let f(g) = -18*g. Let q(t) = -3*f(t) + 10*y(t). Let d(p) = 3*p**2. What is q(d(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72.6? (a) -1\/4 (b) 0.5 (c) 3\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = -5*u. Let b be u\/(-1 - -3)*9. Let s = 15 + b. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 2 - (31 - 20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.085792 and -0.053.\nAnswer: -0.004546976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 8. Let c be -1 - 3\/(12\/(-908032)). Suppose j + 5*u = -35005, -l*j - 3*u + 87004 = c. Round j to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13005.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 31*t**3 + 28*t. Let s be 2*((3\/(-2) - -3) + -1). Let b(d) = d**3 + d. Let p(v) = s*q(v) - 2*b(v). What is the second derivative of p(i) wrt i?\nAnswer: 174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a - 4726 = -6*a + 239*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.173 - 0.673. Let m = -0.14 - -1.34. Let s = m - -1.8. Which is the closest to -3? (a) s (b) -3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o**(2\/31))\/(o**(1\/2)\/(o\/(o**(-2\/21)*o))) assuming o is positive.\nAnswer: o**(-3047\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 32*q - 29*q - 26672 = 0, 3*q - 106634 = -4*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**3\/3 + 6066. Let q(i) = -3*i**2 - i + 4*i**2 + i + i. Calculate q(t(f)).\nAnswer: 4*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*m - 186*m - 548*m + 101*m.\nAnswer: -807*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -2.6. Let r = 0.0234 - 0.3234. Put -2\/5, a, r, 5 in descending order.\nAnswer: 5, r, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3946708 is divided by 544?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 147 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.069808*-23.\nAnswer: -1.605584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522, 523, 520, 513, 502, 487, 468?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8100 and 38250.\nAnswer: 688500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9551, -9552, -9553, -9554, -9555, -9556?\nAnswer: -9557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34974?\nAnswer: 2, 3, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3480423*i**6*y - 1529*i**2 + 14*y wrt i.\nAnswer: -417650760*i**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1344 and 13020?\nAnswer: 208320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + v - 1. Let b = v + 3. Suppose i = -2, h - 3*i + b*i = 4. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3764, -7470, -11176, -14882?\n\"Answer: -3706*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/3675 and -67\/1645.\nAnswer: 172725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.25 + 6.25. Let c = 5.012 - r. What is c rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(2*z**2 + 4 - 4) + 4 - 13*z**2 - 4 - z**2 - 4*z**2 + 4*z**2 + 1695*z + 61*z**2 - 1695*z.\nAnswer: 49*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 31. Let r(b) = -b + 62. Calculate 5*i(k) - 2*r(k).\nAnswer: -3*k + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*v**3 + 1173653403115*v**2 - 187*v**3 - 1173653403115*v**2.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -63191*p - 43222639. What is y(-684)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 19 (c) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (15 + 4 + -22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12287773?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Let a(s) = -20*s**2 - 6185*s. What is a(m(i))?\nAnswer: -80*i**4 + 12370*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30, 180, 430, 780, 1230?\n\"Answer: 50*k**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57082*v - 28523*v - 28556*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((101\/4949)\/(3\/7)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:20 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 10269.\nAnswer: 2\/3423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*c - 2 + 17*c**4 - 14*c**2 + 13*c**2 + 12*c as d*c**3 + o*c + w + v*c**4 + r*c**2 and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*m = 156*m - 313*m - 60 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*r - 195 = -5*k, r - 4 = 0. Let v = k + -8. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/((-440)\/50 + 9). Is (-3)\/m - (-23345)\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 4*f - 4, -f - 9 = l - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1387, 5, -2, 0, 2 in descending order.\nAnswer: 5, 2, 0, -2, -13, -1387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 4609?\nAnswer: 460b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 2970?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 214673 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 6. Let u be (s\/2)\/(-2 + 4). What is the units digit of (-4 - -3) + 5 + u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -27372, -27377, -27384, -27393?\n\"Answer: -t**2 - 2*t - 27369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 114, 398, 952, 1866?\n\"Answer: 15*s**3 - s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*r + 147496 = 512*r + 1344*r - 114248 for r.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 6. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) + (-5)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26556 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4553*b - 2277*b - 2277*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - t - 4 = t, c - 17 = -5*t. Let l be 4\/((-24)\/(-50)) + (-462)\/66. Factor 2\/3*n**c - l + 2\/3*n.\nAnswer: 2*(n - 1)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/10)\/(2919\/70). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 * 18\nAnswer: -1.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 19*t + 6. Let l be g(19). Let i be (((-8)\/l)\/(-2))\/(40\/(-24)). Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4173, 3799, 3175, 2301, 1177, -197, -1821?\n\"Answer: -125*d**2 + d + 4297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, 2\/13, -3, 0.44 in ascending order.\nAnswer: -8, -3, 0, 2\/13, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**5 - 2*m**4 + 2*m**4 + (-m - m + m)*(m**2 - m**2 - 2*m**4) + (-m - 3 + 3)*(m**4 + 4*m**4 - 4*m**4) - 2*m**5 + 3*m**5 - 5*m**5.\nAnswer: -m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 213546776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -96*62\nAnswer: -5952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/74732628 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74\/(-40) + (6 - 4). Let s = 2\/5 - l. Let f = -1.5 + 2. Sort -2\/11, f, s.\nAnswer: -2\/11, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/29 + 35\/58. Is 17 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-250)\/12 + 7\/(-42). Calculate the remainder when 23 is divided by (m - -3)*(-3)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -3, -0.03, -4, 3.\nAnswer: -4, -3, -2\/11, -0.03, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, 0, -13, 60.\nAnswer: -13, 0, 60, 227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**4 + 17106*n**3 - 21759231*n**2 - 7484935572*n - 574381511532 = 0.\nAnswer: -146, 2997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(0 + sqrt(171)) - -5*(sqrt(76)\/(2*sqrt(4) + sqrt(4)) - (-2 + sqrt(76))))**2.\nAnswer: 290*sqrt(19) + 18004\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 8, 4, -8, 5, 2704?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((sqrt(21)\/sqrt(3) + sqrt(7))*-3))\/(sqrt(6)\/(sqrt(192) + sqrt(48) - sqrt(48) - sqrt(3))) + -5.\nAnswer: -5 - 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11550 = 46*c + 59*c. What is the greatest common divisor of 50 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/((-88)\/144) + 13. What is the second smallest value in 59, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from hggghghgggg?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + n - 2*n = 725, 0 = 2*c + 5*n - 695. Suppose 6*k - 11*k = -c. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95277 and 2158.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*u = -f - 151*u + 13, -f = -2*u + 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 39. Calculate v(13).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1792722206 divided by -2.\nAnswer: -896361103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0 = 6. Suppose -2*o + 16 = -5*u, p*u = o - 2*o - 3. Solve -o*i - 8 = -2*h, h + 9 = -7*i + 2*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/279, 8, 3, -1\/34?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = 5*g, -2*m = -3*g - 0*m + 9. Let k be 0\/(1 - 2 - g). Is 35*(k + 1 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*n + 231, -5*l = -4*n - 578 + 1646. Let u = l - -218. Solve -1\/2*v**2 - 2*v - u = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 12*n. Let h(g) = -7*g**2 - 24*g - 1. Let b(q) = -2*h(q) + 5*m(q). Let w be b(-10). What is the greatest common factor of w and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -5. Let z(s) be the third derivative of s**6\/60 + s**5\/20 - s**4\/12 - s**3\/3 + 194*s**2. Is 22 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7\/101 - -759\/9494. Let h = -195\/658 + i. Which is the third biggest value? (a) h (b) 3\/7 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8921718 divided by 426\nAnswer: -20943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 - (-739)\/(4*(-2)\/(-8)) and 740?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 3:40 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/117 + 224\/585. Find p such that -2\/5*p**5 + 0*p + s*p**4 + 2\/5*p**3 - 2\/5*p**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10129*q**6 - 23463*q**2.\nAnswer: 1215480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + (18 - 14 - -7).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 10 + 43973*l - 3 - 2.\nAnswer: 43973*l + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -14*f**3\/3 - 8. Let y(b) = 2*b. Calculate n(y(l)).\nAnswer: -56*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28633?\nAnswer: 11, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3249104365 to the power of 1\/3, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38755889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 1:04 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*h + 255 - 51 = 0, 3*o - 3*h = -198. Let w be ((-600)\/35)\/(6\/o). What is the highest common factor of w and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37147 and 605.\nAnswer: 185735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 11*i = -17*i. Let v(t) be the second derivative of t**5\/20 - t**3\/6 + 107*t**2\/2 + 2*t. What is the remainder when v(i) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 3*d + 4*d)*(6*d + 7*d - 8*d + (-2 + 2 + 2*d)*(-1 + 2 + 1) - 124 + 9*d + 124).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1698795?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iuubbbiu. Give prob of picking 2 u and 2 b.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3819, -3814, -3799, -3768, -3715, -3634, -3519?\n\"Answer: d**3 - d**2 + d - 3820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 10:24 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 - 26*p**4\/5 - 2*p**3\/5 + 34*p**2\/5 - 8*p\/5 - 8\/5 = 0. What is p?\nAnswer: -1, -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132652?\nAnswer: 2, 13, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 2*s - 1. Let j be p(2). Let y(n) = -n - 4. Let i(h) = 3. Suppose 2*m - 8 + 14 = 0. Determine j*i(d) + m*y(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d. Suppose 0 = -4*k + 9*k - 15. Let f(o) be the first derivative of 2*o**2 - o**2 + 0*o**2 - k + 2*o**2. Determine f(b(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23012 + -12?\nAnswer: 23000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**2*t**3*u - 4*m**2*t**3 + 7*m**2*t**2*u + m**2*t**2 - m**2*t*u - m**2*u - 6*t**3*u wrt t?\nAnswer: -6*m**2*u - 24*m**2 - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2622163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5\/21 - 754024*k**4\/21 - 94759955408*k**3\/21 - 3969778789957252*k**2\/21 - 19845198511337966*k\/21 + 7938610039173236\/3 = 0. What is k?\nAnswer: -125669, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 7. Let c(p) = 7*p - u*p - 2*p. Let o(t) = 149*t. Let s(d) = -1302*d. Let w(q) = -35*o(q) - 4*s(q). Determine c(w(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5 - 3. Suppose p + g = 6*p - 50, -x*g = -3*p + 30. Solve -2*l = 5*q - 8, l = 4*q - l - p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49.3 - 49. Let i be 2\/(-3) - (-2)\/(-6). Which is greater: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7355*c**2 - 17*c + 10*c + 2320*c**2 + 3*c to k + j*c**2 + u*c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.44?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.02 (b) -1 (c) -4 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -190?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 26 - 26)*(6*l + 9*l - 61*l - 8*l) to c + m*l**2 + s*l and give m.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5 + 6 + 15. Calculate the remainder when 467 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**3\/8 - 471*m**2\/8 - 4785*m\/8 + 1647\/8.\nAnswer: 3*(m - 61)*(m + 9)*(3*m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -641 + 1?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from xxxc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286568\/(-2373) + (-35)\/147.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*-1*sqrt(117))\/(-1*sqrt(81)*-5).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84121 is divided by 59.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by 25\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l - l**2)*(4 + 6 + 11)*(-8 + 3*l + 8)*(3 - 2*l - 3)*(2*l - 3*l + 6*l).\nAnswer: 630*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 - -57.15. Let b = -1.8499768 - j. What is b rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let a be (-2)\/(-3) - 0\/(-5). What is the nearest to b in a, -4, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 4*p + 7. Determine y(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 9*t + 25. Let q be -1 + 46\/(-184) + 38\/(-8). What is n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, 4.\nAnswer: -34, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/2 - 68937*x**2\/2 + 4530240*x - 149282298.\nAnswer: 3*(x - 22847)*(x - 66)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/((f\/f**(1\/2)*f)\/f)))\/f)**(-16\/7)\/(f**1)**(-20) assuming f is positive.\nAnswer: f**(148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k, -2*w + 25 = 3*w + 3*k. Suppose 3*u - 1432 = -w*b, 0 = 5*b - 2*u - 1696 + 259. List the prime factors of b.\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*m)*(3 - 4 + 2) - 2 - m + 2 - 3*m - 3*m + 4*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -331 - -2506. Let g be ((-2)\/8)\/(t\/12). Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 - 10*x. Let a be y(10). Solve -12 = 3*j - a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 3980*j - 266016. Give i(68).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-120)*-14)\/((-1239)\/118).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118401.\nAnswer: 3, 61, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 1:35 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2232 + -0.249030161\nAnswer: 2231.750969839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54519, 109040, 163561, 218082?\nAnswer: 272603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 732\/329 - 1\/94. Let d be (2\/(-28))\/((-9)\/225). Let s = d - r. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2489 and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d**2 + 14*d + 4. Let j(g) = 11*g**2 + 13*g + 1. Let c(m) = -4*j(m) + 5*l(m). What is c(-16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*o + 25*o = 15. Solve -3*t - 20 = 5*z, 4*z = -4*t + o - 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6838, -6293, -4820, -1957, 2758, 9787, 19592, 32635?\n\"Answer: 77*u**3 + 2*u**2 - 6917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**2 - 401056*d - 80450652 = 0 for d.\nAnswer: -100063, -201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, e: 1, s: 2, r: 1}. What is prob of sequence hh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60724 and 1156340?\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 847, 1909, 3407, 5347, 7735, 10577?\nAnswer: 13879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9. Let v(c) = -c**2 + 16. Let o be v(x). Suppose y = -t + 5, -3*t + o = -0*t + 2*y. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 34 + 6 = -4*z, -22 = -z - 2*x. List the prime factors of 44\/(-4 - (-50)\/z).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 978*f*w**2 + 1166*f + 2*w wrt w?\nAnswer: 1956*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43529 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 11. Let k be 3 - (9\/15 + (-51)\/(-15)). Let u = 2\/407 - 1646\/3663. What is the nearest to k in -5, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 685 and 29455.\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4908 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0473 and 9609141.\nAnswer: 9609140.9527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21146 minus -80.68?\nAnswer: -21065.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -222378*x**2 - 170647 wrt x.\nAnswer: -444756*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 1912, 4327, 7708?\nAnswer: 12055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 3 - (-1)\/(1\/1). Let j be i*86\/(-120) + (-1)\/(-3). Let z = 272 - 273. Which is bigger: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 11) in base 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q + 7. Let u = 267 - 149. Let x(a) = 236 - u - 6*a - 115. What is -4*c(k) + 9*x(k)?\nAnswer: -2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b**2 + 25*b + 2*b - 14*b + 5*b**2 + 18*b as p*b + u + l*b**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 4\/165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/5)\/((-5)\/(-25)). Calculate the greatest common divisor of 5 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17278 and 28362?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.187 + -12.813. What is the closest to 1 in o, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86047 is divided by 28668.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2*j*k**3 - 4028*b**2*j*k - 2402*b**2*k**3 - b**2*k**2 - 2*b*k**2 - 2*j*k**2 wrt k?\nAnswer: -24*b**2*j - 14412*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 13 - (-632 + 671 + 17 + -1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13\/8887?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:37 PM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -518*p. Let r(q) = -57*q + 79*q - 23*q. Calculate r(x(y)).\nAnswer: 518*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 36*c**3 - 3*c**2 - 7*c - 2. Let d be m(-2). Let i = d + 292. Solve -x + i = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/25)\/(-1))\/(6\/40).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27800 is divided by 3285?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -6*s. What is the third derivative of s*k**6 + k**2 + 7*k**5 + 193*k - 3*k**5 - 211*k - 4*k**6 wrt k?\nAnswer: -480*k**3 + 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -91.16.\nAnswer: -455.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115759, 925884, 3124759, 7406758, 14466255, 24997624, 39695239?\n\"Answer: 115729*k**3 + k**2 + 19*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -i + 2*w + 4, -19 = -4*i + 5*w. Suppose 5*m + 9 = -3*d, -16 = 5*d + 5*m - i. Let n be 3*(d + 199\/3). Round n to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 10:24 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7071477 to the nearest integer?\nAnswer: 2659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**8\/120960 + m**7\/15120 + m**6\/4320 - m**5\/30 + 4*m**2. Let j(y) be the third derivative of p(y). What is k in j(k) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alal when four letters picked without replacement from ljljalaalaja?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/5968 and -97\/163374?\nAnswer: 1306992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9475 + 0.8475. Which is the third biggest value? (a) -5 (b) 0.06 (c) -32 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 1. Let t be -1*(2\/1)\/2. Let m be z(t). List the prime factors of (3 + -17)\/((-3)\/m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72516408827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54.5 + 54. What is the smallest value in k, -10, -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1757 - 1853 = 16*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -13*v + 90 + 38 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 12) to base 15\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 608607?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289799384 and 224.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -7, -0.4, -1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 45*s + 552 = 0. What are the prime factors of s?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38740 divided by -10.\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 8 = 3*z. Let l be (2\/6)\/((-1)\/(-9)). Differentiate -z*o + l + 2*o - 2 wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 15) in base 13?\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -81798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -216 - -291. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6311870 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = -265297 + 265192 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20910 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18ab5 - -1?\nAnswer: -18ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Let c(y) = 5 - 2 + 3*y + f + 0. Let z(x) = x + 1. Determine -2*c(u) + 5*z(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 5*r = 65, -4*z - 441*r - 12 = -445*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 18. Let q be n(-20). Solve -8 = 4*s - 4*l, 5*s + q*l = s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/32 and 13\/(585\/6) - (-2242)\/(-14340)?\nAnswer: 7648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, c: 3, q: 3}. Give prob of picking 2 c.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 8, 38, -6, -5, -2 in ascending order.\nAnswer: -23, -6, -5, -2, 8, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s + 17. Let w(r) = 3*r - 9. Determine -4*b(l) - 7*w(l).\nAnswer: -l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -519804, 4, 8 in ascending order.\nAnswer: -519804, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -9\/4*z**3 + 3\/8*z**4 + 21\/8*z**2 + 9\/4*z - 3 = 0?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/48 and 19\/26610626.\nAnswer: 638655024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 15108?\nAnswer: 30216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, n: 7}. What is prob of picking 2 n and 2 x?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/10)\/((-30)\/250).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -5*v - 2*x + 35, -4*x = -4*v + 28. Solve 3*r = 5*f - 6, v = -3*r + f + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -55042, -55019, -54994, -54967, -54938, -54907, -54874?\n\"Answer: q**2 + 20*q - 55063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4460647 and 37.\nAnswer: -165043939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2686885 to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*p + 5*h + 16, -4 = 2*h. Let y = p + 3. What is the remainder when 19 is divided by (2 - y)*8\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57079716.\nAnswer: 2, 3, 103, 46181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5439*r + 5433. Give y(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-66)*(-12)\/18*6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 - 28*z**3\/3 + 35*z + 2360. Calculate i(-28).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m - 12. Let v be d(-3). Suppose -t + 88 = v*t. Calculate the remainder when t is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3317186 divided by 53503?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -9554767 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-112 + 36*a**2 + 112)*(27 + 28 - 5 + 2 + 1 - 5 + 1 - 4 + 4 + (1 + 3 - 2)*(-3 + 0 + 1)) to z*a**2 + w*a + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaogggiiaiu. Give prob of sequence aigg.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -j + 45, -5*f = -2*j - f + 30. Let v(k) = 5*k**3 - 2*k**2 + 2*k + 2. Let w(t) = 60*t**3 - 25*t**2 + 25*t + 25. Give j*v(s) - 2*w(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 1)*(-29 + 29 - 4*m) + (2 - 2 - 1)*(-m + 0*m + 3*m))*(2*m**2 + m**2 + 0*m**2)*(4*m**2 - m**2 + 0*m**2).\nAnswer: -90*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4492 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(91) + sqrt(91)*-1)*1 - (sqrt(91) - (5*sqrt(91)*-2 - sqrt(91)) - sqrt(91)))\/(-5*sqrt(112)*-1) + 5)*-5)**2.\nAnswer: -275*sqrt(13)\/2 + 11573\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-5)\/(20\/136). Let j = c - 19. Suppose -5*i = -r - j, 4*i + r = 5*r. Sort i, 2, -3 in decreasing order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210179 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27991*g**3 - 221*g**2 - 27*g wrt g?\nAnswer: -167946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/618 and -55\/2?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028371301 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57122449*r**2 - 4866*r - 26917 wrt r.\nAnswer: 114244898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640396770.\nAnswer: 2, 5, 127, 277, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581663?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2587 = -4*u - 4*g + 3373, -2*g = 0. Suppose 8*s + 546 = u. Let i = 11 - -13. What is the remainder when s is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 94 = 70 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 14813.\nAnswer: -592520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1. Let u(g) = g**2 + 2*g + 47. Calculate 3*h(c) + u(c).\nAnswer: c**2 + 2*c + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10960897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 361919207 less than 0.2?\nAnswer: -361919206.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**3 - 108*s - 127*s + 0*s - 533*s - 150*s**5 wrt s.\nAnswer: -3000*s**3 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 + (-1 - (-477)\/45). Suppose -16*t = -l*t - 24. List the prime factors of (4 - 3 - t) + 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010111 + -100?\nAnswer: -100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2760 - -1680. Let f = 60 + 18. What is the remainder when 53 is divided by (-4)\/(-26) - n\/f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143915 (base 10) to base 13\nAnswer: -50675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-3 - -2) + 5 + -5. Is a less than or equal to 1\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335 (base 7) to base 8.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40542858.\nAnswer: 2, 3, 17, 47, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9.7 (b) 2 (c) -5 (d) 0.4 (e) 0.11 (f) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25373981*y + 284490755 with respect to y.\nAnswer: -25373981","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 717, 718, 719?\n\"Answer: o + 716","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -937, 2\/5, -3\/8 in ascending order.\nAnswer: -937, -3\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/3 + ((420\/(-6))\/(-10))\/((-21)\/(-18)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - a = 2902, -4*t - a = 1040 - 4907. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -7\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 1 + 0*f + 71*f**3.\nAnswer: 71*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.1. Let j = 189830 - 379663\/2. Which is the second smallest value? (a) f (b) -0.1 (c) -10 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 76 + 22. Solve -5*n - 11 = p, -4*n = 5*q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x**2 + x. Let j be s(-1). Let i = -13 + j. Let u = 6 - i. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 207\/23 + 103\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-2*5\/((-20)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1227?\nAnswer: 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*c**5*w - 2*c**5 + 3*c**4 - c**2 + 65*c*w - w wrt c.\nAnswer: 4020*c**2*w - 120*c**2 + 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**4 + 236*s**3 + 4968*s**2 + 42768*s + 116640 = 0.\nAnswer: -18, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {t: 6, j: 2, g: 2, z: 1, d: 3, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 1127 = 842. Let o(y) = 6 + v*y - 180*y + 0. Calculate o(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 + 489 - (-2 - -56)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -5*q + 17, 8*x = 9*x + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**6\/180 - 5*f**3\/6 + 27*f**2\/2 + 193*f. Let v(i) be the second derivative of c(i). Let t(s) = -s. Determine v(t(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccxx when four letters picked without replacement from {c: 2, x: 5, v: 9}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.06537 millennia in years?\nAnswer: 91065.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d - d**2 + 0*d**2 + 2*d**2 + 3. Suppose 18 = 2*w - 5*w. Let q be (-14)\/w - (-2)\/3. What is b(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301222 (base 4) in base 16?\nAnswer: -1c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p, 849078 = 4*y + 3*p - 263322. Round y to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1682*j - 1682*j + 2*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 4 (c) 2971\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20*2\/4 - (5 - 4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 1409670.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-210))\/((12\/28)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674*a - 46128 = 30876 for a.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 40 = 3*r, 3*d + 27*r - 28 = 32*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-3 + -46) - (99 - -2) - 3?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 6*t**2 - 7*t - 2. Let k = -2 + 2. Suppose -4*m - 16 = 2*y, -3*m - 5*y - 4 - 1 = k. Determine n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 10:26 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -54, -144, -282, -474, -726, -1044, -1434?\nAnswer: -1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 6 = g + n, 32 = -3*g - 2*n. Suppose -2*i - 2 = 0, -2*j - 3*i = 40 - 707. Let c = j + g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -k. Let i be (-10)\/35 + (-200)\/(-14). What is the remainder when (-750)\/(-35) + (-6)\/i is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (28\/(-70))\/((-1)\/(-30)). Let n = m - -17. Suppose n*s = -2 + 157. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -1 - 4810*g**3 + 4*g - 5*g + 4805*g**3. Give b(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5040)\/26460 - (-2177)\/9114.\nAnswer: 3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Sort 4, 5, g in increasing order.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y = 71*y + 33. Let l = -1\/2 + 3\/14. Which is the third biggest value? (a) -0.5 (b) l (c) -1 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 7*x = -9, z - 3 = 5*x - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(3 + (sqrt(208) - (sqrt(208)*2)**2*1 - (2*sqrt(208))**2*-3) + 0 + (sqrt(208) - (3 + sqrt(208) + sqrt(208) + sqrt(208)*-1))).\nAnswer: 60*sqrt(13) + 24960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 1 + -5 - 637\/(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1403\/12 - 6\/(-72). Suppose 115*h - w*h + 47 = 5*l, h - 3*l - 7 = 0. Put h, -16, -1 in increasing order.\nAnswer: -16, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1 (c) -3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/17 + 12*i**3\/17 + 16*i**2\/17 - 12*i\/17 - 14\/17 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 351*u - 300*u = 11985. Calculate the greatest common divisor of u and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 19, -15, -69, -149?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -4293, 10?\nAnswer: -4293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/2 or 8301\/128?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve n = 3*n + i + 9, -153 = 2*n - 3*i - 156 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1328\/13 - -102. Let z = -2.01 + 1.81. Which is the biggest value? (a) z (b) 0.06 (c) x (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = m. Suppose 2 = -x, -4*s + 5*x = 90 + m. Let a be (s\/(-5))\/(4\/20). Solve 5*j + 3*g = -a, g = -5*j + 2*g - 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.579*0.13\nAnswer: 0.07527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 38 = 4*v + 4*d, 4*d - 14 = -v. Let x(g) = g**2 + 6*g. Let m be x(v). Is 5 a factor of (-21)\/(m + -3 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27314560271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -7 (b) -16 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*y**2 + 13*y**2 + 9*y**2 - 2*y + 20*y**3 as n*y**2 + o*y**3 + m + z*y and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69553.\nAnswer: 11, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(7)*-2) - sqrt(96)\/sqrt(216))\/((sqrt(8) - sqrt(32)\/sqrt(4)*3 - sqrt(8)) + (sqrt(8) - sqrt(48)\/(sqrt(6)*1))).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2028*m**3 + 8*m**2 + 2*m + 1364. Let u(b) = -b**3 + 4*b**2 + b + 2. Let p(f) = -l(f) + 2*u(f). Differentiate p(r) with respect to r.\nAnswer: 6078*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Suppose 0 = -y - 4, -2*t + 0*y = 4*y + 20. Sort -1, d, t in decreasing order.\nAnswer: d, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*y - 360*y - 139*y = -82*y - 1383 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205 = -205*h - 5*l, 178 = -h + 4*l - 169 - 194 + 515 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -825, -1780, -2937, -4374, -6169, -8400, -11145, -14482?\n\"Answer: -13*c**3 - 23*c**2 - 795*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 7:16 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 5, -0.2, -1, 2\/103, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -221 + 372. Let y = 67 - 63. Suppose 3*l = -4*f - 23 + 162, -y*f = -l - s. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37408 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b + 5. Suppose 5*h + 4*y - 200 = 0, 0 = -2*h - 4*y + 3*y + 77. Suppose 4*t = 7*k - 3*k + h, -5*k = 3*t + 21. What is p(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7258 is divided by 501.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -150, -197, -252, -315, -386, -465?\n\"Answer: -4*d**2 - 35*d - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2cb2a2 - -4?\nAnswer: 2cb2a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p. Let b(u) = 81*u**2 - 24*u. What is t(b(k))?\nAnswer: 81*k**2 - 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l + 120*l - 28888 = 0. What is the remainder when l is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1, 30?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 416677017 divided by 138892339\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -2*x**6\/15 - x**5\/12 - 5*x**4\/24 + x**3\/6 - 195*x**2. What is the remainder when 543 is divided by m(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2 = p. Suppose 0*l - 8 = -4*l. What is the first derivative of c**p + 6*c**l - c**2 + 2 wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25262 + -4?\nAnswer: 25258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12566 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (133 - 146) + (8 - 2) + 29\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20215 + 20215 - 1418078*w**2.\nAnswer: -1418078*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**47*(j\/j**(-1\/2)*j*j*j)\/(j\/(j*j**(-5))*j)*(j*j**(-2\/5)\/j)**(2\/97)*(j**(2\/3))**(17\/7) assuming j is positive.\nAnswer: j**(959647\/20370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j - 138 = -174 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 441, 3020, 7477, 13812, 22025, 32116?\nAnswer: 44085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5563 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 21 = -4*t, 5*t - 13*s - 24 = -9*s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*c = 23*c + 16, -22 = -5*t - 4*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -34 + (-111 - -105).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -2*z + 238. What are the prime factors of z?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3*w + 840, 9*x + 5*w - 1450 = 4*x. Let m be (-3)\/(-6) + x\/6. Let d = -27 + m. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/(-8))\/(7\/(-84)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - t - 4657 + 4666, 0 = z + 2*t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3750)\/250 + (51\/(-6))\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 10. Let u be s(-4). Let n be 44\/(-12) - (-4)\/u. Let y(g) = 3*g - 9. Let a(x) = -x - x + 5 + 0. What is n*y(j) - 5*a(j)?\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.9+-4918553346796\nAnswer: -4918553346796.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 6*sqrt(66)*-1)\/(4*4*sqrt(6)).\nAnswer: -5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10823958 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, c: 3}. What is prob of picking 1 c and 2 v?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1512 and 127\/1296.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1086688 = -271*t + 89*t + 788276. Does 32 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19285417*k**5 - 15*k - 535775 wrt k.\nAnswer: 385708340*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 830991 or 830992?\nAnswer: 830991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136165369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -187 times -5?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-14)*(-8)\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/9 - 13*p**2\/9 - 52*p\/3 - 28.\nAnswer: (p - 21)*(p + 2)*(p + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30875869 is divided by 656933.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -1, 5, -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h - 2 + 0*h**2 + h**2 + 13*h**2. Let l be (1 - 1\/3)*3. Is n(l) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 2*s + 4. Let y be v(-3). Let m = y + 3. Solve m*i + 17 + 2 = 3*j, -i - 26 = -5*j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.81 + 24.8. Let w = g + 0.9. Let t = 0.109981 + w. Round t to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.7972798 to 1 dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -27, -18, 7, 54?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2 - 3 + 2 - 19*t. Let l be z(1). What is the units digit of 3\/l - (-86)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001453733 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -79*f**2. Let i(c) = 78*c**2. Calculate 3*i(z) + 2*m(z).\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 797 - 797 - 4*h**2. Let t(w) = -4*w**2 + 2*w. What is -3*c(u) + 4*t(u)?\nAnswer: -4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1478 and -0.2913.\nAnswer: -430.5414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfddjdjjfjjxjjldj. Give prob of sequence jl.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -7*r + 8. What is the least common multiple of k(0) and 61?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 5*h - 12 = 0, b + 543 - 519 = 5*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 + 45*w**2 - 1371*w + 16924. Calculate q(12).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29842345.\nAnswer: 5, 13, 459113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 18.07. Let d = q + 0.63. Let m = -0.7001 + d. Round m to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3 + 2 - 6 + 2 + c. Let d be p(1). Determine g, given that g**2 - 10*g**3 - 2*g**2 + 2*g + 10*g**d - 4*g = 0.\nAnswer: 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 320 - 184 - z - 162 in the form n + w*z and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 - 5*h**3 + 12*h**3 + (6*h**2 - 3*h**2 - 2*h**2)*(5 - 5 - h) - 3*h**3 + 0*h**3 + 2 + h**3 as a*h + y + s*h**3 + f*h**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 64 in decreasing order.\nAnswer: 64, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 b when four letters picked without replacement from {c: 1, e: 1, m: 7, b: 4}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.354, 3, 0, -12\/61, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -133*v**6\/40 + 3427*v**3\/6 - 1872*v**2 - 1. Differentiate i(p) wrt p.\nAnswer: -1197*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -69. Sort 0, 1.3, p in descending order.\nAnswer: p, 1.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*y**3 + 7*y**3 + 39*y**3)*(1 + 3 - 2) + 5*y**3 + 2*y**3 - 4*y**3 to w*y**2 + k*y**3 + b*y + m and give k.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + x - 130 = 0, -5*y - 44 = 2*x - 208. Calculate the remainder when 272 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 19 = -31. Let d(c) be the third derivative of -1\/24*c**4 - 5*c**2 + 0*c + 0 + 0*c**f. Let l(o) = o. Determine l(d(x)).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 5:37 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1189702 and 59556.\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4205248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + 0.1. Let y = t + 0. Sort -0.3, 0.3, y in ascending order.\nAnswer: -0.3, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 37\/2*w**2 - 70*w - 1\/3*w**3 - 248. Factor k(g).\nAnswer: -(g - 35)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65741167 to the power of 1\/2, to the nearest integer?\nAnswer: 8108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 1. What is f(-10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*p + 17. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6493 = 5*u, -7*d - 5*u + 8110 = -2*d. Suppose -2*m - 503 - d = 0. Is 0 - 6\/(24\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21246 or -828560\/39?\nAnswer: -21246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -2003, -2, 0.84?\nAnswer: -2003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-12524)\/4 - 3. Let c = 25037\/8 + z. Calculate the common denominator of -40 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**3 - 49*b**2 - 2*b - 43. Is o(27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3)\/(-3 + 4). Suppose 0*y + 3*y - 5 = -4*h, 2*y + 12 = 5*h. Let t be (-48)\/9 + y\/(-3). Sort t, u, -3 in increasing order.\nAnswer: t, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.74 - 5. Let i = c + 0.16. What is the third smallest value in -0.4, 0.7, i?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Solve w*r = -0*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(170)*5 - sqrt(170))*-5)\/(sqrt(110)\/(sqrt(44)*-4)).\nAnswer: -320*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 2679.540541 to the nearest 10.\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -291 - -308. Let b = 40 - 98. Let f = w - b. Calculate the remainder when f is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/304 and 111\/190.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.2 - 7.137. Let l = 0.237 + n. Let d = -1.2 + 1. Sort -2\/7, d, l in ascending order.\nAnswer: -2\/7, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 37. Let s be v(14). Calculate the greatest common divisor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.061 + 1.0119. What is x rounded to 3 dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 - 44*x**2 + 800*x\/9.\nAnswer: -2*x*(x - 2)*(x + 200)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10089162217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 f when two letters picked without replacement from nnnfnik?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -2 (c) -97 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 157 (c) -1 (d) -2\/5 (e) 5 (f) 0.1 (g) -0.23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72619083 and 26811?\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 6:12 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (140*a + 365*a + 211*a)*(3 - 6 + 0)*(2 - 3 - 1) to c + l*a and give l.\nAnswer: 4296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b8 (base 14) to base 5.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7752311770?\nAnswer: 2, 5, 7, 110747311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1655594164 to the power of 1\/2, to the nearest integer?\nAnswer: 40689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.638 + -34.388. Which is smaller: -3\/56 or v?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*t + 404, 3*t - 62 - 94 = -2*a. Suppose 8*z = -6*z + a. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 271892*w + 2019. Let x(a) = -673*a - 5. What is 5*q(t) + 2019*x(t)?\nAnswer: 673*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlllcslsmsmmsmssms. What is prob of sequence msl?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d**3 + 10*d**3 - 3*d + 3*d.\nAnswer: 23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1293710, 2587240, 3880770?\nAnswer: 5174300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*f = 31*f - 60*f + 5995 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 8:42 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*u + 8*u + 229 = 0, -3*u = -3*m + 696. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 4\/25, 3\/7, 0.3, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1)\/(64\/256). Let n(p) be the third derivative of 2\/3*p**3 + 0*p + 0 + 6*p**2 - 1\/60*p**5 + 1\/8*p**g. Suppose n(r) = 0. What is r?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 + 724*g + 720 = 0.\nAnswer: -180, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + 3*j**3 - 5*j**3 - 3*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q*q**(-1\/8)*q)\/q)\/q)\/(q\/q**(-1\/9)))\/(q*q*(q*q**(-9)\/q)\/q*q*q*(q**(2\/17)*q)\/q*q))**(-2\/25))**(-2\/87) assuming q is positive.\nAnswer: q**(4463\/665550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-10)*(-80)\/(-416). Which is the third biggest value? (a) 4 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 74 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 9.95189 meters?\nAnswer: 9951.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 295689673.887.\nAnswer: 295689673.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -263 + a8?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l**2 - 2 + 7*l**3 - 4*l**2 - 3*l**2)*(4*l + 4*l - 6*l) + l**4 - l**4 + 3*l**4 to the form s*l**4 + v*l**2 + n*l**3 + x + w*l and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - o. Let u(d) = 3*d. Let z(t) = -3*p(t) - u(t). Let n(x) be the second derivative of x**3\/3 - 13*x. Give n(z(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -0.5 (b) -4 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41549623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69\/4 (b) 1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*k + 36073, 9506 = r + k - 2519. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2869208.2 and -120?\nAnswer: 2869328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 11. Let c(p) = p + 1. Let l(d) = -4*c(d) - s(d). Let z be l(-5). What is the greatest common factor of z and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -603, -1072, -1759, -2742?\nAnswer: -4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*k - 4*k**3 + 5*k**3 + 4*k)*(3*k - 4*k + 3*k).\nAnswer: 2*k**4 - 94*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*k**2 + 28*k - 28*k.\nAnswer: 83*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 21 + 19 = 0. Let z = s + -4. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17700 divided by 1475\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 2*m - 10530*m**3 + 10531*m**3 + 0*m - 534*m**2 in the form a*m + x*m**3 + h + b*m**2 and give b.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 6\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5492.\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.2 + 1.2. Let g = z - -23.6. Put 2, g, -4 in decreasing order.\nAnswer: 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1003\/1890 - -11\/270. Factor 0*v + 0*v**3 - k*v**2 + 2\/7 + 2\/7*v**4.\nAnswer: 2*(v - 1)**2*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**3 + 8*k**2 + 6*k + 28. Let b(w) = -2*w**3 - 8*w**2 - 7*w - 27. Let x(z) = 6*b(z) + 5*d(z). Is x(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59453.4 + 59490.39935. Let x = 23 + 14. Let w = v - x. Round w to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 0.1126 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*x - 271*x + 22438 = 1144*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {k: 1, y: 1, b: 1, d: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 62*y**2 + 0*y**3 - y - 62*y**2.\nAnswer: 15*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 3\/7, -7, -5 in decreasing order.\nAnswer: 3\/7, -5, -7, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/((-6)\/(-24)). What is the second derivative of w*u + 11*u - 5*u**2 - 7*u wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**3 - 13*h**2\/2 + 6*h. Suppose 5*z - 16 = 3*z. Is a(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -149 + 197. Suppose -8*o + 72 - p = 0. Solve -v - 19 = o*u - 5*v, 23 = -5*u - 2*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 2:26 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*k - 1 + 2 - 2*k - 2 + (2 + 3 - 4)*(-k - k + k) - k + 3*k - 3*k - 2 + 4 + k + 0*k - 7 + 7 - 3*k.\nAnswer: -8*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43735 - 25011. List the prime factors of a.\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1957 + 1956. Is 2\/11 at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440870543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**5\/270 + 19*n**4\/54 + 32*n**3 + 2*n**2 - 29*n - 1. Factor r(x).\nAnswer: -2*(x - 54)*(x + 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*q + 2, -6 = 3*b + 5*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 800 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:44 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -8227, 5 in descending order.\nAnswer: 5, 2, 1, -8227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**2*w**3 - 4*k**2*w**2 + 49*k*w**6 + k*w**4 + 5*k*w**2 wrt w.\nAnswer: 12*k**2 + 5880*k*w**3 + 24*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-90)*6\/(-8). Let l be (-4)\/(-30) + 10 + 1824\/(-180). Are j and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 60. Solve 0 = f*q - 9 + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 3*d**2. Suppose 2*w = 3*w + 4*k - 21, -3*w + 13 = 2*k. Let a(b) be the third derivative of -b**5\/60 + 2*b**2. What is w*r(o) - 3*a(o)?\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 83 + -78. Suppose -c*n + 7*n - 6 = 0. Solve -n*x - 4 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 613\/5 (b) -2\/5 (c) -16\/5 (d) -1 (e) -1\/6 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*j - 10, -2*k + k + j + 7 = 0. Let v = -2 + k. Suppose -v*n - 15 = -5*n. Which is the nearest to 1? (a) 2\/3 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77.8 - 78. What is the closest to -1\/3 in -1\/9, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:05 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) - sqrt(7920)*6)\/(6*sqrt(11)*-6).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 420 + 416 + 416 + 128*f - 1254 as l + n*f and give n.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 466, 4\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 58132 != -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/5 - 126*n\/5 + 1764\/5 = 0. What is n?\nAnswer: 21, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*u - 24, 4*u - 18 = 3*f - f. Calculate the remainder when 3 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226\/165 + -2\/55. Let m(k) = -k**2 + 4*k - 1. Let n be ((-3)\/(-2))\/(10\/20). Let q be m(n). Is q greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, 34, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -11.7. Let y = -3 - 0. Which is the closest to m? (a) y (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18256 divided by -2\nAnswer: -9128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - o + 28, -10 = -5*l + 2*o + 3*o. Sort 6, l, 0 in descending order.\nAnswer: 6, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/10 - 60\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47 - -52. Suppose 43 = r*g + 28. Let a(m) = m**2 - 6*m + 5. Let z be a(8). What is the greatest common factor of g and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + sqrt(1331) + (sqrt(1331) + 1 + -5 - sqrt(1331)) + -2 - (5 + sqrt(1331) + 2 + sqrt(1331) + 3 + -1)))**2.\nAnswer: 10450*sqrt(11) + 42300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*o = 646*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 51321, 2, -5 in decreasing order.\nAnswer: 51321, 7, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 189, 233, 305, 405, 533?\n\"Answer: 14*c**2 + 2*c + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -111930995 divided by 55\nAnswer: -2035109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4776*f**4 - 1145*f**3 - 97749479*f**2 wrt f?\nAnswer: -114624*f - 6870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -13*i**3 - 15*i**2 + 15*i - 11. Let q(j) be the second derivative of -j + 0 + 7\/20*j**5 + 2\/3*j**4 + 3*j**2 - 4\/3*j**3. What is -6*n(g) - 11*q(g)?\nAnswer: g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 2. Let i = 4 + -8. Let l = 3.9 + i. What is the biggest value in k, l, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(95) - sqrt(95)))\/(sqrt(5) + 2*sqrt(20)) + -4.\nAnswer: -6*sqrt(19)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 3. Let u = 7 - o. Suppose -3*h = -u*h. Round h to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 423. Suppose 0 = 7*q - 0*q - f. Let c = 88 - q. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 72. Let i be c\/(-2) - -6*(-1)\/(-4). Is i\/6 + -1*46060\/(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -273 * -25519.\nAnswer: 6966687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tccetcwecfccewetcttf. Give prob of picking 1 c and 1 w.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -137710.951 to the nearest one hundred.\nAnswer: -137700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -7*w**4 - 8*w**3 + w**2 + 5*w - 3. Let m(y) = 8*y**4 + 8*y**3 - 4*y + 4. Let v(a) = 4*d(a) + 3*m(a). Find l, given that v(l) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 28*n - 241. List the prime factors of t(34).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -7*q - 11. Let p(k) = 7*k + 10. Give -5*p(f) - 4*z(f).\nAnswer: -7*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 688919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/81*1\/(-3)*-9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 92, 1, -3216, 12 in increasing order.\nAnswer: -3216, -2, 1, 12, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 657 = 572 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357605, -357602, -357599, -357596, -357593, -357590?\nAnswer: -357587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 + -1.1. Let i = -150 - -210. Let v = 60.4 - i. What is the nearest to 2\/5 in v, c, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (0 + 0)) + (17 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 3}. What is prob of sequence ml?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3808333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 71*q - 1\/4*q**5 - 5*q**2 + 0 + 5\/2*q**3 + 0*q**4. Factor w(l).\nAnswer: -5*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -966 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in minutes?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006583 rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 8*x**2 - 2*x + 5. Let z be b(6). Suppose -5 - z = -2*c. Let u = 35 - c. Solve -y - 2*y + 3 = u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1185)\/(-235) + -5 + 7104\/(-60912)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3085014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3321702 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30805169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*g + 3, -3*o + 231 = 5*g + 204 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*z = 33*z + 456. Let v = 5471 + z. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1103 (base 5) to base 3.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -135*n - 789. Give a(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -294*o + 88465. What is c(301)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 times 0.1?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86882, -87248, -87624, -88010?\n\"Answer: -5*j**2 - 351*j - 86526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -12. Let x be (-6)\/9*y*2. What is the units digit of (x\/(-3))\/(1\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -1\/6, -1\/55 in ascending order.\nAnswer: -27, -1\/6, -1\/55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1031, 1038, 1045, 1052?\n\"Answer: 7*s + 1024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/(-2079) - (-758)\/42?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z - 3*z)*(-44*z**2 - 23*z**2 - 33*z**2).\nAnswer: 300*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 - 1 - 9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -16. Suppose -5*t + 28 + s = 0. Let u = t - 11. Calculate the highest common divisor of 12 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3683, 7374, 11079, 14804, 18555, 22338, 26159?\n\"Answer: u**3 + u**2 + 3681*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 924131.3 millimeters to micrometers.\nAnswer: 924131300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59456608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.168 - 0.1679. What is y rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -744, 23, 1788, 5049, 10304, 18051?\n\"Answer: 83*u**3 + u**2 + 183*u - 1011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46*c**3 + 40113*c**2*n - 591069*n + 39 wrt c?\nAnswer: -138*c**2 + 80226*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 520, -74, -11.9 in decreasing order.\nAnswer: 520, -1, -11.9, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.1. Let m = -107 - -106.37. Let f = 0.43 + m. What is the closest to p in 0.1, f, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 0, 2*k = 4*k - 3*r + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -10*h + 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5172570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -8. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z - 29. Let d(p) = -2*p - 5. What is -14*d(y) + 2*m(y)?\nAnswer: 2*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-30)\/45 + 4\/6)\/2. Suppose 0 = -y, -v + m*y - 3*y = 20. Let c be (v\/(-8))\/((-5)\/(-40)). What is the greatest common factor of 100 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 211*d\/5 + 99\/5.\nAnswer: -(d - 11)*(20*d + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let t be ((-26)\/(-3))\/(28\/(-42)). Let u = n - t. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/(-170))\/((-12)\/690).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19.03489517 - -406\nAnswer: 386.96510483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*l - 3*f - 80, 0 = -f - 16 + 15 - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -22*u**2 + 2*u. Let q(p) = -7*p**2 + 4*p. Let o(n) = -6*n**2 + 3*n. Let b(g) = 4*o(g) - 3*q(g). What is d(b(k))?\nAnswer: -198*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3\/7 - 3430620*n**2\/7 - 126927608*n\/7 - 123496992\/7 = 0.\nAnswer: -857618, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - 7*s**2 + s**3 - 3*s - 4*s - 6. Let d be b(-6). What is the units digit of (-6)\/(3 + d) + (-115)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*1\/(-3)*33\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 397*j**2 - 26*j - 12. What is u(-1)?\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -73\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -5\/6, 1\/14, 0.4 in decreasing order.\nAnswer: 20, 0.4, 1\/14, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602*y - 948 = -295*y - 295*y. Is y >= -1500\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73673972 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191 - 310. Let v = -118.92 - m. Let n = -1.92 - v. Which is the nearest to n? (a) 4 (b) 5\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -56*t. Let a(h) = 79480*h. Give a(u(b)).\nAnswer: -4450880*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*u - 92*u + 250. Let p(w) = -4*w. Let l(f) = -f**3 - 3*f. Calculate u*p(o) - 6*l(o).\nAnswer: 6*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -3\/7, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 = -4*m, 2 = -h + 3*m + 1. Solve -v = h - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19 and 10363.\nAnswer: 196897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -92, -130, -180?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -176*o**3 + 20*o**2 - 41*o - 25. Let y be f(-17). Suppose -19*k + 55781140 = y. Round k to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 - n + 6. Let w be g(8). What is the closest to 0.1 in -0.4, -5, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 - v. Let s be w(1). Suppose -4*d + 6 = -d. Differentiate s*o**2 - 9 + 5 + 2*o**d wrt o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4293 - -38639\/9. Let y be (-3)\/(-2) - (-78)\/(-52). Factor y + s*n + 2\/9*n**2.\nAnswer: 2*n*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 143 + -66. Let s = y + -62. Let j be -3 + 2 - s\/(-18). Sort j, 4\/3, -4 in ascending order.\nAnswer: -4, j, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 507?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y - 7*y + 8 - 4*y - y in the form m + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*x = 1570905 - 1579711 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.78? (a) -1\/2 (b) 3 (c) -4 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 28. Let h be d(9). Let o = h + -64. Solve -2*j = -2*u + 2*j + 12, o = -3*j - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -35. Suppose o*q - 447 = 183. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12\/17 + 7\/34. What is the closest to t in 1\/2, -1\/2, 0.16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by 7.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -18b74?\nAnswer: 18b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1041*k**6 + 796*k**2 wrt k?\nAnswer: 124920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-25)\/(-20))\/(4\/48). Let u(n) = n - 25 + o + 10. Let w(y) = -4*y**2. Let z(m) = -5*m**2. Let c(x) = -3*w(x) + 4*z(x). Calculate u(c(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + (-7)\/((-14)\/10). Let b be -1 + (-1 - (l - 8)). Solve 2 = b*p + 4*x - 4, -3*x = -5*p - 19 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 2*i + 5\/2*i**2 + 1\/3*i**3 + 0. Let z(j) = -1. Determine n(a) + 5*z(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/16604098 and -43\/404978.\nAnswer: 16604098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -4*w - 5788, -2*w + 4*i + 5764 = -6*w. Let d = w + 2476. Is 43 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - y + 4. Let f be m(-3). Let k be 6\/51 + (2088\/102)\/(-4). Sort k, f, 0.\nAnswer: k, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r - 8*r + 24 + 22 - r**2 - 18 + 0*r**2 as p*r**2 + d + w*r and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.1 (c) 4 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -741, -1669, -2969, -4641?\nAnswer: -6685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2 + 28*o**2 + 90*o**2 + 0 - 2. Let p(z) = z**2. Calculate p(w(y)).\nAnswer: 13924*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -18, -12, -0.5, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2246535 (base 9) to base 16\nAnswer: 127e83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 6 = -4*x. Suppose -3*f - 2*f = 5. Let h = 5 - 9. Put h, x, f in ascending order.\nAnswer: h, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223246490 rounded to the nearest 100000?\nAnswer: 1223200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -53 - 3051081\nAnswer: -3051134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6310395 and 27872?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 7*g, 2*a - g + 6 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5342 (base 6) in base 5?\nAnswer: 14324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 5:39 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8070?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23775004 is divided by 158?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.47 take away -106.6187944034?\nAnswer: 112.0887944034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 34194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24690310?\nAnswer: 2, 5, 19, 29, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/11)\/(((x*x\/(x\/((x\/x**(-1)*x)\/x)))\/x*x)\/x))**(6\/11))**(-32) assuming x is positive.\nAnswer: x**(3456\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*v = 488*v - 6. Put -19, 4, -4, v in descending order.\nAnswer: 4, v, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 6*a**2 - 6*a - 3. Let t be q(-7). Let s(d) = -d**2 - 12*d - 1. What is the remainder when 75 is divided by s(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 59. Let i = 60 + v. Solve -i*o**2 + 7*o**3 + 36*o - 32*o**4 + 3*o**3 + 44*o**3 + 4*o**5 + 34*o**3 = 0 for o.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Suppose v*j = 16 + 10. Calculate the greatest common factor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 1, v: 1, r: 2, e: 2, j: 1}. What is prob of sequence re?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r - 46*r - 17*r + 148*r - 10*r.\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 206.2 - 204.2. What is the nearest to b in -0.2, -18\/5, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17882 - -55.\nAnswer: 17937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/24*(2\/6 - -1). Solve k*j = -11 + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 16, w + 2*w + 4*m = 103. Differentiate -w*b + 155 - 132 + 70 with respect to b.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-6) - (10 - 8).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -16. Let a = k + 7.00000075. Round a to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 111*d**3 + d**2 - 2*d - 1. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731581000 rounded to the nearest one million?\nAnswer: 2732000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 437, -20844, -85543, -215368, -432027, -757228, -1212679?\n\"Answer: -3618*d**3 - d**2 + 4048*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -105, -155, -203, -249, -293, -335?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147165497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 166 - 90 - r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 - 224 = -41*y + 323 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -73a (base 13) to base 4\nAnswer: -103100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) + sqrt(1400)*1 - sqrt(14)) + (sqrt(1134) + sqrt(1134)*1 - sqrt(1134)))\/(3*(sqrt(7)*2 - sqrt(7)) - (sqrt(112)*-2 + sqrt(112)))*2.\nAnswer: 38*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*(o\/((o\/(o**9*o))\/o*o))\/o))\/(o\/o**(-1\/6)) assuming o is positive.\nAnswer: o**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 1520?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 10) to base 8.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.22162 microseconds to nanoseconds.\nAnswer: 49221.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 150630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 11:25 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 43, 37, 31, 25?\n\"Answer: -6*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -11) + -1 + -10 + 7 + -13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8145 in -15, 3\/2, -0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194417 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5785 - 6000 = 141*g + 5980 - 2396 for g.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 2*m + 34. Give c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + w + 4 = 0, -5*w - 1 = b - 2. Let d = 6 - 5. Let x = b + d. Solve v = -0*v + x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569384451 a multiple of 842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -6 (c) -1852 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 1985504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 3)*(-31*s**4 + 19*s**4 + 10*s**4 + 47).\nAnswer: 2*s**4 - 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 7693?\nAnswer: 768b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 561600915625 and -20.2?\nAnswer: 561600915645.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1404 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1907 (base 11) to base 13\nAnswer: 1149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2. Let r be g(0). Suppose -2*c + r = -4. Let u be ((-4)\/(-8))\/(2\/8). What is the highest common divisor of u and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5417111)\/3 + 2\/3. Let c(t) = -154923*t**2 - 2*t + 4. Let f be c(-3). Let g = b + f. Round g to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (10 + 0 + (4 - -5))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 16, 39, 82, 151, 252, 391, 574?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-10) - 39\/(-15). Suppose 30 = 3*y + 2*a + 2*a, -2*y + 9 = -a. Suppose y = f - 0*f. What is the highest common divisor of b and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t - 12. Suppose -3*y - 34 + 4 = 0. Let i be q(y). Suppose -2*f - i + 32 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -37, -3\/8, -15\/13, 77 in decreasing order.\nAnswer: 77, 3, -3\/8, -15\/13, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54651 is divided by 1569.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7617, -15535, -23453, -31371, -39289, -47207?\n\"Answer: -7918*z + 301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -4*sqrt(637)*-1)**2 + (-6*(sqrt(637) - (0 + sqrt(637))) - (sqrt(637) - ((-2*(2 + sqrt(637)))**2 + sqrt(637)))).\nAnswer: -56*sqrt(13) + 12765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**5\/20 - m**4\/6 - m**3\/3 + m**2 + 3*m. Suppose 2*g - 19 = 3*x, 115*x = 117*x + 3*g - 9. Give q(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y**3 - 5. Let t = 78 - 74. Suppose 0 = i - 0*i + t. Let j(k) = 7*k**3 - 6. Determine i*c(x) + 3*j(x).\nAnswer: -3*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31997, 63992, 95987, 127982?\nAnswer: 159977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 15 - -4) + (8 - 1) + -5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229.8 - 225.8. Sort -3, -5, f, -0.2.\nAnswer: -5, -3, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.47 (b) -3 (c) 0 (d) -4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 482.6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -3*q. Suppose h + q*h - 25 = 0. Solve 2*i - 7*i + 5*v = 0, -i + h*v - 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/30)\/((-5)\/10)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.191163 = 4350\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2 + (-28)\/35 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55103?\nAnswer: 55103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 61, 96, 133?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by 716.\nAnswer: -6\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7*10*(-6)\/(-70)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2994556.\nAnswer: -8983668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 + 3407.52?\nAnswer: 3408.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 4*a**2 + 17*a**2 - 28*a**3 - 19*a**2 + 10 + 8*a**2 to j + s*a**2 + d*a + y*a**3 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -156 + 429. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 0*s**3 - 2 - s**2 + 3*s**3 + 5*s**4 + 0 as j*s**3 + c*s**4 + d*s + v*s**2 + k and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8999 is divided by 300.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -14. Let i(b) be the first derivative of -b**6 - b**4 - 5*b**3\/3 + 38. Let o(h) = h**5 + h**3 + h**2. Let c(m) = r*o(m) - 2*i(m). Factor c(z).\nAnswer: 2*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2290*h - 4*h**2 - 10822168 + 4464*h + 6314*h + 2240*h + 3629044.\nAnswer: -4*(h - 1341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 56853 and 60665 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -491, -2047, -4665, -8339, -13063, -18831, -25637?\n\"Answer: m**3 - 537*m**2 + 48*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4711539ug?\nAnswer: 0.0000004711539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5778, -16179, -33516, -57789, -88998?\n\"Answer: -3468*k**2 + 3*k - 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c (base 13) to base 3.\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from {a: 3, y: 8}?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c - 51*c = 10*c + 1140 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 136\/(-22) + (-6)\/(-33). Let m(d) = 5 - 4*d**2 - d**2 - d**3 + 0*d + 6*d. List the prime factors of m(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -69*c + 599. Give w(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 7:49 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 5*a**3\/3 - a**2 + a + 2. Let h be j(1). What are the prime factors of ((-7)\/(-2))\/(1\/h)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + 40*r**2 - 15*r - 75. Let u(a) = 8*a**3 - 61*a**2 + 23*a + 113. Let q(x) = -7*j(x) - 5*u(x). Factor q(t).\nAnswer: -5*(t - 4)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 762425.8 kilograms?\nAnswer: 762425800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*q - q - q**2 + 2*q**2 - 3*q wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5140212623 - -3?\nAnswer: -5140212620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 20*s + 16190 = 3*h, 4*s - 10796 = -2*h. Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(198)*2 - sqrt(22)))\/(sqrt(1584) + (sqrt(1584) - 1*sqrt(1584))*3))**2.\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 5, 1, -1 in increasing order.\nAnswer: -1, 1, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10412 - -4?\nAnswer: -10403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*s + 10, -4*s = -9*s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 931 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 612439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 11:06 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**7\/105 + z**3\/6 - 5*z**2. What is the first derivative of a(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 37*f + 0*f**2 + 3*f**2.\nAnswer: -2*f**2 + 37*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526353000 divided by 35090200.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -290 + 135. Let s = h - -290. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29987930 divided by -80830\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68*(-101)\/(-5151)*6*(-9)\/(-96).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23\/2*s**5 + 0*s - 113\/2*s**4 + 0 + 0*s**2 + 5*s**3 = 0. What is s?\nAnswer: -5, 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 18*i + 186. Give w(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120990 divided by -185.\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3133005 + 3133239 = 13*k for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p + 1\/6*p**4 + 0*p**3 + 0*p**2 + 0 - 1\/20*p**5. Factor o(x).\nAnswer: -x**2*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99039 + 106541.1. Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 6 = 9. Let a = -2 - j. What is the remainder when 51 is divided by a + 1 + 21 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 20*r - 7*r - 4*w - 161, 0 = r - 35*w - 1543 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 7*v**2 - 2*v + 3. Does 27 divide n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z + 1. Let n be y(5). Let g = n - -37. Calculate the remainder when 52 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9 - 5 + 14 + 12*o. Let x(l) = -2042*l + 4084*l - 2036*l. Determine x(r(i)).\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*f**3*l**2 - 8*f**3 - 274*f*l**3 + 37*f wrt l?\nAnswer: -8*f**3*l - 822*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 11*c - 4. Let x be f(12). Suppose 153 = 7*v + 20. Suppose 3*y + 0*y + 3*j - 27 = 0, -5*j - v = -3*y. Are y and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112208.7 times 0.3?\nAnswer: -33662.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) - 22\/(-5). Suppose -2*l + 4 = -6. Calculate the lowest common multiple of 16 and 1 + s\/(4\/l).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 6 - 0. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 7:22 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -209*g - 10. Let s be h(1). Let m = s + 225. Calculate the least common multiple of m and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9798978?\nAnswer: 2, 3, 7, 181, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - z + 20 = 0, -z + 10 = -1226*r + 1227*r. Let d(f) be the third derivative of 3\/14*f**4 + 0*f + 9\/7*f**3 + 47*f**2 + 1\/70*f**r + 0. Factor d(c).\nAnswer: 6*(c + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 2.\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*k = -248*k + 1305 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*1\/(-15)*(-54)\/(-21). Suppose 0 = d - 2*a - 13, -4 = -d - 2*a - 7. Let n = -2\/279 + -544\/1953. What is the closest to n in d, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/7*(-2)\/(-4)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30601898 and 2666?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26902377 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11))**(-39) assuming f is positive.\nAnswer: f**429","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - -116. Let p = u + -78. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250308 or -854\/5?\nAnswer: -250308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/7*91\/26. What is the second derivative of -s*f - 5*f + 4*f + 12*f**3 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40477555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119.1 - -119. Put -4, -2.6, 3, u in decreasing order.\nAnswer: 3, u, -2.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 10*j**4 - 152*j**3 - 16300*j**2 - 12904*j + 3234 = 0.\nAnswer: -33, -1, 1\/5, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 - 0) + 1\/3)*3. Suppose -3*b = -p - 6, 2*p - b + i = b. Let v = -1 + 1. What is the closest to p in v, 0.3, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 13*g = 3*v - 1359, 3*v - 3*g - 1359 = 0. Suppose 0*d = 2*i + d - v, -i - 2*d = -234. Is i a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 1. Let v(l) be the third derivative of l**7\/2520 - l**5\/12 + 5*l**2. Let u(w) be the third derivative of v(w). Give -2*o(t) + 5*u(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -201030605, -201030603, -201030601, -201030599?\n\"Answer: 2*s - 201030607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -192 + -1403?\nAnswer: -1595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*x + 3*w + 4 = 0, 5*x - 3*w = 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*942713.\nAnswer: 94271.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -300682?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -182 plus 5163630.3?\nAnswer: 5163448.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 113*x + 277. Let m be q(54). Let o(y) = -3*y**2 + 10*y + 2*y**2 - 8*y - 4. What is o(m)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452733850 divided by 489442\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*c + 10*c + 5 = 0, 4*c = 3*q + 33. Let s(x) = x**3 + 9*x**2 + 3*x - 9. What is the remainder when s(q) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4763*s - 5436 + 5436 as q + l*s and give l.\nAnswer: 4763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03 or -2\/67?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/9 - 161642*m**3\/9 - 538724*m**2\/3 + 430992*m = 0.\nAnswer: -80811, -12, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 339 = 5*q, -249 = 7*q - 3*q + 5*m. Let i(h) = -20*h + 2. Let b be i(2). Let l = b - q. Calculate the remainder when l is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 107 = -98. Suppose -j = 2*l - 73. What is the remainder when 44 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -710 divided by 142?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 180 - 65. Let t = d - 116. Let g = -3.6 - -4. Which is the nearest to 0? (a) -1\/2 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(190\/(-267) + (-10)\/(-15)) and 230\/(-96) - 6\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from qqbiqllcqbil?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(3\/((-153)\/17))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5022 = -11031. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.275 + 163.618. Let x = -165 + a. Round x to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o - 2*o - 2*o)*(101 + 81 - 793 - 211) - 14*o + 61*o + o to the form u + i*o and give i.\nAnswer: 870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 + -70. Suppose -2*l + g = 5*q, l + 3*q = 56 - 1. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Suppose 0*c = l - 4*c - 18, -5*l + 24 = 2*c. Suppose -3*j + 5 = w, -3 = -4*j - 4*w - w. Solve k*g = -o + l*g + 14, -j*o + 2*g = -16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*z = -7, -5 - 5 = -4*u + 2*z. Let s(l) = l**3 - 3*l**2 + 4*l - 2. Let t be s(2). Suppose -t*k - k = -36. Solve 4*a = m - k, -u*a = a - 3*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**7\/1470 - l**6\/280 + l**5\/140 - l**4\/168 - 5*l**2. What is z in a(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 329 = -307. Calculate the remainder when i is divided by 109.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 8*d - 30, 98*d - 94*d - 12 = -4*b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 - 0.48. Let l = 8.94 - 9. Let w = x + l. Round w to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 222*q + 2789 wrt q?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 19*h**2 + 29*h + 109. Give w(17).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 154*k**2 - 47*k - 957. What is the hundreds digit of c(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2970, -5509, -7608, -9261, -10462, -11205?\nAnswer: -11484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = 9*x - 266. What is the greatest common divisor of 140 and x?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -59*r**2 + 3*r - 31. Let a(g) = -59*g**2 + 2*g - 29. Let n(t) = 5*a(t) - 4*y(t). Differentiate n(h) with respect to h.\nAnswer: -118*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 - 6*p**2 - 3*p - 3. Let x be s(-4). Let r = 147 - x. Let g = r - 8. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -123. Suppose l + 0*x + 4*x + d = 0, 4*l + 2*x - 18 = 0. Solve 0 = -2*r + 4*r + l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (294\/(-35))\/(2\/(-75)). Suppose -213 = -3*n - 5*d, w = 5*n - 4*d - d. What is the second derivative of 7*f + 66*f**4 - n*f**4 + f + 2*f**5 wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + 26 + (4 - 12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7795064786.\nAnswer: 2, 3897532393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s + 2*s)*(-643465 + 182045 + 189271 + 177614) to the form f + m*s and give m.\nAnswer: -94535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 33613?\nAnswer: 33612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 4*l**3 - l**3)*(3*l + l - 2*l)*(-3*l - 5*l + 3*l) + 0*l**2 - 2*l**2 - 41*l**5 + 84*l**5.\nAnswer: 63*l**5 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 770570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 35.9\nAnswer: -7.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2670788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -1\/2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 371680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 19*y**2 + 7*y + 22. Let u be x(-6). Solve j + 4*m + 6 + u = 0, -3*m - 13 = -j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 1, i: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 785 - 521. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69\/(4968\/(-312)))\/13\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s**2 - 11*s + 3. Let v(z) = -3*z**2 - 4*z + 1. Let l = 17089 + -17081. Determine l*v(d) - 3*t(d).\nAnswer: 3*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4944.15873 minutes to weeks.\nAnswer: 0.4904919375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3061.\nAnswer: 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 4\/16 + (-508)\/32*-2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3285469 (base 10) in base 12?\nAnswer: 1125391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21529767019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*-1))*-6)\/(sqrt(396)*2))**2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 168*(6\/(-9) + 1). Let d be 0 + (-2 - -12) + -2. What is the greatest common divisor of p and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.43736 take away -2.8?\nAnswer: 0.36264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 3, -12, -27?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -648*u**2 + 2*u**3 + 648*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 33*b + 17. Let x(w) = 13*w + 6. Let v(d) = t(d) - 3*x(d). Let l(j) = 13*j + 3. Give 2*l(z) + 5*v(z).\nAnswer: -4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2. Let l(c) = 4*c + 9. Let r(i) = -i - 2. Let p(b) = -4*l(b) - 18*r(b). Calculate p(w(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 10 = -2*j, 2*f - 14 + 4 = 2*j. Put 4, 3, 2, 32, f in ascending order.\nAnswer: f, 2, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2436 and -3.\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/4 + 87*p**2\/4 + 339*p\/2 + 378 = 0.\nAnswer: -18, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x + 10*x - x**2 - 19*x. Let h(j) = 41*j**2 - 11*j. Let v(i) = -8*i**2 + 2*i. Let w(n) = 2*h(n) + 11*v(n). Determine w(d(o)).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -29*b**2 + 3. Let q(z) = -28*z**2 + 3. Calculate -6*d(x) + 7*q(x).\nAnswer: -22*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 44*p + 11. Calculate v(2).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4035, 3844, 3517, 3054, 2455?\n\"Answer: -68*d**2 + 13*d + 4090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of 0*r**7 + r**2 - 2\/3*r**4 + 0 + 0*r**5 - 1\/28*r**8 + 0*r**3 + 0*r + 0*r**6. What is the second derivative of c(z) wrt z?\nAnswer: -240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 1 - 1 + (4*v**2 - v**2 - 4*v**2)*(v - 1 + 1) + 2*v**2 - 2*v**2 + v**3 + 2 - 2 - 5*v**3)*(1 + 2 + 4) - 1 + v**3 + 1.\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 209.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97318*b**4 + 27*b**3 + b**2 + 42800*b - 9 wrt b?\nAnswer: 2335632*b + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-460)\/(-1725))\/(420\/(-450))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -21, 1, 4 in increasing order.\nAnswer: -21, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*m + 2 + 15, -5*m + 24 = 4*c. Let h = 4 + -5. Sort h, -7, c in descending order.\nAnswer: c, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 833.2 - 833. Which is the third smallest value? (a) 17 (b) 0.1 (c) m (d) -2 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i)\/(i\/(i*i**0)*i))\/((i*i**(-1\/11))\/i*i*i\/i**(-3)*i)*(i\/(i**(-2\/7)*i)*i\/(i*i**(-6)\/i))\/(i\/(i**(-3\/2)\/i)*i**(-1\/2)*i) assuming i is positive.\nAnswer: i**(-1934\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694720?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/(g\/g**(-2\/5))*(g**(-4\/7))**18)**(-44) assuming g is positive.\nAnswer: g**(31856\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.0324\nAnswer: 0.0162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -84 (b) 1\/5 (c) 0.076 (d) -3 (e) 4 (f) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -73299*g. Let b be m(-1). Let f be b\/33 + 4\/(-22). Let j = f + -13415\/6. What is the common denominator of j and 26\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1275*l + 250*l - 327*l.\nAnswer: 1198*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*n*z - 598*n - 4680*z - 1 wrt n.\nAnswer: -2*z - 598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i + 1 - 2*i - 3*i.\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azavznnqvvxzqvaqa. Give prob of sequence nv.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:12 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006687 rounded to seven dps?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let n = -165.5 + 165.3. Let x = 3.1 + -1.1. Which is the closest to x? (a) n (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 2*t + 1. Let m be 2 + 0 - (-12)\/t. Solve 0 = b - 2, 3*x - b + m = 3*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*0*(-3)\/6. Solve j = 4*b - 3*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 185771.58987 from 0.5.\nAnswer: -185771.08987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*6\/(-21) + 16\/7. Suppose -3*f + 4*a = -9 - 16, -a = 2*f - r. Let c be (-4 + 1)*(-12)\/18. Solve f*y - 2*q - 4 = -y, 3*y + c = -q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 250 + 257 - 513 - 2*y. Calculate u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -382*o + 1778 wrt o.\nAnswer: -382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**2 - 67*f**2 + 34*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 26. Suppose -2*k + 5*x - 15 = 0, -k - y*k + 4*x - 12 = 0. Suppose 4*t - 19086 - 72914 = k. Round t to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 354*d**2 + 293*d**2 + 885*d**2 + 1017*d**2 - 588*d**2 + 2422 wrt d.\nAnswer: 3922*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 8. Let h be x(6). Suppose 0 = 2*m + 2*i - h, 3*m - 5*i - 26 = 14. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let x(u) = -228*u - 288. Let h(d) = -18*w(d) + x(d). Differentiate h(y) wrt y.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 34*r**3 - 18*r**3 - 17*r**3 - r + r**4 to q*r**3 + y*r**2 + n + t*r + v*r**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (11824\/512 + -23)*-2*26\/39?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 4*c - 26. Does 28 divide d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -360201\/26 - -13856. Let p = -1104 - -8813\/8. Find the common denominator of p and v.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 780600 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28*(-52)\/91)\/((-4)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 4 (b) 3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 245.4?\nAnswer: -245.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*g + 4*o - 92, -2*g + 32 = -5*o. Let b be (-2)\/4 - 296\/16. Let v = b + g. Solve 0 = h + v*f - 8, -2*f + 16 = -h - 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1116740 by -5.\nAnswer: 223348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, i: 7, q: 1, m: 3}. Give prob of sequence tmm.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 106 - 96 = 0. Suppose -5*y + 3*w - 5*w = 7, -u*y + w - 4 = 0. Let c be (0 - y)\/((-50)\/(-310)). Which is smaller: c or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x + 15. Let g be (-6)\/(-21) + ((-264)\/(-14))\/(-3). Let s be m(g). Solve 7 = -3*r + 4*v, 0 = s*r + 2*v - 3 + 22 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (7 - 4 - -3) - -4 - 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 17012 = 6*f - 11*f, -2*y + 3397 = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59910 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - s**4\/3 - 2*s**3\/3 - s**2\/2 - 6*s. Let n be t(5). Which is greater: n or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 3, u: 2}. Give prob of picking 3 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 28 - 21 - ((2 - 2) + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-2)*((-80)\/(-35))\/4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*w + l - 5*l, -w + 15 = -4*l. Let s = -14 - -30. Solve -w*t = 2*o - s, 17 - 7 = 5*t - 5*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5090515?\nAnswer: 5, 29, 35107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -30 + 3*w + 7*w**2 + 11 + 8 + 4*w**2. Let b(g) = -4*g**2 - g + 4. Calculate -17*b(t) - 6*z(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3481920*v**2 + 14916*v + 24. Let d(w) = -9*w**2 - 3*w + 2. Let c(x) = 4*d(x) - g(x). Let c(r) = 0. What is r?\nAnswer: -2\/933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 793, 2308, 4579, 7606, 11389?\nAnswer: 15928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 5, 2, 17\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bc5 - -4?\nAnswer: -bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 + -18)*(-76)\/12. Let i(d) = 5*d**2 - 23*d + 4 + c*d - 4*d**2. Give i(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000130269416 to seven dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) -3223 (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35574 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 8 - -14)*-11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2\/5 - 116078*z\/5 + 232148\/5 = 0?\nAnswer: 2, 58037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 260, 533, 820, 1127, 1460, 1825?\n\"Answer: w**3 + w**2 + 263*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**4\/12 + g**3\/2 + 9*g**2\/2 + 41*g + 18. Let f(w) be the first derivative of y(w). Calculate f(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {y: 3, o: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 4066?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3322*x**2 - 3062?\nAnswer: -6644*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*t**2 + 894 - 894 to h*t**2 + c + p*t and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -744*v**3 - 36*v - 10?\nAnswer: -4464*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - p - 8, u + 4*p = 38 - 42 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 v when three letters picked without replacement from {w: 2, v: 7, f: 5}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5080 - 933. What is the highest common factor of 1430 and l?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -5\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -729 by -6.\nAnswer: 243\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 0.04636456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -968976930.2 + -3\nAnswer: -968976933.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 15 = 0, 11*v + 2*x = 9*v + 102. Solve v*f = 49*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 2. Calculate k(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/503120 and 32\/11.\nAnswer: 5534320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 2*a + 10, -4*a - 33 + 11 = -5*m. Solve v + 2 = 4*n, -5*n + m*v + 13 = 6*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.5 + -17.5. Let t = 9 + g. Let f = -13.000016 - t. Round f to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6130 is divided by 304?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 1:16 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - t. Let n(m) = -7*m**2 + 2*m + 7. Let s(y) = n(y) - 6*u(y). Let w be ((-3)\/(-9))\/(2\/42). List the prime factors of s(w).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10742371, -21484748, -32227125, -42969502, -53711879, -64454256?\nAnswer: -75196633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -5.2. Let j = 2 + l. What is the third biggest value in 2\/15, j, 2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261 - 105. Let c = l - 206. Put c, 2, -3 in decreasing order.\nAnswer: 2, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.493153 meters in kilometers?\nAnswer: 0.003493153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36411982?\nAnswer: 2, 18205991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -31\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + 44. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from hhkhhhkyhkykyyhyy.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22836 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 191497356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 24 - 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.09 (b) 6 (c) 0.225016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3077759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z - 1. Let x be o(-2). Suppose 30 = 5*h - x*u, -4*h - 3*u - u = -40. Suppose -3*y + 27 = r - h*y, r = 3*y + 19. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 + 4. Let p(q) = -37 + 23*q - 28*q**2 - 47 + q**3 - 48*q. Calculate the remainder when s is divided by p(29).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80516 (base 10) to base 7.\nAnswer: -453512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 10:26 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21518281.\nAnswer: 21518281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*q**4 + 5 - 20*q**4 - 23*q**4)*(-2 + 1 + 2).\nAnswer: 12*q**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (30 - 10)) + 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-1)\/(10\/45)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -559.514 and 0.03?\nAnswer: -16.78542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -5247.\nAnswer: -5247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12316 and 3.\nAnswer: 36948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3384*y + 3393*y = 345447. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - 1 - 2\/4. Let d = 51 + -46. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2\/(-18))\/(16\/(-144))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 2*a**4\/5 + 12*a**3 + 58*a**2\/5 = 0.\nAnswer: -29, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57\/2 in 2, 0, -93?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/(-25))\/(3 + 46\/(-15)). Let o(z) = 2*z**3 - 6*z**2 + 7*z - 9. Let q be o(n). Let f = q + -88. List the prime factors of f.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.183 and -1516290?\nAnswer: -277481.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 507809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*r + 218. Calculate the remainder when 5\/15*39 + 80 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 10:09 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81182, -162617, -244308, -326255, -408458, -490917, -573632?\nAnswer: -656603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/3*14*(-35)\/1470?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13314 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 181321 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5*l = 10, -4*l + 0 = 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 4641449\nAnswer: -1392434.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 9:57 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(135\/12)*(-40)\/(-24).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*u = -129*u + 28. What is the first derivative of 9*k**4 + 42 + 9*k**4 + 0*k**4 + 67 - 19*k**u + 18*k**2 wrt k?\nAnswer: -4*k**3 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.1285 and -3.\nAnswer: 0.1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z**2 - 3*z - 5. Let j be n(-4). Suppose -5*u + j = 1. Calculate the highest common factor of 20 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(3 + 1)*3. Let a = -68 - -86. Calculate the common denominator of -41\/12 and -1 - ((-411)\/a - m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbwwbwbbxbbbbxbbb. What is prob of picking 1 w and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.2469 micrograms to tonnes.\nAnswer: 0.0000000009182469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of p**5\/20 + 2*p**4\/3 + 7*p**3\/6 + 12*p**2. What is the remainder when y(-6) is divided by 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*l**2*v**4 - 6*l**2*v**2 - 383*l**2*v wrt v?\nAnswer: 1908*l**2*v**2 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/65)\/((-4 + 5)*-24). Let v be ((-4)\/10)\/((-624)\/13270). Let d = v + o. What is the common denominator of 1\/22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 9. Let a be n(9). Suppose 3*f + 68 - 338 = a. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 127*o**2 + 491*o - 97. Determine r(-123).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4991293?\nAnswer: 4991293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 + 1484*m - 19676. Give v(13).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Suppose -20 = -5*y - 5. Let w(r) be the second derivative of 0*r**2 - r + 0 + 2\/3*r**y. Calculate n(w(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5*h\/h**12)\/((h**0\/h)\/h**4) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50604781\/84 - 4071874\/7. Let f = 20729 - z. Let h = -2059\/84 - -279\/14. Find the common denominator of f and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 119232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 2*h**2 + h + 3. Let p be i(3). Let x be p\/6*2 - -4. Suppose g + 4*t - 33 = 0, -x*t = t - 20. Solve -g = -3*r + 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 8, 0*t + t + 7 = 3*n. What is the second biggest value in 0.7, -1, -3\/4, n?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 4*r - 5, 5*h = -2*r - 2*r - 35. Let l be (-2)\/(-7) + 64\/(-224). Which is the closest to l? (a) h (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 + -51 + 151 - 76?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g*x**3 - 838*g*x**2 + 151*x**3 + 3*x**2 - x wrt x.\nAnswer: 96*g + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*y - 50, -5*l = -3*l + 4*y - 22. Suppose o + 3*a = -l, -3*o - 2*a + 2 = 8. What is the units digit of o + 6 + (0 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 4*r**2 - 24*r + 14. Let k be v(-7). Suppose -k*p = -13*p - 14300. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 133183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*i**5 + 190*i**4 - 2*i**3 - 358*i**2 + 48*i + 72 = 0. Calculate i.\nAnswer: -3, -2, -2\/5, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/4 of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 22 + 12 + 8 - o**3.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213203 (base 4) in base 10?\nAnswer: 6627","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 134805269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 56561974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 6*t**2 + 0*t**2)*(-2 - 2 + 2)*(-3 + 4 - 3).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txntntxtdtxjxtn. What is prob of sequence tn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-88)\/(-44))\/(2\/(0 - 1)). Let w be (-5 - (-39)\/10) + m\/(-2). Let g = -0.3 - 0.2. Sort g, -2, w in descending order.\nAnswer: g, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 7*h + 32 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a78982 (base 12) to base 4.\nAnswer: -230101221302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*l**2 - 13*l**2 - 26*l**3 - 9*l**4 - 5 + 12*l**2 - 21*l + 0 - 13*l**2 - l**5 = 0. What is l?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.157 - 0.043. Let x = 1.99 - -1.01. What is the closest to 3 in t, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64177.7214 rounded to the nearest integer?\nAnswer: -64178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520)*2)\/sqrt(10) - (sqrt(52) - sqrt(4212)*1))*-3)\/(-5*(-2*sqrt(100) + sqrt(100) + sqrt(24)\/sqrt(54))).\nAnswer: -9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(66)*-4)\/(sqrt(6) - sqrt(42)\/(sqrt(7)*-1)) + sqrt(121)\/(sqrt(77)\/sqrt(63)) + 5)**2.\nAnswer: 50*sqrt(11) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*w + 4 = -14, -5*g = 5*w - 15. Sort -3\/4, 4\/5, g in descending order.\nAnswer: 4\/5, -3\/4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -19, -5, 23, 71, 145?\n\"Answer: u**3 + u**2 + 4*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.95 - 0.05. Let q = 168.65 + -168. Let i = q - -3.35. Which is the smallest value? (a) 0 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 30*o**5 - 3*o**4 - 3*o**2 - 15*o. Let h(y) = 31*y**5 - 2*y**4 - 2*y**2 - 15*y. Let p(f) = 2*a(f) - 3*h(f). Find the second derivative of p(t) wrt t.\nAnswer: -660*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170077 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.08?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 0\/(-2))*1. Let o = -11 + q. Let r = o + 17. Sort r, -2, -4.\nAnswer: -4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 13*r + 1520. List the prime factors of 0\/(3 + 1) - r - -2.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-36))\/((-1)\/2). What is the closest to s in 0, 1, 48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -146.2\nAnswer: 58.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 11:56 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 26*p**2 + 26*p + 35. Let u(y) = y**3 + 2*y - 24. Let q be u(0). Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 236 - 136. Suppose -5*c = -4*k + 173, -4*k + 3*c + b = -79. Let t = -30 + k. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 2*b + 121. Solve 0 = -4*n - 2 + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38237012*p*w + 20917723*w wrt p?\nAnswer: -38237012*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 9 = 2*p + 1, 4*d = -5*p + 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4250, 4240, 4230, 4220, 4210?\nAnswer: 4200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -225.5?\nAnswer: 228.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120443?\nAnswer: 43, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66009 = 616*p - 27*p - 14766 for p.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 times -0.02?\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25262\/7 - 3609. Put -3\/2, b, 4, -7 in descending order.\nAnswer: 4, b, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j, -2*b + 7 = -2*j - 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*a - 33 = 0, 0 = 3*n - 3*a - 9 - 18. Let j be 192 + -2 + (8 - n) + -1. Let i = j + -135. What is the greatest common factor of 14 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 635 greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-175)\/(-63) + -3 - 7618\/(-18). Suppose -17*b = -20*b + v. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -379*h**2 + 700*h**2 + 439*h**2 to the form s*h + j + q*h**2 and give q.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8375 = 3*o - z - 8947, -z - 23097 = -4*o. Does 55 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*c + 6, -19 = g + 2*g + 5*c. Suppose -5*o + g*o = 24. Let a = 36 + o. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, 4, 20, 38?\n\"Answer: z**2 + 11*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 - -33) + (-8 - (-15 + (-15 - -14)))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4659, -10483, -16305, -22125, -27943?\n\"Answer: u**2 - 5827*u + 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 19. Let u(j) = -j - 1. Let h(n) = -b(n) + 4*u(n). Let s be h(12). Suppose -s*x + x + 4*k - 8 = 0, -2 = -5*x - k. Solve 2*o - 10 + 0 = x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-13)*a)**19\/(a\/(a**12*a*a)*a*a**7))**8 assuming a is positive.\nAnswer: a**2320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 299 - 621 + 320 + 2*h**2 + 26*h**3 in the form o*h**3 + i*h**2 + x*h + y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24, 25, 26, 27, 28?\n\"Answer: l + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19599 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 h when three letters picked without replacement from hhyhhy.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 51. Factor 5*k**5 + 26*k**4 - 21*k**4 - 5*k**3 - s*k**2 + k**2.\nAnswer: 5*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -527042, 4.\nAnswer: -527042, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 10. Let s be f(-7). Suppose 0 = s*k - 0*k - 412. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18275 - 36574 - 184*d**2 + 18299.\nAnswer: -184*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2 - 3*p**2 + p - p**2. Let m be (-228)\/152 - 1\/(-2). Give t(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmm. What is prob of picking 1 b and 2 m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*u + 76*u - 1056. Let d = u - 59. Calculate the least common multiple of 14 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 511 and 110230?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -9 + (9 - 6) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1173, 3305, 5437, 7569, 9701?\n\"Answer: 2132*d - 959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -663*i - 7366. Calculate f(-11).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 12*k - 5. What is the remainder when 67 is divided by q(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k + 16. Let m(g) = -219 + 218 - 9*g + 0*g. Let n(c) = 2. Let w(p) = m(p) + 6*n(p). Determine 5*v(i) - 7*w(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 + 12*u**2 + 11*u**3 - 218*u - 2*u**2 + 467*u - 218*u to the form p*u**2 + k*u**3 + f + b*u and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -27. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -213 (base 4) to base 3\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032728.4 rounded to the nearest ten thousand?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 + 2*z - 2*z)*(-5*z + 5*z - 3*z)*(0*z + z - 3*z) as r + i*z**2 + o*z**4 + b*z**3 + u*z and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-2) + 6*153\/(-135). Let z = r + 27\/5. What is the smallest value in z, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00608774 to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 6*u - 153, 5*u - 143 + 2 = -0*m - 2*m - 7 for u.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8021936 is divided by 63?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-9))\/(141\/(-18) + 7). Let o be 4\/1*(-1)\/18. Let s be (3\/(-15))\/(10\/(-25)). Which is the biggest value? (a) s (b) o (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30818638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000519327231 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/13, -3, 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 3)\/(1 + -3). Let y(p) be the third derivative of -p**4\/24 - p**3\/6 + p**2. Let g(c) = -4*c - 5. Give o*g(d) - 6*y(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - l**3 + 3 - 188*l**2 + 4*l + 191*l**2. Determine d(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 14*c**2 + 591*c + 11226. Calculate w(-18).\nAnswer: 1884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (120 - 250 - 907)*(3*o - 2*o - 2*o)*(-2*o - 4*o**2 + 20*o**2 + 2*o) to the form g*o**2 + d*o**3 + f*o + r and give d.\nAnswer: 16592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -349\/221 + 19\/13. Which is the smallest value? (a) 0.1 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (2 - -136)) + 1\/(-1). Which is smaller: g or -138?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 128 and 130 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 20 = 3*c - 32 - 18, -2*z + 3*c = 97 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.77533390036 - 2?\nAnswer: 1.77533390036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 3.3?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1236 - 1199. Solve 6 + 31 = -g*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1566037.\nAnswer: 11, 19, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9267826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291 - 376484.\nAnswer: -376775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 3*b + 14 = 0, -5*y + 7*b - 13 = 3*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 15*v - 207. Let q be 1\/(1\/2 - 1). Sort q, v, -5 in increasing order.\nAnswer: -5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*k + 152, 3*z - z - 2*k - 144 = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/16 and 81\/400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1\/9, 2\/11, 8, 7, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 66, -6.789, -2, 5 in increasing order.\nAnswer: -6.789, -2, 4\/7, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8300914, 16601830, 24902746, 33203662, 41504578?\n\"Answer: 8300916*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2415 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 613 = -2*t + 19*p, -2*p + 310 = t. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v - 5*v - 2*v - v + 0*v + 0*v + (0 + 0 + 2)*(-2*v - v + 4*v) - v + 0*v - v - 9*v - v - v + 0 + 2*v + 0 + (2*v - 2*v - 2*v)*(2 + 1 - 1).\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.05604771, -0.03 in descending order.\nAnswer: 0.05604771, 0, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1\/4*t**4 + 0 - 1\/2*t**2 - 1\/6*t**3 - 28*t. Let w(n) = -n**2 - 1. Determine -h(i) + 4*w(i).\nAnswer: -i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021 plus -5047687?\nAnswer: -5047686.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2)\/w)\/w)**(-26))**(-12\/7)*(w**(1\/2)*w**(-3\/4))\/(w**(3\/7)*(w\/(w**(1\/5)\/w))\/w) assuming w is positive.\nAnswer: w**(-25167\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, -93, -162, -237, -306, -357?\n\"Answer: 2*f**3 - 21*f**2 - 2*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384*w + 1170*w + 409*w.\nAnswer: 1963*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*u - 323*u = -3*o - 5, u + 1 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0071165961 rounded to four dps?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-122 + 297 - 59) + -15 + (0 - -1))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -13 + 4 + -3 + (-1 - -20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 82.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 543252547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, t: 7, y: 6}. What is prob of sequence gyyt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a millennium in decades?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 262 + -260. Let l(q) = -4*q - 16*q**m + 4*q + 21*q**2. Let y(d) = -20*d. Determine y(l(v)).\nAnswer: -100*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2384*o - 28195. Calculate t(12).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2.34, -4, -0.1 in decreasing order.\nAnswer: 5, -0.1, -2.34, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 2022\/84 - 1\/14.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2336.623241 to the nearest integer.\nAnswer: -2337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -319*g + 35*g**2 + 93 - 35*g**2 + 322*g + 167*g**3 - 2*g**5 wrt g.\nAnswer: -40*g**3 + 1002*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u**2. Let y(l) be the second derivative of -l**4\/4 - 3*l**2\/2 + 254*l. Determine j(y(a)).\nAnswer: 72*a**4 + 144*a**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2132*335*(-1)\/2. Round g to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8116435 and 4869861.\nAnswer: 24349305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, e: 2, w: 2, o: 2, i: 1}. What is prob of sequence iw?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14461207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/2*(-5)\/((-60)\/(-2992)). Let v be (-7 - 65\/(-9)) + m\/18. Suppose 0*g + v = g. What is the remainder when g is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97096 is divided by 1471.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 54.7*-0.6311\nAnswer: -34.52117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65996318.\nAnswer: 2, 233, 141623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 135*s - 8780. Let k be m(65). Suppose -3*v = 2*v. What is the nearest to -52 in k, v, 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(3\/8))**(-2\/41) assuming f is positive.\nAnswer: f**(-1\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 - t**2 - 2726*t**4 - 1 + 2453*t**4 to the form w + s*t + d*t**4 + j*t**2 + k*t**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40485 - 45*h**2 + 45*h**2 - 40485 + 435*h**3.\nAnswer: 435*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, 13, 16, -2 in increasing order.\nAnswer: -117, -2, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -3*i + 506 - 521, -3*t + 2*i = -11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-120)*-4*10\/6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3390 and 36170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5) + (-6624)\/4140)\/(302\/152 + -2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 164710062*k**2 + 14629309?\nAnswer: 329420124*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c + 6. Let k(t) = 2*t - 5. What is -6*d(p) - 7*k(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 8*j + 16. Let y be 80\/(-35)*1\/j. What is the nearest to 1 in -2, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 14*r + 4. List the prime factors of w(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 732*x + 23 - 11 - 12.\nAnswer: 732*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyv when three letters picked without replacement from {y: 2, d: 3, v: 2, u: 6, e: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 17*t + 3*t + 14*t + 2*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/132469 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2. Let l(x) = -x**2 + 5 - 1 - 1. Let o be l(0). Let b(j) = -j**2 - o*j**2 + 3*j**2. Give b(s(r)).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 5244?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-11))\/((n**(-9)*n*n)\/n))\/(n**14\/n**(2\/7)) assuming n is positive.\nAnswer: n**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -79 - 68*g + 37*g + 30*g - 3 - 2*g + 3 + 3*g + 7*g - 6*g + (-3 + 3 + 2)*(3*g - 3*g + g).\nAnswer: 3*g - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -7720?\nAnswer: 2316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3630) + -1*sqrt(3630) + sqrt(3630) + sqrt(3630))\/sqrt(5)*-4)\/(sqrt(3) - 5*sqrt(12) - 3*sqrt(147)).\nAnswer: 44*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -35, 3, -3.\nAnswer: -35, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + 4*w + 4. Let x(q) = 5*q**2 + 5*q + 5. What is 5*o(y) - 4*x(y)?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 37*o**2 + o - 3. Let k(f) = -2*f + 2. Let q be k(2). Is l(q) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 69825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/(-6) - (-13)\/(273\/14). Calculate the highest common factor of 12 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -487900 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -422 bigger than -476001\/1124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-75) + (-2)\/(-5))*(-1867431)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 19*k - 58. Calculate g(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168.3 + -165.3. Let d = 2 - 0. Let k = d - 7. Which is the smallest value? (a) m (b) 3\/7 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/4 + -2 + -3 + 1. Let h(m) = 4 + 0 + 0 - 13*m + 0 + 12*m. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -13.\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -19 (b) 0.88 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 2. Let l = z + 13. Suppose -6*b + 5*b = -l. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + 56\/12. Let p = 3 - j. Is (6\/3)\/(p\/(-46)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 35, 4 in ascending order.\nAnswer: -1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1*-1*2. Let c be 0\/1 - (1 - p). Suppose -2*b = -3*f + 4, 3*b + 11 - 5 = -5*f. Solve -x - 5 = f, 2*u + 2*x + c + 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205128000 rounded to the nearest 1000000?\nAnswer: 205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -0.2 (b) -2\/9 (c) -399.9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 3 + (-3 - -8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 1 + 258*k - 208*k in the form o*k + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 14. What is the smallest value in s, -0.5, -5\/3, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 8*u + 8. Let j(a) = -a**2 + 8*a + 14. Let g be j(-2). Give m(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -52*l - 1. Give z(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12873 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 14 divided by 2761?\nAnswer: 14\/2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + 100 + 78 + -82?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/58 and -103\/58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 + 5. Suppose 0*a = -4*a - 20. Let i be (27\/6)\/(15\/a). What is the third smallest value in y, -0.1, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30915*b**5*s - 5*b**4*s**3 - 9*b*s**2 + b + 2*s**3 + 10*s - 106 wrt b.\nAnswer: -618300*b**3*s - 60*b**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 31 = -34. Suppose 5*f + u = -7. What is the nearest to 1\/3 in -3, -3\/4, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzjeo. Give prob of sequence ehj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/4 (b) -4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 58\/5*v**2 + 24\/5*v**3 - 8\/5 + 16\/5*v = 0.\nAnswer: -2, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -16*p**3 + 9*p**2 - 3*p. Let s(o) = 8*o**3 - 4*o**2 + o. What is -9*s(i) - 4*z(i)?\nAnswer: -8*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*l - 131*l + 1690 = 4492 + 8350 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002100734 rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -523*v. Let k(g) = -34*g**2 - 2*g. Give u(k(x)).\nAnswer: 17782*x**2 + 1046*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - -3 - (1 - (-1 - (22 - 24)))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**30\/b*(b**(12\/5)\/b)\/b*(b*b\/b**(1\/14))**41 assuming b is positive.\nAnswer: b**(7593\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 3\/(-2)*-4. Let l(f) be the first derivative of -f**2 + 6*f + 2. Let u(v) = 0 - 5 - 6 + 4*v. Calculate k*u(t) - 11*l(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*w**2 + 315*w + 4557 wrt w.\nAnswer: -6*w + 315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-9)\/210)\/(670\/(-2345)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 2*n)*(-1 + 1 - 1) - n + 1 - 1 + 0 + 0 - n + (3 + 1 - 5)*(-4*n + 3*n + 2*n) + 2*n - 2*n - n + n + n + 0*n - 1099 - 56*n + 1099.\nAnswer: -59*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -750, -1210, -1680, -2166, -2674, -3210, -3780?\nAnswer: -4390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n**6 + 0*n**5 + 0 + 0*n**7 + 6*n**2 + 3\/2*n**4 + 0*n - 23\/336*n**8 + 0*n**3. What is the second derivative of z(q) wrt q?\nAnswer: -460*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/2 - 1965*g**2 - 11783*g\/2 - 3927 = 0. Calculate g.\nAnswer: -3927, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + 3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62148296?\nAnswer: 2, 7, 1109791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:29 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -18. Let z = q - 4. Let r = -2 + z. Sort 4, -3, r in descending order.\nAnswer: 4, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 13 (c) 4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/28 + (-11)\/35. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5018174994 - -0.3\nAnswer: -5018174993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/3224629 and -56\/813.\nAnswer: 9673887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277.66 - -274. Let w = x + 3.2. Let z = w - -0.26. Which is bigger: z or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 23 + 44 - 21, -31*o - 54*o + 170 = 3*b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -15*a - 10. Let s be w(-5). What are the prime factors of (-1 - 1)\/((-10)\/s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.9 - -190.1. Let v = d + -214.3. Sort -1, v, -19 in increasing order.\nAnswer: -19, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*n**4 - 77*n**3*x - 46*n - x wrt n.\nAnswer: -36*n**2 - 462*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 57, 86, 127, 180, 245?\n\"Answer: 6*i**2 - i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 227, 499, 883, 1379?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:55 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 318893833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 875542.2g?\nAnswer: 875542200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - ((-446)\/60 + 3)) + -5 and -41\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280171357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = 0, -11*a - l + 480008 = -4*a. What are the prime factors of a?\nAnswer: 2, 7, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400644 divided by -22258?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.7592 + 0.2?\nAnswer: -75.5592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 630 + 770 + 178 - 2*c + 609 to h*c + y and give y.\nAnswer: 2187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-10))\/((-36)\/240). Let m be w\/20 + 6\/(-15). Suppose -4*a + 4*o = -52, 0*o - 3*o + 15 = m. Calculate the highest common factor of 12 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2883.413cm to millimeters.\nAnswer: 28834.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 12, w: 6, v: 1}. What is prob of sequence ppwv?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*a + 82*a + 26*a.\nAnswer: 77*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 8. Let v be t(8). Suppose 7*l + 1 = 15. What is the remainder when 49*(-3 + v\/l) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -17 (c) -432866\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 51?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -20*a. Let n(p) = -7 + 4 + p - 2*p. Let z(w) = -2*w - 7. Let m(c) = 7*n(c) - 3*z(c). What is m(y(d))?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 4:22 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 849975.\nAnswer: 3, 5, 7, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -17*y**2 + 18*y - 36. Let z(a) = 12*a**2 - 12*a + 25. Let r(k) = -5*v(k) - 7*z(k). What is r(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 109 - 34. Let m be 30\/w*2\/(-12). Suppose 5\/3*l**2 + 0 - m*l = 0. What is l?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233 (base 5) in base 9?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -6*f**5 - 5*f**2 + 14*f. Let g(w) = -3*w**5 - 2*w**2 + 7*w. Let v(l) = 5*g(l) - 2*o(l). What is the second derivative of v(a) wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -9. Let w = 0 + f. Let n be (-1759998)\/w + (-4)\/(-8). Round n to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2271146355?\nAnswer: 3, 5, 50469919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2\/9, -2\/15 in decreasing order.\nAnswer: 2\/9, -2\/15, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 196*h - 11. Let m(v) = 93*v - 5. Calculate -7*m(q) + 3*w(q).\nAnswer: 3*q**2 - 63*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 - (-1)\/((-18)\/(-84))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 22. Let f = 6 + -8. What is the nearest to -1 in 0.3, f, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 13.2. Let t = 0.09 + m. Let j = t + 0.21. Sort 2\/11, -2\/5, j in descending order.\nAnswer: 2\/11, j, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4 - 534*w**3 + 45176*w**2 + 140280*w = 0.\nAnswer: -334, -3, 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -12, 15, 72, 171, 324, 543, 840?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2098*z + 2093. Let d be p(-1). Let y(w) = -74*w**3 + 5*w**2 + 8*w + 8. Let v(r) = 49*r**3 - 3*r**2 - 5*r - 5. Calculate d*y(h) - 8*v(h).\nAnswer: -22*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/(-48))\/(2\/(-6)). What is the derivative of 17 - 187*s**q + 93*s**2 + 105*s**2 - 43 wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.107393317 rounded to 3 decimal places?\nAnswer: 5.107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05133641394 minus 4.4772?\nAnswer: -4.42586358606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*-5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 28614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/28, 3, -2 in decreasing order.\nAnswer: 3, -5\/28, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 187010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 278.66 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119471 and 4224929.\nAnswer: 46474219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1 - m - 6*m + 11*m - 3*m. Let h(g) = -g. Let w(u) = 4*u - 1. Let o(f) = 7*h(f) + 2*w(f). Give -4*o(n) + 5*s(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248466.\nAnswer: 2, 3, 41411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u - 2*u**2 - 6*u + 4*u + 3*u**2 + u**3. What is w(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243200 and 3040?\nAnswer: 243200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n - 13. What is w(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snnssn. What is prob of sequence nn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(6292) + -2*sqrt(6292) - sqrt(416)\/sqrt(128))\/(sqrt(48)\/(-3*((sqrt(12) - -2*sqrt(12)) + sqrt(12) - sqrt(12)) + sqrt(12)))).\nAnswer: -90*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 14, -4 in decreasing order.\nAnswer: 14, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -482687, -965373, -1448059?\nAnswer: -1930745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/5)\/(2\/10). Let o be 1 + (-15)\/(-6)*2 + -1. Let v be 2\/o + (-48)\/(-30). Solve -n*a = -v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003583 rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 610? (a) -3 (b) -0.4 (c) 1 (d) -3\/2 (e) 1.42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.57270667 and 0.5?\nAnswer: 0.286353335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -4*y**7\/105 - 45*y**4\/8 - y**3\/6 + 8*y**2. Find the second derivative of f(z) wrt z.\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 636839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47333259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -704 = -4*j + 4*n, -5*n + 448 = 3*j - 144. Suppose -42 = -2*g - 3*l, -5*g = l + 25 - 143. Calculate the highest common factor of j and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 18, 27, 32, 33, 30, 23, 12?\n\"Answer: -2*t**2 + 15*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185 - 7399\/40. Let i(n) be the third derivative of 0*n + 2*n**2 - 1\/3*n**3 + 0*n**4 - j*n**6 + 0*n**5 + 0. Differentiate i(z) with respect to z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1084*u + 442*u + 23071 = 1707 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -55, -96, -135, -172, -207, -240, -271?\n\"Answer: j**2 - 44*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**4 - 1247535*j**3 - 93553875*j**2 - 2338753125*j - 19489218750 = 0.\nAnswer: -415770, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-75114)\/(-14) + 770\/49 + -16.\nAnswer: 5, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/6 + 4*y. Let c(u) = 7*u - 3. Let o(a) = -76*a + 32. Let f(s) = 32*c(s) + 3*o(s). Calculate b(f(g)).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 477422315*g**3 - 314071258*g**2 wrt g.\nAnswer: 2864533890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 + 8*g - 5. Let t(w) = -w + 1. Let i be 1\/4 - (-6)\/8. Calculate i*s(l) + 6*t(l).\nAnswer: 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(112\/4) + ((-380)\/(-5))\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34603318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23896)\/184 + (10782\/(-138) - -78)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b**2 + 222*b + 3888. Let k(r) = 9*r**2 + 667*r + 11664. Let n(f) = 6*k(f) - 19*v(f). Determine o, given that n(o) = 0.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(12)\/sqrt(4)*3 + 3.\nAnswer: -6*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:14 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3*y + 2. Let i(a) = a**3 + 3*a**2 + 3*a + 3. Let v be i(-3). Let x(g) = -2*g - 1. Let q(p) = v*t(p) - 10*x(p). What are the prime factors of q(7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p + 21. Give z(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 7:30 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.21348 litres in millilitres?\nAnswer: 34213.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 13\/6, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2211, -2218, -2235, -2268, -2323, -2406, -2523?\n\"Answer: -d**3 + d**2 - 3*d - 2208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(-58)*-2 - (-3610000)\/1160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 6. Let h be d(2). Suppose 2*b + 6 = 0, -h*y = b - 3 - 34. What is the least common multiple of y and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 192\/(-20) - 10\/25. Let q be l\/3 + 15\/(-9) + 1. Put 2, q, 0.2, 5 in decreasing order.\nAnswer: 5, 2, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:28 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a1 + -1?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o + 1. Calculate the least common multiple of 5 + -1*(-3)\/(-1) and b(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - 43?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 14. Let a be (3\/(-9))\/((-3)\/(-36)). Let s be (0 + 0)\/a - -4. Put c, -4, s in decreasing order.\nAnswer: s, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {t: 1, r: 1, q: 1, h: 1, l: 2, w: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*l**5 - 73828*l**3 - 131993*l**2 - 316*l wrt l.\nAnswer: 4080*l**2 - 442968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 6 - (6 + -11 + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66026 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 2:03 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 5*k + 20, 0*k = 5*z - 4*k - 2. Suppose 0 = 3*t - z*t + 3*v + 2, 5*v = 15. Let d = t - -24. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m + 5 = 0. Let b(j) = -j**2 - 4*j + 4. Let k be b(m). Suppose 0 = -v + 4*v + 6. What is the nearest to k in 1\/2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59 * -407923\nAnswer: -24067457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 2714.\nAnswer: 2714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 272.487, 5, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 - 99\/(-22). Suppose -b - z = 0, 5*b + k*z = 6*z + 16. Suppose 4*v - 2*v - 10 = 0. What is the second smallest value in 3, 0, v, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.843 + -30.842944716. Round a to 6 decimal places.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.35939 millilitres?\nAnswer: 0.04635939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -1150\/2003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -774507, -3098040, -6970593, -12392166, -19362759, -27882372?\nAnswer: -37951005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/5, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 1\/6, 3, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 8*s = 9*s + 2, -2*t = -3*t - 3*s + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 388 + 832. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24040 (base 9) to base 13\nAnswer: -7416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0118 - -14.9418. Let s = 15 - k. Let f = s + -0.0700075. What is f rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/99 and 82\/63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6250 = 5*x, -2*n + n = -1. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 62 = -3*m - 3*k, 2*m = -4*k - 28. Let d = 18 + m. Suppose 10*v - 5*v - 11 = 2*o, -3*o = -3*v + 3. Sort o, d, -5.\nAnswer: -5, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y. Let j(h) = -515204*h. Give d(j(o)).\nAnswer: 515204*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16047 divided by 4892\nAnswer: 16047\/4892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**3 - 3*j**3 - 2*j**3)*(-5 - 1 + 16) to the form s*j + x*j**2 + k*j**3 + i and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -22, 60, 2, 5, 0 in descending order.\nAnswer: 60, 5, 3, 2, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540 is divided by 294?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 13, 0.5, 1\/8, -3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 115*u**2 - 9*u + 7. Suppose -9 - 17 = 2*z. Let w be y(z). Suppose w = c - 41441. Round c to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, b: 1}. What is prob of picking 1 v and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h - 1. Let d = -898 - -894. Let z(v) = -v. Give d*l(j) - 22*z(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a factor of 81245612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3678876 + 354*t - 3678876 - 2*t**3 - 2*t**2.\nAnswer: -2*t**3 - 2*t**2 + 354*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -70, 4 in decreasing order.\nAnswer: 4, 2, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2391704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.01, 4\/5, -2813\/627 in ascending order.\nAnswer: -2813\/627, -2, -0.01, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -614*y**2 + 38*y**3 - y + 3*y - 2*y.\nAnswer: 38*y**3 - 614*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -3*j - 32. What is x(-14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let y(r) = 2*r - 16. Let k(z) = -1. Let x(n) = -10*k(n) + y(n). Let b(o) = -3*p(o) + x(o). Let j be b(-5). Solve 0 = j*a + 6 + 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 27*g - 6. Let a(d) = 52*d - 13. Let p(s) = -2*a(s) + 5*j(s). Let w(v) = -2*v**2. Determine p(w(f)).\nAnswer: -62*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*k + 59 - 60 + 115*k - 5*k to v*k + z and give v.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4910 + 152*g - 74*g + 58 - 3214*g**2 - 78*g wrt g?\nAnswer: -6428*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 633a?\nAnswer: -6338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (6 - 4 - (0 + -4 + 6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 6572, 6627, 6690, 6761?\n\"Answer: 4*f**2 + 43*f + 6525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/39, -3\/2, -1\/3, -0.4, -2\/11 in ascending order.\nAnswer: -3\/2, -0.4, -1\/3, -2\/11, -2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 119 = 3*g. Let k = g + -48. Let f = k + -36. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*t**2 + 1\/6 + 1\/6*t**4 + 0*t + 0*t**3.\nAnswer: (t - 1)**2*(t + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 7, y: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2 = 22. Suppose -u*f = -f - 16. What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**4 - 26*o**3 - 2*o**2 + 18*o + 2. Let b(f) = 33*f**4 + 107*f**3 + 8*f**2 - 75*f - 9. Let t(j) = -4*b(j) - 18*z(j). Find m such that t(m) = 0.\nAnswer: -3, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31741589 is divided by 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + (0 - -7) - (0 + 7 + 2 + 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand x - x - 2*x**5 + (x - x + 5*x)*(x - x - 2*x**2)*(-x**2 - 4 + 4).\nAnswer: 8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 9) to base 6.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2)*(-3 + 4 - 7)*(-1 + 2 + 2)*(4*k - 2*k - 3*k) to the form z + o*k and give o.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137 and 496351.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 35.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -19, 4, 2.5, 14, -1.1, 5?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*z**3 - 3*z**2 - 6503 + 6503.\nAnswer: -215*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*b - 2*b**2 - 5 - 8*b - 2*b to the form u + z*b**2 + l*b and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*a - 4*a, -5 = 2*h - 3*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 48.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3200 + 50*z - 3222 + 522*z.\nAnswer: 572*z - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j**3 + 85*j**3 - 25*j**3 - 23*j**3.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25778, 25830, 25864, 25874, 25854, 25798?\n\"Answer: -c**3 - 3*c**2 + 68*c + 25714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -612\/13, -1\/9, 0.4, 0.2, 827?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1968, 1826, 1596, 1284, 896, 438?\n\"Answer: n**3 - 50*n**2 + n + 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17981509)\/(-78) - (-5)\/6. Let s = m + -115533. Round s to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.113 - 4.887. What is the closest to 0.1 in -1, 5, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - a3048?\nAnswer: -a3044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 259*h + 4933. Determine y(-19).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -493 = -a + r, -a - 4*r = -2*r - 493. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97758527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 75345169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*u - 122 = 98 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.07 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 77*t + 493. Let x be n(-6). Let y be (3 + (0 - 0))*1. Let c(g) = g**2 - g - 2. Let l be c(y). Sort l, -1, x in ascending order.\nAnswer: x, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*(0 - (-2 - -3)). Suppose -l + 5*l + 16 = i. Let q = 61.5 + -53.5. Sort 3, l, q in decreasing order.\nAnswer: q, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4598 = -z + 419*z for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*g**5 - 1507080*g**4 - 11962233675*g**3\/2 - 518853573750*g**2 + 1311155120625*g\/2 - 205598334375 = 0 for g.\nAnswer: -7805, -90, 5\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*v + 3, -3*j - 5 = -j - v. Let n be ((-15)\/12 - j)*1. Let r be (1 - (-2)\/(-3))*-2. Which is the nearest to r? (a) 4 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1208 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4530612517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 7*r + 59 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-63) + (-4)\/(-14). Suppose c = -4*w + w + 7500. What is w rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 49 + 55 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 570*l + 27075 = 0. Calculate l.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45.06 + -45. Let d = -0.05999995 + f. Round d to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 3. Let d be c(-1). Let y(q) = 2*q**3 - 3*q**2 + q - 3. Let v be y(d). Solve 3*w = -w, v*w = m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 18?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/8, 1179, -1\/2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**5\/3 + 4*q**4 - 14*q**3\/3 - 4*q**2 + 16*q\/3 = 0. What is q?\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 8:42 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((-12)\/(-3))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 + 44*v**2 + 358*v + 80. What is a(20)?\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037604 rounded to 7 decimal places?\nAnswer: 0.0000376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/(225\/(-110)))\/((-2)\/5). Solve -3*c = 5*n - q, -c + 6 = -0*c + 4*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, 1539, -12.37 in increasing order.\nAnswer: -12.37, -4, -3, -2, 1539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 2, s: 2, g: 3}. Give prob of sequence sxs.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.6545ml to litres.\nAnswer: 0.0446545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g. Let v(w) = 80*w + 10. Determine -v(o) - 20*y(o).\nAnswer: 20*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110011000111 + 100010010?\nAnswer: 1001110111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/(-15)*(-10)\/(-4). Let u be (-1)\/(-1 + 0) + 2. Let q = o - u. Solve q = v - d + 5, 3*v + 4*d = -v - 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -558*z - 91 = -565*z. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**3\/3 + 3*y**2\/2 - 6*y - 582. Let l be (-2 + -1 + 8)*-1. Calculate r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195536215 and 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 + 20. What is the second biggest value in m, 4\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n - 8 = 0. Which is the third smallest value? (a) n (b) 0.7 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, j: 5}. What is prob of picking 1 j and 2 o?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*h - 96, i - 29 = -4*h - 5. Suppose u + 15 = 5*q, -2*u + 45 = 5*q + 15. Solve -u*j - i = -5*k, 5*j + 12 = -5*k + 2*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -34. Suppose 21 = q*i + 2*o, -4*i + 14 = -o - 8. Let p(g) = g**3 - 7*g**2 + 9*g + 8. What is the remainder when 24 is divided by p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4288\/88 + -52)\/(42\/(-44))\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6286 - 2?\nAnswer: -6288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-15)\/12 + -2 + -1. Let t(v) = 7*v + 7. Let z be t(j). Suppose 0 = 32*c - 27*c - 35. What is the greatest common factor of c and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 12:39 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 10*u - 3. Let o be a(6). Let t = 28 + o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f + 3. Let z(y) = -25*y**3 - 2*y**2 - 2*y - 1. Let v be z(f). What is the greatest common factor of v and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/19 and -99\/10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 24 = 29. What is the third derivative of 19*h**2 - 18*h**4 + s + 9 - 10 wrt h?\nAnswer: -432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 177 = -3*f, 5*p + 43 + 2 = f. Let m = f - -12. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -658, 11 in increasing order.\nAnswer: -658, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*r - 37 = -103*r - 5*v, r + 2*v - 7 = 0. Solve -r*q + 1 = -18*q - 4*m, -2*q + 26 = -5*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 38*j - 304. Let q be g(9). What is the greatest common factor of q and 646?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/24)\/(2\/40). Suppose p - i = -0*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 17*b**2 + 51*b - 11. Let a be z(-12). Solve -8*w = -a + 145 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1124 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*c**5 + 9*c**4 - 6*c**2 + 15*c.\nAnswer: 720*c**2 + 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 442 and 1.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-3780)\/1482) + -6)*8\/10.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 18.1. Let n = -3271 + 3271.2. Which is the closest to -2.5? (a) l (b) 0 (c) 5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.17 + 1.97. Is -5 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58982088 divided by -88.\nAnswer: -670251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 73493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let s be r(2). Suppose 4 = -a + s*a. What is the third derivative of a*y**2 - 44*y**5 + y**2 + 48*y**5 wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -5 - 1 - (-2 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-45))\/(621\/(-90))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -395 - -374. Which is the closest to u? (a) 1 (b) -5 (c) -0.1 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*l + 24*l**2 + 3*l**2 - 2 - 30*l**2 in the form d*l**2 + t*l + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 1218 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*n**3 + 22*n**3 + 24*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 299, 2185, 7241, 17051, 33199, 57269, 90845, 135511?\n\"Answer: 264*m**3 + m**2 + 35*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38111 - -1143191\/30. Find the common denominator of -23\/540 and q.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 166*y + 5903. Calculate the remainder when 25572 is divided by o(-115).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3*p + 2 - 2)*(-88*p - 89*p + 178*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 427 - 427 + 77*z**2 + z - z - z**2 - 1 - 2*z**2 + 1 + (-2*z**2 - 2 + 2)*(0 + 0 - 2) + 5*z**2 - 3*z**2 - z**2 - 4*z + 4*z - z**2.\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14645 - -14645. Solve -t - 3*t - 4*n + 32 = s, -28 = -5*t - 2*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-9 - (4 - 10 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 17*l**2 - 16. Let s be b(13). Let f = s + -1026. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*h**2 + h**4 - 2*h + 2*h**3 + 0*h + 1 + 3*h + 182*h**2 as i*h + p*h**2 + v + z*h**3 + d*h**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -b6?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2849683 rounded to 4 dps?\nAnswer: -0.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1238429*-0.5\nAnswer: -0.06192145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of -f**6\/200 + 3*f**5\/100 - f**4\/20 + 2*f**2 + 10*f. Let v(y) = 0. What is y?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - x**3 + x**3)*(2*x**2 - 4*x**2 + 4*x**2) + (3*x**2 - 4*x**2 - x**2)*(32*x**3 - 4*x**3 + x**3).\nAnswer: -54*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1326218 + 1326230. Determine l so that 1\/6*l**2 - f*l + 216 = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 7:45 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 79. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -2\/3 (c) -3\/8 (d) -2 (e) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**4\/12 + x**3\/3 + 4*x**2 - 17*x. Let a(i) = -i**3 + i**2 + 23. What is the remainder when a(0) is divided by j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 0 = 4 - 202. What is the nearest to 0.1 in 0.4, -0.1, 2, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + b + 3*b)*(-3*b + 2*b + 0*b)*(-2*b - 3*b**2 + 2*b) - b + b - b**4 as g*b**4 + r*b**3 + i*b**2 + u + c*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -582\/23 (b) -5.6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.13 - -0.14. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 27*a + 5. Let n be j(14). Suppose 45 + n = 8*y. Let p = y - 6. Solve 2*z - p*t - 10 = 0, -z + 0*t + 5*t + 25 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/970 and 53\/5.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, 86, 381, 928, 1805, 3090?\nAnswer: 4861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m**2 - 5*m + 5. Give f(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/399)\/((-10180)\/14252)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 426168\nAnswer: 852336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.47 - -21.47. Let w = -15 + i. Let u = -9 + w. Is u equal to 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2 + sqrt(5))*5 - sqrt(30)\/(sqrt(12)\/sqrt(2))).\nAnswer: 5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86500 and 2.78.\nAnswer: 86502.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75.1 - 74.143. What is j rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-830.7.\nAnswer: -8307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-2)\/3)*-9. Let a = 9 + v. Let q(p) = a*p + 0*p + p. Let g(o) = -3*o. Calculate q(g(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a minute in seconds?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Suppose -t*o + 8 = -4. Suppose 0 = u - o - 2. Calculate the greatest common factor of u and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of d**2\/2 + 2*d + 8. Let s be 4\/6 - 8\/(-6). Is h(s) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1283 - -1459. Calculate the remainder when 2109 is divided by g.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 299*m + 12893. Determine h(-41).\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 40 (c) 4 (d) 0.05108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323022 + -42224?\nAnswer: -420301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (35 - (-18 + 38)) + 4 + -4\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 8:22 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*f - k, 2074*k = -f + 2071*k + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12134, -12122, -12110?\n\"Answer: 12*m - 12146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/4 (b) 47 (c) 0.2 (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 8*g**2 - 4*g - 41. Let q be f(9). Suppose q*i = -3*d - 0*d + 536, 0 = -4*d + i + 702. Calculate the remainder when d is divided by 46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*i - 8388, n = 5*i - 9*i + 11207. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-110)\/(-2) - 1*-1 is divided by 1 - (-16 + 124)\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-4 + (-1 - -3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 10*u**2 + 14*u + 15. Calculate t(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/154 + 4380\/(-95810) + (-8 - (-420)\/52).\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2604, -0.115, -4.\nAnswer: -2604, -4, -0.115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 311118913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -59. Let f(r) be the first derivative of r**3 - 11 + 18*r**2 - i*r**2. Let z(y) = 11*y. Give f(z(t)).\nAnswer: 363*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25420822 times 0.2?\nAnswer: 5084164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.148, 3, 5.2, 5, -5 in ascending order.\nAnswer: -5, -0.148, 3, 5, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1909 = -65*y - 11*y + 219 - 152 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 + 12*m - 34. Let x be (-4 - 32\/(-4)) + -11. Let a be y(x). Is 178 <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -20. What is the lowest common multiple of 36 and w?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71b8 (base 12) in base 9?\nAnswer: 17875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 34*f**2 + 286*f + 45. What is the smallest common multiple of o(-15) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70533972 - 487\nAnswer: -70534459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 675 - 663. Let v = 39 + -27. Suppose -t = -v*i + 10*i. Solve 0 = m - i + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m. Let j(v) = -19*v + 27. What is j(s(b))?\nAnswer: 57*b + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {o: 1, d: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 5*c - 3430, 5*c - 4*c + 6824 = 4*f. Suppose 2*z - 2646 = -4*g, -2*g + 3575 = 4*z - f. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 63 - 63 - y. Let b(w) = w**2 + 0*w**2 + 2*w**2. What is b(d(c))?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, z: 2, i: 1, c: 3, w: 2, k: 1}. What is prob of picking 1 z and 2 c?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 = -2*t - 2*k, 12*t - 13*t - 3*k + 488 = 0. Calculate the remainder when t is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 70\/17 - (-3731)\/221\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 0*w + 2*r = -9, 12 = 4*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -0.2517?\nAnswer: 0.4517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 4*d**2 - 4*d + 16. Let q(o) = -o**3 - 4*o**2 - 5*o + 16. Let i(s) = 6*b(s) - 5*q(s). Let y be i(-4). Is 13 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -36*a + 26. Let l(b) = 9*b - 6. Let w(o) = -2*g(o) - 9*l(o). Let z(p) = p. Calculate -w(d) - 5*z(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*r**2*y**2 - r**2*y + 231*r*y**4 - 2821*y wrt y.\nAnswer: 50*r**2 + 2772*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-70)\/(-4)) - (202 - (-39975)\/(-287))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2796791141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1673694 to the power of 1\/2, to the nearest integer?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.0506559 and -3.6?\nAnswer: -3.78236124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let m = 60 + -52. Let n be (3 + 0)*m\/(-12)*-3. Solve 4 = r*s - n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 e, and 1 g when three letters picked without replacement from {g: 1, s: 1, h: 1, z: 1, e: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(125) + -1)**2 - -6*sqrt(960)\/sqrt(12)) + 3.\nAnswer: 14*sqrt(5) + 134","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*i - 5*v - 4, -4*i - 5*v = 1. Let s be ((-2)\/3)\/(2\/i). Let z be 2\/4*(s - -2). Solve h + h + 10 = z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-42)*(-34)\/(-2975)*21)\/(2\/(-15)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -1\/10 (c) 1\/7 (d) 0.143 (e) 1 (f) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 7*a - 4. Let j(h) = 4*h - 9. Let q be j(6). Let d be (q\/(-10))\/(1\/6). List the prime factors of s(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -64. Let z(c) = 363*c + 8*c**2 - 3 + c**n - 4 - 357*c. Suppose -19*h - 77 = -8*h. What is z(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1628\/(-110))\/((-1)\/5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x. Suppose x = -7*a - 50 + 897. Suppose a = 3*t + 4*b, 4*b + 144 = 4*t + 5*b. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, v: 4, w: 1, f: 3, y: 2, e: 1}. What is prob of sequence ffpv?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*b + 47. Let o = b + -42. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.05, -114, -5, 5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 53*c**2 + 1. Let d be u(-1). Calculate the highest common divisor of 36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038451948 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = 9, -2*k - 3*s + 6 = 0. Suppose k = -m - 5*v - 60, -m + 3*v + 52 = -2*m. What is m rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*x - 13, 5*x + 10 + 18 = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1551266 (base 7) in base 11?\nAnswer: 136a08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + -31. Find the common denominator of u and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 2320*j - 2180*j. Put 5, j, 9, 4, 231 in descending order.\nAnswer: 231, 9, 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18086?\nAnswer: 2, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30778 * -0.572.\nAnswer: -17605.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1156 + -515. Suppose -r + 146 = -l. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -9*c + 5*c. Suppose -g + 1 = -c. Solve -2*z = 4*l - 2*l - 6, -g*l + 19 = 3*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5128, 5142, 5164, 5194?\nAnswer: 5232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-3)*(-796257)\/198. What is y rounded to the nearest 100?\nAnswer: -26800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1935186 and 254474?\nAnswer: 5918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004643794 rounded to 6 decimal places?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 7 - 3)*(9*w - 5*w + 7 + 13 + 10*w + 0).\nAnswer: 280*w + 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0917 from -57.518.\nAnswer: -57.4263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrrrrrzzzrzrrrr. Give prob of sequence zz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/((-2)\/1440). Suppose -u = -4*u + x. Calculate the greatest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 5. Let h be 12\/8*(-2)\/q. Let i be 115\/(-200) - (-1)\/5. Which is the smallest value? (a) h (b) -1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkwwkkwwlklwwkl. Give prob of sequence wl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3000, -6\/7, -4, -0.03, 3 in ascending order.\nAnswer: -4, -6\/7, -0.03, 3, 3000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110001111 - 101?\nAnswer: -100011110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -49 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(6*-1))\/((-4)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1323 (base 4) to base 5\nAnswer: -443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.932 + 16.068. Which is the smallest value? (a) -29 (b) q (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.054 - -0.246. Let k = -25 - -25.45. Let d = k + -0.25. Which is the closest to y? (a) -0.4 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 o when four letters picked without replacement from {u: 1, n: 1, o: 6, h: 1, m: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, 6049, 13691, 24395, 38161, 54989, 74879?\nAnswer: 97831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(14)\/sqrt(2) + (sqrt(21)*-2)\/sqrt(3))**2.\nAnswer: 8*sqrt(7) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 37, -1, 5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*l - 0*l + 89, 0 = 3*l + 5*g + 71. Let b(j) = -j**2 - 42*j - 397. Let p be b(-14). What is the closest to l in 0.5, -4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57d52d (base 15) to base 8\nAnswer: 20003705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {s: 4, l: 2, f: 1, c: 4, b: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4062321 to the power of 1\/2, to the nearest integer?\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 2 - 11841\/2820. Let c = n - 40\/47. What is the common denominator of -31\/6 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 475 - -45845?\nAnswer: 45cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 take away 378503?\nAnswer: -378502.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:24 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4376859 is divided by 126?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) - sqrt(192)*-1) + sqrt(192))*3 + ((sqrt(192)*-4 - sqrt(192)) + -5 - sqrt(192)))**2.\nAnswer: -240*sqrt(3) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 34*l**2 + 38*l + 4.\nAnswer: 2*(l + 1)*(17*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1137.741\nAnswer: 341.3223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s + 1. Let v = s + 1. Solve 6 - 3 = -v*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6042 is divided by 178.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 7:09 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 o when two letters picked without replacement from zoohhohhoooohozhz?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12282?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-19)\/(-5) - 3)*10. Let v(u) = -u**3 - 9*u**2 - 6*u - 4. Let w be v(-8). Let o = 4 - w. What is the highest common divisor of q and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159599788 less than -1?\nAnswer: -159599789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/280 and -53\/1946280.\nAnswer: 1946280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43312540 + 5?\nAnswer: -43312531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.07 (c) -3\/2 (d) 2\/33\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from fffmmfmfmffmfmfmmfm?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1839848 centuries in decades?\nAnswer: 1.839848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9\/(-14))\/9)\/(1\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (36 + 6 - 45)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (1 + -3 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + t. Let s be v(-2). Suppose -64 = -2*y + 5*r, 0*y - 3*r + 32 = s*y. Calculate the smallest common multiple of 6 and y.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1535? (a) -2\/3 (b) -1 (c) 2.5 (d) 60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*u = -23286 + 15070 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.1 + 21. Let d = 0.1 + y. Let s = -8 + 13. Which is the third smallest value? (a) d (b) s (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10239?\nAnswer: 3, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73570839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 262300780 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/4 - 5\/2. Let o = -4.5 - -6.5. Let w = o + -6. Which is the smallest value? (a) f (b) -12 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.3, -0.5, 7894, 6, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - cfcb?\nAnswer: -cfcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 20*o = 2*v + 8, 2*o - 807 = 161*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in -29\/4, 13, -0.07?\nAnswer: -29\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*i + 3 + 2, -5*o = 2*i - 33. Find the first derivative of -10*n**i - 420*n - 27 + 420*n wrt n.\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -50*u**3 - u + 6*u**3 + 0*u. Let m be n(1). Does 5 divide m\/12*(-16)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9184 + -0.918409008. What is v rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -303?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/8)\/((-3)\/12). Solve x = -g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -21*n**3 - 2*n**2 - 5*n - 2. Let w(y) = -31*y**3 - 3*y**2 - 7*y - 3. Suppose -2*d + 2 = 3*i, 40*i - 35*i = d + 25. What is d*w(p) + 7*c(p)?\nAnswer: 8*p**3 + p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 4:54 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hy when two letters picked without replacement from hwyhyfyffhwww?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 298, 1190, 2676, 4756, 7430?\n\"Answer: 297*n**2 + n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17678537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = t - 3. Let g = 163009\/894 - 547\/3. Let s = g + 1781\/2086. What is the second smallest value in s, 5, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -23*q + 54. Solve -b = 4*t + 4 + 8, t = -q*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 44, 33, 8, -37, -108, -211, -352?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*z + 107*z + 38*z + 113*z + (2 - 2*z - 2)*(-1 + 1 - 1).\nAnswer: 284*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106423 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(6\/5)\/m*m*m)*m**35*m*m\/(m**(-3\/8)\/m)*m**(2\/25) assuming m is positive.\nAnswer: m**(7451\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 29829.\nAnswer: -29829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9, z: 2}. Give prob of sequence vzv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -6. Let c(r) = -r**3 - 2*r**2 + 13*r - 7. Let i be c(-5). Sort k, i, 0 in increasing order.\nAnswer: 0, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-4 - (4 - -5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3)*(3*c - c**2 - c - 2*c**3 + 8*c**3).\nAnswer: -18*c**3 + 3*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39398.65ml in litres?\nAnswer: 39.39865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) -0.2 (c) 5\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -7\/243 (c) 17\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7126\/(-12))\/((-4)\/33). Let t(y) = -2*y**3 - 6*y**2 + 29*y - 57. Let m be t(-15). Let c = g - m. Calculate the common denominator of c and 83\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, c: 2, x: 4}. Give prob of sequence xc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-1 - (-2 + -2 + 0))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1003 (base 8) in base 4?\nAnswer: -20003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5051178 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -4*s + 0 + 0*s**5 - 1\/6*s**4 + 0*s**2 - 1\/14*s**7 + 0*s**6 + 0*s**3. What is the third derivative of x(t) wrt t?\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1480 and 240.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3295 + -3292. Which is smaller: -422 or o?\nAnswer: -422","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 716cbf - -1?\nAnswer: 716cc0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 3*f + g, 15 = 2*f + 3*g. Suppose 4*m - 12 = -0. Solve m*u + 7 = 16, -4*u = f*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 243 + 78. What is the highest common factor of o and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11562, -11558, -11554, -11550, -11546?\n\"Answer: 4*n - 11566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/14)\/(16\/(-56)). Let o(c) = -3*c**g + 4*c**2 + c**2. Let m(l) be the third derivative of -l**4\/12 - l**2. Calculate m(o(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 20\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.015*2.6.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*q - 16*q + 3536. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16058016 and 617616?\nAnswer: 16058016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -487*l**3*o**2 + 38*l**3*o + 49*l**2*o**2 + 2*l**2*o - 27*l*o wrt o.\nAnswer: -974*l**3 + 98*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 11*k - 10. Let f be 9 + (2 - -1) - 0. Let y be h(f). Which is the nearest to y? (a) 3 (b) -0.5 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1116 divided by -4.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1612025 + 110?\nAnswer: -1611715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1564, 5\/4 in descending order.\nAnswer: 5\/4, -1\/2, -1564","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1580 and 109415?\nAnswer: 437660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*q = -2 + 6, 12 = 3*w + 2*q. Let r(x) = 85*x**3 + 55*x**2 + 55*x. Let b(k) = 6*k**3 + 4*k**2 + 4*k. Calculate w*r(l) - 55*b(l).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 8*b**2 - 8*b + 12. Let p be -31 - ((-2)\/(-2) - 0). Let a(d) = -d**2 + 24*d - 40. Let n be a(21). Let r = n + p. Calculate l(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*y + 360 = 126*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5 - 4645888*s**4 - 1349031144340*s**3 - 8094019614808*s**2 + 148667648*s + 43168104612992 = 0.\nAnswer: -580733, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c*t*v - 3*c*t - 6*c*v**3 - 4*c - 2*t*v**3 + 4*t wrt v?\nAnswer: -c*t - 18*c*v**2 - 6*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 5*f**2 - 8*f - 8. Let y = 10 + -16. Let j be i(y). Solve -j*w + 0 - 1 = 3*c, 4*w - 9 = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.76518 days in seconds?\nAnswer: 1448511.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 4*i - 13, -3*i = o - 10. Sort 3, o, 2 in ascending order.\nAnswer: o, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 596*5.2\nAnswer: 3099.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-4\/7)\/j*j*j)\/j**(-7))**(1\/6)\/((j**(-2\/5))**(-15\/7)\/(j**(2\/17)\/j**(1\/4))) assuming j is positive.\nAnswer: j**(355\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020062064 to four dps.\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/26172 and 5\/162.\nAnswer: 235548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012064?\nAnswer: 2, 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l - 2*l - 5*l**4 + 3*l**4 + 3*l + 2. Differentiate w(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, s: 1, b: 4, t: 5, n: 1}. Give prob of picking 1 b, 1 t, and 1 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14142?\nAnswer: 2, 3, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (4 + -4)) + -3 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*-4*6*(sqrt(1377) - (4 + sqrt(1377) + 2))*-6)**2 + -4.\nAnswer: -134369284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b - 7\/24*b**3 + 1\/168*b**7 - 1\/60*b**6 + 1\/4*b**2 + 1\/6*b**4 - 1\/40*b**5 + 0. Factor i(r).\nAnswer: (r - 1)**4*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -261 + 264. What is the second derivative of -2 - 10*u**2 - 48*u**a + 2*u + 46*u**3 + 20*u**2 wrt u?\nAnswer: -12*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.313 or -7900\/27?\nAnswer: -7900\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 + 6)*(14*k - 12 - 21 + 34) + (1 + 1 + 0)*(-6*k + 4*k + 18*k) as w*k + n and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -1 - (2 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and -16922177296?\nAnswer: 16922177295.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 - -39. Let q be ((-5)\/(-10))\/(r\/2). Let f be 1\/2*(3 - q). Solve 16 = 2*k + 4*n, -f*k + 2*n - 5 + 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -46*w - 35 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.075*-0.232.\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 425370 and 1546800.\nAnswer: 17014800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-2394)\/(-35))\/19*105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {l: 2, z: 1, w: 4, o: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (9 - -8) + (4 - -3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 2:44 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from imriiiimimriimim.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 4 + 2)*((2 + 0 + 0)*(4*m**2 - m**2 - 4*m**2) - 9*m**2 + 3*m**2 + 11*m**2) to q + s*m + g*m**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16334 (base 7) to base 11.\nAnswer: -3530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 24*l - 12. Is 27 a factor of t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*c - 1106 = 3*c - 49*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/19435?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-40)\/(-4) - (-1121)\/(-114). Let r = 157\/3 - 53. Sort v, r, -1.6, 0.4 in decreasing order.\nAnswer: 0.4, v, r, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3092 (base 10) to base 5.\nAnswer: 44332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*w - 11*v = 322*w + 110, -v - 38 = 3*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12662, 25270, 37814, 50288, 62686?\nAnswer: 75002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d - 2890*d**4 - 2126 + 2126 + 2738*d**2 - 4*d wrt d?\nAnswer: -69360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 31. Suppose -2*g = -m*g + 1900. Let h = -946\/5 + g. What is the third smallest value in -5, h, 0.1, -2\/15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 7 + 5)*(-1 + 2 + 6)*(-3*q + 4*q - 3*q)*(-17 - 14 - 15) as y*q + h and give y.\nAnswer: 5796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 1520?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/7, -302, -3136?\nAnswer: -3136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(288\/60)*21\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 367, 542, 697, 826?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 419*f**2 - 16846*f - 237336.\nAnswer: -(f - 372)*(f - 58)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 9, 3, 400, 32 in ascending order.\nAnswer: -1, 3, 9, 32, 400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 1, q: 4, j: 5}. Give prob of picking 3 j.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*(m\/((m*m\/(m*m*m*m*m*m**18))\/m))\/m)*m*m*m)\/m**(-2\/35) assuming m is positive.\nAnswer: m**(-628\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981049?\nAnswer: 7, 283007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 2*v**2 - 34*v - 2. Let z be (-6440)\/3059 - (-4)\/38. Let d(q) = q**2 - q - 1. Give z*d(o) + t(o).\nAnswer: -2*o**3 - 32*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 6*g - 3. Let n be k(4). Let b = n - 3. Let c(i) = 3*i**2 - 4*i + 2. What is c(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c - 17. Let m(z) = -z. Calculate 3*m(k) - o(k).\nAnswer: k + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express n + n + 2*n - 183 + 47*n + 183 + (1 + 1 - 1)*(-n + 0 + 0) + (4*n + 0*n - 2*n)*(6 - 4 - 4) as y*n + v and give y.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 9 = -3*s + 6, -4*s - 50 = v. Let o = -15 - v. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116703 = 67*n - 14014. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrhhrhhhrhh. Give prob of picking 2 h and 1 r.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.5 + 11. Let f = -5 + 8. What is the closest to x in f, 15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 536233.\nAnswer: 536233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**2 + 10*s + 10. Let l be m(-7). Let n = -55 - l. Let w = n - 110. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400556241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26610.23827 + -63.41227. Let x = v - 26582. Let p = x + 35. Round p to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193904, 193871, 193814, 193733, 193628?\nAnswer: 193499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 62784477*q. Let x(o) = -7*o**2. Determine x(i(t)).\nAnswer: -27593233865144703*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000773552 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 16036?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 252*z - 85*z - 85*z - 83*z.\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 d when four letters picked without replacement from ucaacuduauuau?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10425, 10514, 10603, 10692?\n\"Answer: 89*i + 10336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g*i**3 + 112*g*i - 373*g - i**3 - 4*i wrt i.\nAnswer: -3*g*i**2 + 112*g - 3*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1617.7866 - 1618. What is c rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*q + 71 - 3*q - 13 - 2*q**2 wrt q?\nAnswer: -4*q + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/3 - 90*h**3 - 4124*h**2\/3 - 2384*h = 0.\nAnswer: -12, -2, 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483*n + 482*n = 1, 3289530 = 5*w - 5*n. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o - 7 = -76*o. Calculate the greatest common factor of 460 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13*((-54)\/9 + 4). Solve -n = 14*w - 96 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39979, -39978, -39977?\nAnswer: -39976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1. Suppose -137*b + 215 = -136*b. Let s(y) = -219 - 2*y + b + 0*y - 2*y. Give -8*o(h) - 2*s(h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-103)\/(-2) + -3 - 30\/20. Find the second derivative of 2*c + 110*c**3 + g - 16 - 28 wrt c.\nAnswer: 660*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 141303 divided by -2\nAnswer: -141303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15854592 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -883652 + 883652 + 190*s**2 + 63*s**4 - 12*s**4 wrt s.\nAnswer: 1224*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(17) + sqrt(187)\/(sqrt(11) + 1*sqrt(11)) - (-1 + sqrt(17) + -3)**2) + -5).\nAnswer: -426 + 114*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 2*m**2 + 2. Let x(f) = -2*f**3 - 19*f**2 - 17*f - 22. Let h(z) = -c(z) - x(z). Calculate h(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30560)\/84040)\/(2*(-5)\/242).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/2, 28, 3.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 7*p = -j + 2919, -2*p = 0. What are the prime factors of j?\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:51 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*t - 472 + 470, 9 = 3*r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2) + (-2)\/(-32)*2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -228767*j. Let d(v) = -373*v**2. Give b(d(c)).\nAnswer: 85330091*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -32*i + 28*i, 0 = -f - 2*i - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 g when four letters picked without replacement from gnggnggggngggggggg?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p - 960. What is n(138)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyyrsn. What is prob of sequence nsn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82539 is divided by 3176.\nAnswer: 3139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (10\/12)\/(4 - -11) and -56\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2227 + 4210. What are the prime factors of m?\nAnswer: 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 16602933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*i + 3453 = 18114 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*r**3 + 132*r**3 - 67*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.5, -14863 in decreasing order.\nAnswer: 0.5, -0.1, -14863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {b: 5, g: 3, i: 1, u: 5, a: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750803836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 9*i - 156 = 0. What is the remainder when 14 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllsslll. What is prob of sequence ssl?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0 = -5*l - 7, 7 = 2*z + l. Let s be (-3)\/z - 34\/(-52). Which is greater: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 163*p = -159*p - 7, k + 3*p = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 1.1\nAnswer: -27.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 690813?\nAnswer: 690813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let n = a + 4.3. What is the third smallest value in n, 3\/7, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-6*(3 + -3*(-3*sqrt(1100) + 5 + 0 + 4))**2.\nAnswer: -25920*sqrt(11) + 538056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6503 + 28839291.\nAnswer: 28845794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -105*d**2 - 528*d + 622. What is r(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.976849 - -67.829149. Let b = 0.0523 - x. Round b to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + p - 4*p = 5, 0 = -4*n + 4*p + 12. Let r(o) = 5*o**3 - 2*o**2 + 2*o - 1. Let f be r(n). Solve y = 5*y + f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -n + 19 - 15, 2*n = -h + 8. Put 20, 3, h in decreasing order.\nAnswer: 20, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 1910 = -41*r + 5267. Solve 0 = r*y - 172*y - 28 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*w + 1335, -1003*w = -5*q - 1008*w + 6495. What is the remainder when q is divided by 269?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 46 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = d - 5*x, 13*d - 3*x + 33 + 18 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*a**3*o - 2*a**2 - 9*a*o - 9*o wrt a.\nAnswer: -492*a*o - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from {r: 6, t: 6, a: 1, p: 4, s: 1}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 - -3?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-45)*(-21)\/(-98). Which is the nearest to -2? (a) l (b) 0.01 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -22*t + 3. Let x(s) = -43*s + 7. Let q(i) = 7*p(i) - 3*x(i). Let w(a) be the first derivative of 2*a**3\/3 - 96. Give w(q(y)).\nAnswer: 1250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((1 - 4)*105\/63)*15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 147, 146, 145, 144, 143, 142?\n\"Answer: -h + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -0.563950243?\nAnswer: 0.136049757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.03 or -6.4?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**2 + 7*l + 4. Let c = 19 - 14. Let i(p) = -3*p**2 - 6*p - 3. Give c*n(h) + 6*i(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13780.58116 to zero dps.\nAnswer: -13781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 83 = 73 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*d + 42. Let c be ((-2)\/(-4))\/((d - 1)\/50). Suppose -2*l = 2*v + v - 163, 0 = -c*v + 15. List the prime factors of l.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(272) - sqrt(17))**2*4*2.\nAnswer: -4928 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**3 + 66*r**2 + 187*r + 395. Give z(-8).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.75 - 28.15. Which is the third smallest value? (a) -0.5 (b) 1 (c) 2\/3 (d) g (e) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 11*i + 56 = 0. Let t = -9 + i. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -414433?\nAnswer: 414434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 4276685021.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(180) + 1 + sqrt(180))**2.\nAnswer: 24*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4115.1 and 71.\nAnswer: -4044.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 1010434932?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16047*g + 8011*g + 21 + 8001*g + 30 as o*g + q and give o.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 - 125*j**2\/4 + 58*j + 12 = 0.\nAnswer: -3\/16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -8*x + 161, 4 = 920*x - 920*x - 4*s + 24 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -85 - -211. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377 - 392.7. Let x = 16 + y. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032738731 rounded to six decimal places?\nAnswer: 0.003274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 8, 0 = -5*y - 4*c - 7 + 1. Differentiate 5*v + 46 + 230*v**2 - 113*v**2 - 114*v**y wrt v.\nAnswer: 6*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/100 + 17*d**4\/4 + 1445*d**3\/2 + 122825*d**2\/2 + 4*d + 3. Determine z, given that j(z) = 0.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/4 - o. Let g(q) = 23*q + 232. Let x(a) = 14*a + 142. Let n(u) = 30*g(u) - 49*x(u). Determine j(n(c)).\nAnswer: 48*c**2 + 48*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/8 and -123\/34040?\nAnswer: 34040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*p + 99. Suppose f - 16 = 4*g + p, -g - 100 = -2*f. Suppose -3*x = -f - 64. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -12, 1, 7 in descending order.\nAnswer: 7, 1, -12, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/57 + -41\/456. Let i(w) = -w - 6. Let b be i(-7). Which is bigger: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 5. Let r be l(5). Suppose -6 = -b - b. Suppose r = -0*n - 2*n + k + 8, k + 14 = b*n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(700))*4 + -2*sqrt(700)*-3)**2.\nAnswer: 800*sqrt(7) + 70016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**2 - 13853*y + 13853*y. Let x(d) be the third derivative of -d**5\/10 + 2*d**2. What is x(r(s))?\nAnswer: -54*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.200777 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67787 + 17\/(357\/(-105)).\nAnswer: 2, 3, 11, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/3 + 1752*v**3 - 3069504*v**2 + 1792590336*v.\nAnswer: -v*(v - 1752)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:30 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17601, -17598, -17595, -17592, -17589, -17586?\nAnswer: -17583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/((75\/8)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (156\/(-351))\/(2\/117*1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -434, -431, -428?\n\"Answer: 3*q - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 588703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/240 and (-9)\/27*(9\/4 - 3)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61\/427*-7)\/(((-2)\/52)\/(-1))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130819072*o**3*u**5 - 11729*o**3*u + 626*o**3 wrt u.\nAnswer: -2616381440*o**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*f = z - 11, -7 = -5*z - 4*f. What is the common denominator of z\/32*(-2)\/(-6) and 9\/(-64)*2080\/(-120)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 60 = -n. Calculate the remainder when (n\/2 - 0)*(-17 - -13) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71178811 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 1:03 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t = -7 - 65. Let r = 0 - 0.2. Which is the second smallest value? (a) 5 (b) r (c) 0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792475?\nAnswer: 5, 31699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 90 = -3*i + 25, -45 = -3*q + 3*i. Which is smaller: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35053234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/1035*(310\/(-12))\/31.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -628*w**2 - 9. Let u(x) = 157*x**2 + 2. Determine -2*p(g) - 9*u(g).\nAnswer: -157*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 14*n - 15*n - 7*n. Let h(d) = d**2. Calculate o(h(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 60. Let t(y) = -3*y + 75. Let i(m) = -5*n(m) - 4*t(m). Let p(z) = -4*z - 25. Determine i(p(j)).\nAnswer: -8*j - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/261*(-323292)\/(-27870).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3 + 19. Suppose 2*v - 180 = -q*v. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-3)*r)**(-20) assuming r is positive.\nAnswer: r**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 471 = -126. Suppose -30173 = b*j - 26*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124062 divided by -138?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65763 + -36542. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 10:34 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.5 (b) -1.2 (c) -1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*c*r**5 + 10*c*r**2 - 456*c*r wrt r?\nAnswer: -380*c*r**3 + 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -106*i**3 + 2*i**2 - 1. Determine r(-1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 944 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 320 = 4*n. Let h = 348 + n. Let j = -38 + h. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8. Let t(o) = v*o**2 - 3*o**2 + 0*o**2. Let l(r) = -r. What is t(l(f))?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3228574, 6457151, 9685728, 12914305, 16142882, 19371459?\n\"Answer: 3228577*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + ((6*2*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130)) + sqrt(130))\/(sqrt(30)\/sqrt(3)*-3))**2.\nAnswer: 2197\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 20*t**5 - 628*t**4 + 2088*t**3 + 22384*t**2 - 96608*t + 34944 = 0.\nAnswer: -6, 2\/5, 4, 7, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14032883 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -444 divided by 6?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) - (sqrt(297) + (sqrt(297) - sqrt(297)*-2))*4)\/((sqrt(11) + sqrt(11)*1)*2))\/(((sqrt(18)*2 + sqrt(18))*6)\/(sqrt(32)*-4 + sqrt(2))).\nAnswer: 25*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(44) + sqrt(44) + -2 + sqrt(44))**2.\nAnswer: -72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11878929 to the power of 1\/2, to the nearest integer?\nAnswer: 3447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*j = -50, 4*j + 102 = 5*c + 53. Solve 0 = 5*g + 3*d + 24, 4*g + d + c = 2*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211 + 220 + 135*m - 457 + 67*m.\nAnswer: 202*m - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - d - 110. Let c = 13 - 9. Suppose -c*o + 6 = -o. Calculate the highest common divisor of o and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -3*z**2\/2 - 3*z - 1. Let b(m) = -m - 1. Suppose 4*r - 12 = 8. Let t(u) = -u - 2. Let f be t(0). What is f*w(x) + r*b(x)?\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26471 - -56260. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/10 (b) -0.07 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 21*z - 225. Let c be t(-7). Solve -w + 4*u = 9*u - c, -3*w + 18 = u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 1.8. Sort v, -1\/6, 4.\nAnswer: v, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -53, 0.3, 0.012, 4\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 0.4.\nAnswer: -0.2, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 109713 + -27653. What is b rounded to the nearest 1000?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 16*j**2 + 17*j + 6. What is the tens digit of c(15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3. Suppose -9*v + 13 = -5. Which is the closest to f? (a) 4 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1584933 is divided by 1584930.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97 - 42. Let i = k + 0. Let j = -45 + i. Solve j = -3*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 533, 3 in increasing order.\nAnswer: 3, 4, 5, 533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3390779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 28718 = -121052. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19721947723305.0000012 + 19721993143856. Let j = c - 45420559. Let u = j - -8. What is u rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.86 + 1.86. Which is the third smallest value? (a) -3 (b) 5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11997437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -2\/113223, 1, 5, 7, 0, -6 in descending order.\nAnswer: 7, 5, 1, 6\/7, 0, -2\/113223, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -20. Suppose 4*b = -3*s - 0*b - 9, 0 = 5*s - 3*b + 15. What is the nearest to 1 in -3\/4, h, s?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 87\/9 + 2\/6. Let c(n) = -6 + 11 - 16 - 20 + 41 - n. Give c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 29, 44, 59?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242874*h - 3*p = 242889*h + 69, 4*h + 5*p + 10 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*r + 742149 - 735909 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-60)*-50*4\/130?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16187386 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80096839 is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/2, 4, -0.2, 0 in ascending order.\nAnswer: -3, -3\/2, -0.2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**7\/7 + 93*f**4\/4 - 2891*f**3\/3 - 1849. Find the third derivative of x(n) wrt n.\nAnswer: -240*n**3 + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {h: 5, w: 8, a: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 5)\/9*(-3)\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 6*g + 2. Let d be u(6). Suppose 0 = -0*k + d*k + 130. Is 26 a factor of k\/(-2)*(-12)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyy. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxexeyxyyxexyxxyx. Give prob of picking 2 y.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 806808?\nAnswer: 5647656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2293 + 2242.38. Let u = i - 0.38. Let a = 50.999995 + u. What is a rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2ee44325 + -2?\nAnswer: 2ee44323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3729*b**2*u**6 + 7*b**2 + b*u**5 - 2*b*u**2 + 10*b*u + 5*u**2 wrt u?\nAnswer: 447480*b**2*u**3 + 60*b*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f8a967 - -3?\nAnswer: -f8a964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 5*l + 90. Let z be l\/(-4)*22\/3. Let f be -3*1\/z*2. What is the third smallest value in f, 1\/2, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 1 - 1 = y, y = -z. Let g(o) = 6*o**3 - o**2 + 4*o + 4. Let j(c) = c + 1. Let r(w) = z*g(w) + 4*j(w). Give r(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125068607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152472084, -304944169, -457416254?\nAnswer: -609888339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of 2*k**7\/3 + k**5\/20 - k**4\/24 + 98*k**3\/3 - 2*k**2 - 12. Find the second derivative of n(l) wrt l.\nAnswer: 1680*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8372*l + 92053. What is v(11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 681921.7 weeks?\nAnswer: 412426244160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 240971220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from gttggttsggttttgtgttt.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -48594425 divided by -913\nAnswer: 53225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -19*n**3 - 71*n**2 + 239*n - 23. Give m(3).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -63203 times 0.03?\nAnswer: -1896.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 60 (c) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:10 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 321339, 321336, 321331, 321324?\nAnswer: 321315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.6. Suppose -10 = -3*v - b, -5*b - 5 = 4*v - 0. What is the closest to 0 in r, -3\/2, v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/11 + 4863*h**2 - 213960*h\/11 + 213956\/11.\nAnswer: -(h - 53489)*(h - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/15)\/(88\/55))\/(355\/(-71)).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2755 - 2726. What is the highest common divisor of 551 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.9 or -5?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -3*o**3 - 70*o**2 - 2*o + 4. Let p be c(-8). Solve -p*u + 2*h + 15 = -13, 5*u - 5*h = 45 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.101247 + -0.148336. What is z rounded to four decimal places?\nAnswer: -0.0471","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10620 and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37999632 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1152*x**2 + 288*x**2 + 278*x**2 + 297*x**2 + 284*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3603483?\nAnswer: 3, 13, 19, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 18 - 28 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 11:39 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*i = 4*z - 99, 155 = 5*z + 5*i. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5 - 1. Suppose 0*t = -i*t + 2*c - 6900006, -11499997 = 5*t + c. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-28))\/((-2)\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -31. Let a(x) = 3*x**2 + 10*x + 14. List the prime factors of a(n).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6984, 7042, 7098, 7152, 7204?\nAnswer: 7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2021.\nAnswer: 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89355903*t**3 - 80*t**2 + 288*t - 265 wrt t.\nAnswer: -536135418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/61)*g\/(g**(1\/5)*g*g))\/(g**10*g**19\/g) assuming g is positive.\nAnswer: g**(-8611\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016091 rounded to five dps?\nAnswer: -0.00161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 18*j + 472. What is x(-27)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1067*v**2 - v - 311?\nAnswer: 2134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630143 is divided by 157496.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**4\/3 + 1116*y**3 - 3092755*y**2\/3 + 158837400*y - 5679310000\/3 = 0?\nAnswer: 13, 175, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17523)\/972 + 29 + -11?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41\/10, -4, 12, -5, -2\/65?\nAnswer: -41\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let q(z) be the third derivative of 0 - 14*z**2 + 0*z + 1\/12*z**4 + 0*z**3. Calculate q(a(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -21*u - 227. Calculate d(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*p + 4 + 81*p + 91*p - 10.\nAnswer: 22*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 4*n**2 + 2*n - 5. Let l be 1*(15 - 0)\/(-3). Let u be m(l). Let z = u + -4. Calculate the highest common factor of z and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 1454 = 1258 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2397)\/(-2))\/((-63)\/(-12) + -5). Let n = -1503 + g. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 2. Let o(w) = -4*w - 3. Let v(t) = 5*o(t) + 6*q(t). Let k be v(-3). Find the third derivative of -7*c**k + 5*c**3 + 2*c**2 - 4*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o - 9. Suppose -2*h + 3*n = 6*n, 3*h - 3*n = 30. Let q be 18\/((-3)\/h*-3). Does 2 divide x(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 15*g**2 + 16*g + 20. Let c(y) = -2*y**2 + y - 1. Let t be c(3). Let s be w(t). Solve s*h - 21*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1134666 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from llj.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*k = 7, 51 = 4*r + 5*k + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-8)*1*1\/(-4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 6)*(-4 + 10 - 8)*(0 + 2*n**3 + 0) to the form v*n**3 + r*n**2 + w + g*n and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11597764 divided by -2.\nAnswer: -5798882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 280 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -152\/7, 1\/6, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13)*-2)**2 - sqrt(13))*-1.\nAnswer: -260 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*m + 16*m + 8. Solve 7 = m*l + 1 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7)**(-38)*(y\/(y**(7\/6)\/y)*y)\/(y\/y**(-17)) assuming y is positive.\nAnswer: y**(-1693\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, z: 13}. Give prob of picking 2 z and 2 c.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 0, 2\/3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/24 - 2*h**2. Let p(y) be the first derivative of 56*y**3\/3 - 1734. Calculate p(d(j)).\nAnswer: 56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-29)\/(-1) + (-6)\/(-3). Suppose -3*f = 2*z - m, -2*f - 39 = -6*f - 5*z. Let k(l) = -l**3 + 15*l**2 + l - 8. Is k(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r - 7. Let m be k(-1). Let x(q) = -7*q**m - 6 + 637*q**3 - 638*q**3 - 3*q - 4*q. Give x(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 31*a - 285. Calculate b(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2 + 39467*p + 473748 = 0.\nAnswer: -12, 39479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*o + 53 = 53 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 180\/54*144\/5.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 3:18 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 3:12 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -4*w**3 + 0*w**4 + 1\/6*w**6 + 0*w**2 + 0*w**5 + 0*w - 4. Find the third derivative of t(i) wrt i.\nAnswer: 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 24\/(-1) - -2. Let x = -253 - -230. Are x and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67755908 is divided by 67755907.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**3 + 14*t**2 + 10*t + 6. What is the remainder when 165 is divided by m(-5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767596589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (72\/(-14))\/(489\/(-2282))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -10*k**3 - 65*k**2 - 3*k + 308. Let q(z) = 9*z**3 + 52*z**2 + 2*z - 309. What is 4*m(o) + 5*q(o)?\nAnswer: 5*o**3 - 2*o - 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*l - 140, 5*l - 2*x + 48 = 6*l. What is the smallest common multiple of 40 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/15, 0.2, -10\/21, -69 in descending order.\nAnswer: 0.2, -2\/15, -0.3, -10\/21, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.5 + -6.7. Let o = c - -6. Put o, 1\/6, -1 in descending order.\nAnswer: 1\/6, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 2*q**2 - 4*q - 6. Let i be h(-2). Suppose -2*l = k - i, -2*l + 2 = -0*k + 3*k. Solve k = -7*a + 3*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13691, -0.1, 4, -2\/33, 2, 2\/9 in decreasing order.\nAnswer: 13691, 4, 2, 2\/9, -2\/33, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4393 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.01 less than 1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0766804 + -0.4.\nAnswer: -0.3233196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49 + -55. Let w be -2 + x*(-4)\/12. Which is the nearest to w? (a) 2\/11 (b) 2 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212 + -199. Let c(b) = 5*b + 15. Let j(f) = -11*f - 32. Let q(w) = n*c(w) + 6*j(w). Determine q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.0027 to one dp.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**2. Let d(r) = -20*r. Let w(o) = 3912*o. Let g(q) = -408*d(q) - 2*w(q). Give m(g(j)).\nAnswer: 2032128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213640504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of 16\/3*k**2 + 15 + 14\/9*k**3 + 8\/3*k. Factor r(a).\nAnswer: 2*(a + 2)*(7*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00247125 to 4 dps.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 5, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.00114 - -38. Round r to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(76)*2 + -5*(sqrt(76) + -2*sqrt(76)))\/(sqrt(8)\/(sqrt(8)\/sqrt(4)) - sqrt(64)*2))**2 + 1.\nAnswer: 220\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/932 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -345, -342, -349, -372, -417, -490, -597?\n\"Answer: -y**3 + y**2 + 7*y - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**2 - l**3 + 3 - 2*l - 2*l - 5 - 3. Calculate j(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/799 and 1\/188.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 12*v - 6. Let r(g) = g - 1. Let i(s) = q(s) + 3*r(s). Let m be i(-7). Which is the closest to m? (a) -1\/8 (b) 0.3 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 - 116. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (26 + (22 - -15)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 45*b + 9. Calculate m(-4).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022312101 (base 4) to base 7.\nAnswer: -2414545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2. Let o(z) = -1. Let h(x) be the second derivative of x**3\/3 - 5*x**2\/2 + 3*x. Calculate g*h(y) + 3*o(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*j - 2 = 0, 15*j = -s + 13*j - 2. Find the second derivative of 44 - 17*a**3 + 17*a**3 + 2*a**4 + 10 - 4*a + 3*a - 32*a**s wrt a.\nAnswer: 24*a**2 - 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + u**2 + u - 2. Let w be x(0). Let b be 0 - w\/(2\/99). Suppose -11 + b = 4*q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37375 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9768 + -9768. What is the third smallest value in 33, s, -0.1, -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264988 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 12*g**2 - 12*g - 15. What is z(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615016699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 30302?\nAnswer: -30231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 176496*g**3 + 26893?\nAnswer: 529488*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -434, -19, 43 in descending order.\nAnswer: 43, 5, -19, -434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 5 - 2 - 2 + 5 + (-4 + 3 + 3)*(3 - 5 + 4) + 4 - 6 + 3)*(-78 - 84 + 639*j**3 + 162) to m + r*j + t*j**3 + l*j**2 and give t.\nAnswer: 5112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 + 0 + 3 - 3*b**3 + (-b + 0*b - 2*b)*(b**2 + 4*b**2 + 4*b**2) to the form h*b**2 + u*b + s + j*b**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/108)\/((-2)\/(-3))*(-126)\/(-9).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3991.66 - -0.147?\nAnswer: 3991.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(7\/6)))**(-49) assuming x is positive.\nAnswer: x**(343\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1521 - -4520. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 3*p - 2. Suppose 13*j - 6 = 10*j. Suppose -4*w = 2*z - 7*z + 18, j*z + 4*w = 24. Give s(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7556864 is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21996, 25329, 30884, 38661, 48660?\n\"Answer: 1111*v**2 + 20885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 13*p - 5. Let v be u(10). Let h be (-6)\/10 - (-90)\/v. Factor r**2 - 3 - 7*r**2 + 3 - 3*r - h*r**3.\nAnswer: -3*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*k\/(k\/k**8)*k*k))\/k)**6\/(k**3)**(-2\/83))**(-12\/11) assuming k is positive.\nAnswer: k**(71640\/913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23596 - 0.3.\nAnswer: 23595.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*h**3*j**3 + 95*h**3 + h**2*j + 374*h*j - 89*j**3 + 2 wrt h.\nAnswer: 36*h*j**3 + 570*h + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of n**5\/60 - n**4\/24 - n**3\/3 - 2*n**2. Let r be f(-2). Suppose -r*k + 6 = -2*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**3 - h**2 + 5*h - 4. Let m be v(3). Let q = m + -27. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -54472b?\nAnswer: 544728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + -11 - (1 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/16078592 and 43\/64.\nAnswer: 16078592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5*b**2 + 5*b + 36. Let r be j(-9). What is the greatest common divisor of 44 and r?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/3))**(-2\/25))**(1\/25)\/((l*l\/(l*(l*l*l**(2\/7))\/l*l*l))**(-2\/13)\/(l**(1\/9)\/(l\/(l*l*l**(3\/7)\/l)))) assuming l is positive.\nAnswer: l**(2672\/14625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 + 74 = 9*u. Let t be (-184)\/u - 6\/45. Solve 9 = t*w - 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 967 + -954. Let q = 16 + -16. Suppose -u + 2*u - 13 = q. What is the highest common divisor of u and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 177. Suppose 5*w - 22 = 2*t - 1, 0 = 2*t + d*w - 6. Which is the smallest value? (a) 3\/55 (b) t (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25036.\nAnswer: 2, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -m**2\/4 - 2811*m\/4 - 7015\/2 = 0.\nAnswer: -2806, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 722*f**4\/13 - 51946*f**3\/13 - 55280*f**2\/13 - 14600*f\/13 = 0.\nAnswer: -10\/19, 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j**2 - 2*j - 9. Let o(q) = -1 + 8*q - q**2 - 5*q - 2*q. Let t(p) = 4*o(p) - v(p). Does 10 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/928590 and -101\/45810440.\nAnswer: 137431320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of t**3\/3 - 5*t**2 - t + 36. Let v be a(10). Let z = 146 - 1459\/10. Which is bigger: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 97*n - 6. Let o(u) = 8*u**3 - u**2 + 1. Let i be o(-1). Let w be k(i). Let r = -4703\/6 - w. Find the common denominator of -55\/18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3229*i**3*t**3 - 20*i**3 - 17*i*t**2 - 3*t**6 - 2*t wrt t.\nAnswer: -19374*i**3 - 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 6\/5, 4, 0.4, -1 in ascending order.\nAnswer: -1, 0.1, 0.4, 6\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395.8*-0.4.\nAnswer: 158.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*c - 3*c. Let p be -4*c\/(24\/5). Let h = -27889 - -27889.1. Is h greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3724?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424 = -77*d - 294 - 591 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {g: 2, e: 1, m: 1, o: 1, i: 1, a: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*y - 0*y + 27, -5*y + 31 = o. Let a(n) = n**3 + 14*n**2 - 15*n + 2. Let z be a(-15). Find x, given that x + y*x - z*x**2 + 2*x = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56786, -226865, -510330, -907181, -1417418, -2041041?\nAnswer: -2778050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + -21*(-1236)\/630?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 0.86, -3, -2, 2, 5.\nAnswer: -3, -2, 1\/6, 0.86, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 237154197 a multiple of 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 37332 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (174084\/326)\/267*(-4)\/1*(-109)\/(-8).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1 + 0 + -1*(sqrt(171) + 0) + (-2*sqrt(171) + 1 + sqrt(171))*5*6)**2.\nAnswer: -5220*sqrt(19) + 154741","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 17 = 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = k + 2, 0 = 2*k - 5*k - 2*c - 3. Let v(l) be the first derivative of -l**4\/2 - l**3 - 3*l + 5. Let q(i) = -i**2 - 1. Determine k*v(a) - 3*q(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 2, d: 7, x: 1, v: 1, k: 4}. What is prob of picking 2 j and 1 v?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:32 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 639 - 319. Suppose 0 = v - 6*v + p. Suppose -r - 4*r = -5*y - 30, -3*r = 3*y - 30. What is the greatest common divisor of r and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 2)*(17*n**2 - 36*n + 36*n + (2*n + 2*n - 12 + 11)*(10 - n - 10)*(1 + 0 - 3)).\nAnswer: -50*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48, -19, 30, 105, 212, 357, 546, 785?\n\"Answer: n**3 + 4*n**2 + 10*n - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1012)\/(-207)*(-17)\/(-68). Put -1.53, -0.4, p in decreasing order.\nAnswer: p, -0.4, -1.53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3939555 and 395485.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 7*c**4\/12 + c**2 + 13*c + 1. Let h(g) = 2*g - 4. Let k(n) = 2*n - 5. Let t(y) = -5*h(y) + 4*k(y). Determine t(r(j)).\nAnswer: -14*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, p: 5}. What is prob of sequence ppvp?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2098833, -2098721, -2098609, -2098497, -2098385, -2098273?\nAnswer: -2098161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:45 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2920766650+94950\nAnswer: 2920861600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16972 - -16992. Solve 0 = 3*j - 3*s - 15, -30*j + 26*j - 4*s = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i - 3 = -31*i. Let m(d) = 125*d + 14. What is the hundreds digit of m(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: (4\/(-10))\/(2\/20*-16)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15365649 - 293535649. Round s to the nearest 1000000.\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 605?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000161654457 to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 30. Let a(p) = -p**3 - 4*p**2 - 2*p - 6. Let g be a(-4). Solve -4*s - s = 5*d - h, 0 = 5*s + g*d - 9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(2 + 3 + 4) + k + k - k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10288809*o**3 - 25745418*o.\nAnswer: -61732854*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y**3 - 176*y**2 + 692*y - 688 = 0. Calculate y.\nAnswer: 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(-5*sqrt(54)) + sqrt(3267) + 1 + 0 + sqrt(147) + (sqrt(675) + sqrt(27))\/sqrt(9) + -4)**2.\nAnswer: -1378*sqrt(3)\/5 + 475396\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 - 7*w**2 + 7*w**2 + (0 - 3*w**2 + 5*w**2 + 2)*(-2*w**2 + w**2 - w**2).\nAnswer: -6*w**4 - 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 749, 1126, 1503, 1880?\nAnswer: 2257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7*k**2 - 23*k - 13. Let f(o) = 11*o**2 + 35*o + 20. Let j(p) = -5*f(p) - 8*g(p). Let a be (-126)\/(-10) + (-32)\/(-80). Let w = a - 21. Give j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119466385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*w - 3 - 2 = 0, 4*w = 5*m - 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2836 (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 13*z + 4. Let p be m(13). Suppose 3*k = -4*t - 2*k - 10, 2*k + p = 5*t. Solve v - 3 - 1 = t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 475143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.279 + 120.721. Let o = k + -121.00000122. Round o to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 2*m + 12, -24 = z + 13*m - 9*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 3*g)*((-2*g**2 + 3*g**2 - 2*g**2)*(-3 + 3 + 2*g) - 2*g**3 + g**3 - g**3 - 32*g**3 + 313*g**3 + 60*g**3).\nAnswer: 337*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20736 and 3168.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 2 + 1\/3*m**3 + 2*m - 2*m**2. Is 10 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 2 - (-35)\/(-12) and -43\/26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -74*i + 43. What is the tens digit of y(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - u = 0, 4*u = -2*k + 5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23262060.\nAnswer: 2, 3, 5, 29, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.7 + 24. Let x = i - 0.3. Let p = 3443\/13 + -265. What is the biggest value in p, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-4))\/(2\/(-8)). Let n = -2.95 - 0.05. What is the nearest to i in -5, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(-4 + sqrt(6)\/sqrt(3)*-6))**2*2.\nAnswer: -1056 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6958 + -6958. Let k(l) = l**2 - 3*l - 15. Let x(f) = 4*f - f**2 + 8 + 1 + 5. Let r(n) = -3*k(n) - 2*x(n). Calculate r(t).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3725 and 265085155.\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 2*g + 3*g)*(-3 + 3 - g) - 2*g**2 - 1 + 1 + g - g - 5*g**2 + (1 + 0 + 1)*(g**2 + 3*g - 3*g) + 2*g**2 + 3*g**2 - 6*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3735 = -7585. Suppose 2*v = -8*u + 4*u + 2258, -2*v = -2*u - w. Is 29 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 814 + -815.28. What is y rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 3 + (126 - 131) - -4\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 2, l: 1, m: 4, s: 7}. What is prob of sequence mm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and -4.\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2\/5 (c) 0.5 (d) 227 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.6 times -1?\nAnswer: 322.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1537\/4 + 384. What is the second smallest value in 0.1, -7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-489)\/1630)\/(18\/(-5)*1)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11002200121 - 1033?\nAnswer: 11002133022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 = 114*z + 38*z - 5390 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x**3 + 24*x**3 - x**3 + 18*x**3)*(69 - 12*x - 72 - 44*x).\nAnswer: -1792*x**4 - 96*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -202\/3 in increasing order.\nAnswer: -202\/3, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -237 - -222. Let z = i - -39. What is the least common multiple of z and 44?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**3 + 6*s**5 - 4*s**3 - 3*s**5 + 3*s**5 - 2*s**5 + (-3*s**2 + s**3 + 3*s**2)*(s**2 + 3*s**2 - 3*s**2) - 42*s**5 + 3*s**5 - 145*s**5.\nAnswer: -179*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-9))\/(1124\/843).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.1 + -28.1. Sort 0, -3, z, 9 in decreasing order.\nAnswer: 9, 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(0 + 1 + 0)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)**16*g*g**(-3\/2)*g*g\/(g\/((g*g\/(g*g**(-2)))\/g)) assuming g is positive.\nAnswer: g**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 79. Suppose 2*b + 5 = z + 23, 0 = z + b + 9. What is the lowest common multiple of 9 - h\/((-28)\/z) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*s - s - 2*s)*(1 + 18 - 5) + 0*s + 2*s - 4*s)*(-727*s**3 - 469*s**3 + 988*s**3).\nAnswer: 3328*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*y - 839 = 9925 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176644 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 66, 0, 1.48, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2 - 8660858*r + 18752615324041 = 0. Calculate r.\nAnswer: 4330429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 31472673\nAnswer: -31472702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13167 + 25.\nAnswer: 24.86833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, u: 1, o: 6, w: 2}. What is prob of sequence wu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/5 and (-86)\/6 + 13 + -11 + -3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75858?\nAnswer: 2, 3, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 2571 - 7*f - 2*f + 5077 - 2535 + 5*f. Let i(g) = 5*g**2 - 9*g - 59. Give -4*i(d) + 9*o(d).\nAnswer: -2*d**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 61\/24 (b) -14 (c) 0.4 (d) 5 (e) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 147451*1\nAnswer: 147451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*(sqrt(135)*-2)\/sqrt(5))\/(4*((sqrt(729)*1 + sqrt(729))*1 + sqrt(729))).\nAnswer: sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2307 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*p**2*t**5 + 10559*p**2*t - 3*p**2 + 11528*p*t**5 wrt t?\nAnswer: 60*p**2*t**3 + 230560*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + sqrt(300))*-1.\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 624?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**3 + z**2 - 288*z + 169. Give h(-8).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - 11)*(-8)\/(-20) - -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/(i*(i\/((i\/i**(1\/8))\/i))\/i*i*i)))**39*i**(-11)*i\/(((i*i**10*i)\/i)\/i)*i)**25 assuming i is positive.\nAnswer: i**(4975\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102513100 - 4?\nAnswer: -102513104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 442 + -374. What is the remainder when g is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/597366 and 143\/108612?\nAnswer: 1194732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -46 + -e497?\nAnswer: -e4dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:45 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869342.\nAnswer: 2, 3, 311557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 183? (a) 35 (b) 154 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -296, -595, -892, -1187, -1480, -1771?\n\"Answer: f**2 - 302*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 10*s + 6. Let z be i(-11). Let f(r) = r**2 - 16*r + 16. Is 5 a factor of f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrygyrgyyr. What is prob of sequence ygr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {m: 4, r: 1, j: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 576?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111553927 to the nearest integer?\nAnswer: 10562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by -5526340.\nAnswer: 47\/5526340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 0 = u. Let x be 86\/7 + u\/21. Suppose -3*r + 3*n = -x, 4*r + 0*n + 2*n = 16. Solve -5*i + 12 = -2*v - 4, 2*i = r*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -2*h**6\/3 - 7*h**4\/4 + 17*h**3\/3 - 387*h**2\/2 - 4225. Find the second derivative of g(x) wrt x.\nAnswer: -80*x**3 - 42*x + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167208724.\nAnswer: 2, 2777, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4690 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -30. Let u = 30 - 14. What is the remainder when i is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j - 3 = 0. Let h be 3\/j + 10 - -1. Let p be (-1)\/(-2)*h\/(-5). Is p > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 14) to base 13\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45\/29137 or 1?\nAnswer: -45\/29137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 202376 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 11:00 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1921 and 3977600?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 73 - 52599?\nAnswer: -52526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and 29055.\nAnswer: 2179125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 1\/91, -25689?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -85, -209, -383, -607?\n\"Answer: -25*z**2 + z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 + 139*b**2 - 861*b + 1305 = 0 for b.\nAnswer: -145, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50.19 + -0.19. Let m = -50.4 + t. Which is the second biggest value? (a) 3 (b) m (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-51) + (-4)\/6. Suppose -t + 6*t - 130 = d. Suppose -t = -6*j + 262. 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: Round -0.00003427 to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1260)*1)\/(sqrt(63)*-4).\nAnswer: -4 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773083 - 2803?\nAnswer: -1775886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -860*0.41836.\nAnswer: -359.7896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -1 (b) -0.1 (c) 2 (d) -0.02 (e) -0.09 (f) -14.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-15) + -1)\/(((-728)\/20)\/(-7)). Which is the closest to -2? (a) n (b) -4\/11 (c) 2\/7 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (352\/22 - (-710)\/(-40))*4\/(-14). Which is the second biggest value? (a) p (b) -8 (c) -1\/12 (d) 5\/4 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 4:13 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1567638 and 645498?\nAnswer: 10973466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 + -a7827?\nAnswer: -a77a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 48*z + 1. Let o = 18 - 0. Let q be o\/6 + -1 + -1. Is a(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 180 (b) -1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 9300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 5, 0 in decreasing order.\nAnswer: 5, 0, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 29*s + 32. What is a(14)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55\/4 of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-20))\/(12\/(-640212)). Let t = f + 2665. What is the common denominator of -27\/4 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -68 (b) 11 (c) -4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*y = 7, 3*y + 12 = 2*c + c. Suppose 4*q - 64 = -0*l - 2*l, -c*l = 4*q - 94. Is l a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqd when three letters picked without replacement from {d: 7, q: 2, e: 3}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-3)\/(-2))\/(-3)). Suppose 0 = -7*u + 3*u + s*f + 16, -4*f = 2*u + 16. Suppose u*a + 1\/2*a**2 + 0 = 0. Calculate a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -105*r - 91. Let g(j) = -7*j - 6. Let v(i) = 91*g(i) - 6*p(i). Let c be v(-2). List the prime factors of (c\/(-6))\/(5\/(-15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -0.2 (b) -155\/154 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1067 is divided by 1049.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from naaakknk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/45076 and 101\/360608.\nAnswer: 360608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d + 0*d - 102 + 44 as t + u*d and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -76225810 to the nearest 10000.\nAnswer: -76230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - (sqrt(600)*1 - sqrt(600))*-5)\/(sqrt(90)\/(-1*sqrt(9) - sqrt(9))))\/(-2*sqrt(108) + sqrt(108) + (sqrt(12) - sqrt(108)*3)).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -37.5 + 0.574.\nAnswer: -36.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/120 - 2*y**5\/15 + y**4\/3 - 7*y**3\/6 + 3*y**2. Let u be r(-9). Solve 34 = 5*k + 3*d, -k + 4*d - 17 = -u*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzgh when four letters picked without replacement from gkhzkgghzfgy.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/49 and 1388\/1008 + 1\/9.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -19. Let o(k) = k**3 + 5. Let i(m) = -m + 3. Let z = 21 - 15. Let n be i(z). Let y(u) = -u**3 - 3. Calculate a*y(s) + n*o(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -261 + 266. Suppose 0 = 4*g - 5*n - 2975, -7*g = -d*g - 5*n - 1475. Is 86 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(108) - sqrt(108))\/(sqrt(864)*-2 - sqrt(864))*2 + -4)**2.\nAnswer: 8*sqrt(2)\/3 + 146\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*2\/24 - 3\/18. Suppose -3*z + p + 26 = r, 8 + 0 = 2*z - 3*p. Suppose 5*c - z*c = -120. What is the remainder when 95 is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from albtbt. What is prob of sequence al?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 9*t - 11. Let u be v(-8). Suppose 15 - 14 = z. What is the third biggest value in z, u, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 1 - 1)*(-40 + 8*b - 5*b - 5*b).\nAnswer: -4*b**2 - 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 25, 0.07, -0.5, 3\/5, -4, -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -110111111?\nAnswer: -111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045876 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161774 = -36*n + 173422. Suppose 103*x - 104*x = -n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144322 (base 6) to base 10\nAnswer: 13946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 844 and 83978?\nAnswer: 167956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*y + 724 + 869 = 263 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 42894, 85822, 128802, 171852, 214990, 258234, 301602?\n\"Answer: 3*m**3 + 8*m**2 + 42883*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 3. Suppose s*l = 18 + 33. Solve -5*t - 2 = -l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*j = -768*j - 787*j + 7968 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 1)*(-21 - -12). Which is smaller: -7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 6*d - 5. Solve l - 10 = d*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4363058\/3*f + 2\/9*f**3 - 2954\/3*f**2 - 6444236666\/9.\nAnswer: 2*(f - 1477)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 23, 17, 9, -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27937 divided by -6.\nAnswer: -27937\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 28 = -2*q, 0 = 5*q + 5*x - 128 + 38. Suppose -q = h - 4. Which is the fourth biggest value? (a) 0.5 (b) -0.1 (c) h (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/9*(14 + (-328)\/32). Sort 4, -2, 3, -11, h.\nAnswer: -11, h, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24379 = -2*b - 240165. What is the hundreds digit of b\/(-92) + (-2)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**5 - 6 + 6 + (5*u - 5*u - 2*u)*(u**4 - 4*u**4 + 2*u**4) + 9*u**5 + 5*u - 5*u.\nAnswer: 5*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 1728 (c) 0 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*r - 0*r. Suppose -2*x - 3*y + 173 = 0, -155 = r*x + 4*y - 605. What is x rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-2)\/(24\/(-10863)) + 52\/(-208)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Let n(r) = r**2 - 3*r - 5. Let o be n(t). Let p = 9 - o. Solve p*s - 2*i = -4*i - 2, i + 1 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3476*x = -3488*x - 72 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 2*h + 7351, 3*c + h + 1005 = 5415. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -33*w**2 - 12. Let d(x) = 13*x**2 + 5. Let b(i) = -14 - 6 + i**2 - 2*i + 13 - 3. Let k be b(-3). What is k*f(p) + 12*d(p)?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3011 + 3013. What is the smallest value in 237\/5, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and 4290?\nAnswer: -3861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277130 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 950, 14, -1, 168 in descending order.\nAnswer: 950, 168, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of 0*p**3 + 0*p + 0 + 0*p**4 - 3*p**2 - 1\/30*p**5 + 1\/40*p**6. Find the third derivative of z(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809*o = -2412 - 251 - 1224 - 4203 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 - 85*j + 244. What is o(24)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*z - 20, z - 45 = -0*g - 5*g. Let p(w) = 7*w - 5. Is p(g) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-112)\/35)\/(-4))\/(2\/5). Factor 3\/7 + 3\/7*p**g - 6\/7*p.\nAnswer: 3*(p - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/3)\/(k*k**(2\/13)))**25*((k**(2\/7))**32)**(2\/39) assuming k is positive.\nAnswer: k**(-10022\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + 33. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 17 = -5*i, -2*i + 2*o - 3 = 3. Solve -i = r + 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-15\/8)*b**23 assuming b is positive.\nAnswer: b**(169\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 8*o + 3. Let s be f(-4). Solve 3*j - x = 5*j - 2, 0 = 3*j + s*x - 9 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12*g - 9*g = -678, -g = -3*o + 1031. What are the prime factors of o?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-5 + sqrt(363)*2)**2*-5 + ((-4 + sqrt(363) + 0)**2 - (sqrt(363) + 1 + sqrt(363) + -3)) + 1.\nAnswer: -7004 + 990*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-9)*15*9\/2. Let b = 1167\/13 + t. What is the second biggest value in -2\/9, 1, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18310 - 6917. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1 (b) -1\/2523 (c) 0 (d) 2\/13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 30. What is the remainder when 17 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2 + (-1)\/2. Suppose -v = -4*i + 20, 0 = -v - c*v + 2*i - 10. Let d be 2960\/2340 - 3\/27. Which is greater: v or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t, 14 - 96 = -3*b + t. Let y be 383\/7 - (-8)\/b. Let i = y - 22. Solve 0 = 5*q + i - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 531 - 44. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 4*d - 2*d + (-3 + 3 + d)*(-2 - 2 + 2) + 2*d + 2*d - 5*d - 42*d - 13*d - 95*d.\nAnswer: -154*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14325546 divided by 6.\nAnswer: -2387591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1567262?\nAnswer: 2, 47, 16673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68101801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12613457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 3.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, d: 6, k: 2, e: 4, z: 1}. Give prob of sequence llk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4434, 8361, 11782, 14697, 17106, 19009?\nAnswer: 20406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**2\/11 + 1295*k\/11 + 2594\/11 = 0?\nAnswer: -2, 1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -22*y**3\/3 - y**2 - 20. Let z(n) = n**2. What is p(z(b))?\nAnswer: -22*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1153 + -5?\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51050 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/3)\/(n**(-4)*n)*(n**(-2\/23)\/n)\/n**(-18) assuming n is positive.\nAnswer: n**(1397\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-32) + 2)*-4*4. Put 4, q, 5, 1 in ascending order.\nAnswer: q, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**3 - 86*q - 25*q**2 - 3*q**2 + 8*q**3 + 28*q**2 to the form y*q + x*q**3 + n + k*q**2 and give y.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2. Let i(v) = -2*v + 20. Let o be i(7). Let k(c) be the second derivative of 0 + 0*c**2 + o*c + 1\/6*c**3. Calculate d(k(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 150*a**4 + a**3 - 157*a**2 wrt a?\nAnswer: 3600*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 4. Let l be z(3). Let y = -512 - -511. Suppose 0 = 4*x - x + 6. Sort x, l, y in decreasing order.\nAnswer: l, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140675774 by 158.\nAnswer: -890353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjbbwjdtbjbbwtbwb. Give prob of sequence jdbb.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - -5. Let q = -3283 + 3284. What is the closest to t in -0.1, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 233*b + 935. Calculate x(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/4 - 9*d**3\/2 - 121*d**2\/4 - 90*d - 100 = 0. Calculate d.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 40650*v**2 + 3028635*v - 56156380.\nAnswer: -5*(v - 37)**2*(v + 8204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h + 161. What is k(30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.178 + 0.822. What is the second biggest value in o, 2\/9, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 21*w**5\/20 + w**3\/6 - 9*w - 27. Let u(n) be the first derivative of a(n). Determine u(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5886 and 38112?\nAnswer: 37387872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 27*c + 21. What is the remainder when r(-27) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7728955.\nAnswer: 5, 13, 118907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 6. Let y be h(9). Let m = y - 64. Let i = m - -58. What is the closest to -0.1 in 2\/3, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141234318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27626.000057588 - 27626. What is b rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35904962*t**2 + 851*t - 1245 wrt t?\nAnswer: -71809924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/174 = -758?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tffjttt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/11 + 324414*i\/11 + 29492.\nAnswer: 2*(i + 1)*(i + 162206)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*f - 23 - 5, 0 = -2*w - 8. What is the closest to -1 in -5, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 442, 646?\nAnswer: 850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k - 3*x + 24 = 0, 0 = -k - 2*x + 11. Let z be 0 - (-3 + (-3 - -4)). Suppose z*r = 4*r - 18. Calculate the remainder when r is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 512\/11 + -6*(-4)\/(-44). Solve -39 = p - q for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-55))\/(256\/320)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -i**4\/6 - 3*i**2. Let n(v) = -1. Let m(t) = t**2 - 4. Suppose d = 2*d + 4. Let q(h) = d*n(h) + m(h). What is u(q(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = o - 65, 129 = -2*u + o + 155. Suppose 0 = l + 2 - 0. Let m be l + (-17*7)\/(-1). Calculate the highest common factor of m and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5321 + -4?\nAnswer: -5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, 24, 76, 148, 240, 352?\n\"Answer: 10*c**2 + 2*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-12) - (-1 - (-3)\/2). Suppose v = -16*y + 19*y - 120. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3683 + 3682.999998326. Round z to 7 decimal places.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390 and 1300.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131407 or -131401?\nAnswer: -131401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44932 is divided by 8970.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130301 (base 4) to base 3.\nAnswer: 2112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (119808\/(-198))\/26?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 160*o + 1988. Is p(0) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 14508*d**2 + 26397090*d + 314679384.\nAnswer: 2*(d + 12)*(d + 3621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/((-1)\/12). Suppose -2*n = 5*h - 638, m*n = -0 + 12. Let x be (-1 - -18) + (0 - -1). Calculate the highest common factor of h and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -4. Let u be (p - (-2)\/(-2)) + -6. Let f = 92\/513 - 2\/27. What is the second smallest value in u, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in 0.2, 2\/7, 0.09, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suusyubbub. Give prob of picking 2 u.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*b = 2857, -3257 + 17521 = 5*q + 3*b. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 5. Let d be r(7). Suppose 0 = d*n + 15 + 13. Let o be 2\/7 + 46\/n. Which is the nearest to -0.1? (a) -1 (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**4 - 393*x**3 - 885*x**2 + 11481*x + 11970 = 0?\nAnswer: -6, -1, 5, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 + 11*p + 15. Let m be i(12). Is (-4)\/(-4)*111\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45363962 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 9 = 8*a. Suppose -v + 5*d + 143 = 0, 0 = -a*v - 4*d - 0*d + 334. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1091*t - 3290*t + 1101*t + 1106*t + 121. What is w(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 23*c**3 - 3*c**2 - 3*c + 3. Let q(v) be the first derivative of 23*v**4\/2 - 7*v**3\/3 - 7*v**2\/2 + 7*v + 1934. What is 7*m(s) - 3*q(s)?\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/35)\/((-42)\/140).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4744913 + 12802913. What is r rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114648765?\nAnswer: 3, 5, 7, 11, 17, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 2:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0268 - 3.9732. Let f = 0.11 - 0.51. Which is the smallest value? (a) 2 (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -400 divided by -5.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9.05. Let w = u + 0.15. Which is the closest to 0.3? (a) w (b) -5\/4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1325*k - 698. What is the thousands digit of j(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 30*s - 10. Solve 6*x - x = 3*d - 13, 3*d + 2*x + s = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 - 1300.89495\nAnswer: -1302.49495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26850 and 18975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 223\/2 - ((-81)\/6)\/(-9). Suppose -r*c + 112*c - 200 = 0. What is the highest common divisor of 40 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/7, -0.51, 4 in decreasing order.\nAnswer: 4, 1\/7, -0.5, -0.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffudffufd. What is prob of sequence uddf?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/594 and 91\/48061404.\nAnswer: 528675444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13034 - 13034.0023248. Round c to 4 dps.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 26*z**2 + 153*z + 678. What is y(31)?\nAnswer: 616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 5838403?\nAnswer: 5838402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let v be (-20)\/(-6)*(-12)\/(-10). Suppose 0 = -v*d - 0*d + 24. Let q(k) = -6*k + d*k + k**2. Give q(n(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 + 340 - 154)*(-1 + 4 - 2)*(-2*m**2 - m**2 - 5*m**2).\nAnswer: -2096*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*f + 17*f + 12*f + (3 + 1 - 5)*(-2*f - f + 2*f))*(2*f**3 - f**3 + f**3).\nAnswer: 38*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000595 to six decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 214960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 510*d**2*o**2 - 105998*d**2*o + d**2 - 74022*d*o**2 - 6*d*o - o - 16 wrt o.\nAnswer: 1020*d**2 - 148044*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -19?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Suppose -3*g + 17 = 5*f, u*g - 64 = 4*f - 11. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1410 - -220?\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 0*p + 4*p + (-235 + 119 + 127)*(p - 4*p + p) - 1 + 1 - 2*p + 41*p to b*p + v and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**2*g*n**3 - 2*c**2*g - 83*c**2*n - 112*c*g + c - 2*g*n**3 - 2*g*n wrt c.\nAnswer: -2*g*n**3 - 4*g - 166*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1166.943 + -1168.1. What is j rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 12 = z, 4*f = -3*z + 6*f - 24 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 2*d + 4. Let u(y) = -1 - 3*y - y - y**2 + 5*y. Determine -t(m) - 2*u(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 132 - 101*s**3 - 45 - 120*s**3 - 39.\nAnswer: -221*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -1 - (-5757 + 5797)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**3 - 376*k**2 + 91*k + 4306. What is a(125)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 16 = 2*p, 0 = 3*p - 5*c + 4 + 21 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 101\/6 + -517\/30. Which is smaller: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 59?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Let p(z) = -360*z**2. What is p(q(j))?\nAnswer: -1440*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -573796428 and -3752.2.\nAnswer: -573800180.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apfii. What is prob of picking 2 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-20)*(-1)\/3. Which is the third smallest value? (a) 4 (b) 0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-6))\/(84\/(-1239)) and (-57)\/70 + 4\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 at most as big as 259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1627\/2, 5, 3, -1.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11188*i = -11183*i - 5*l - 25, 0 = 3*i - 2*l - 5 - 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4529357 - 4528718.996725. Let y = 638 - a. What is y rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2550893*o*y**3 - 8*y**3 - 390*y**2 - 55*y wrt o?\nAnswer: 2550893*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -3*m**5\/100 - 1159*m**4\/10 + 1546*m**3\/5 - 134*m**2 - 23*m. Solve y(v) = 0.\nAnswer: -1546, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257309621 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 189181870 from 16.\nAnswer: -189181854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -4*z + 3, -2*z + 3 = 5*r - 18 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*m + 90 = 58*m. Solve 2*a - m = -4*u - 3*a, 5*u + 12 = 4*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h**3 + 74*h**3 + 12*h**3.\nAnswer: 71*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-570))\/((-8)\/(-6)). Let p = -143\/684 + k. Let x = -467 - -6069\/13. What is the smallest value in x, p, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55984 + 13756 = 2575*z - 33895 - 32840 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by -52?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43015.\nAnswer: 5, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1627638547.699999674 + -1627638546. Let z = 1.7 - k. What is z rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1966 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462687016.\nAnswer: 2, 11, 5257807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 17. Let s(j) = 3*j + 9. What is -7*s(n) - 3*v(n)?\nAnswer: -3*n - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -427872816 divided by 15281172\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(-3*(-11)\/(-88)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 6 = 4*g - 22, -3*g + 2*x = -28. Let q be 2 - (6\/(-3) - 2). Suppose 2*c + q - 126 = 0. What is the highest common divisor of c and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * -330\nAnswer: 7590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -527 - -1180. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 2. Suppose 4*h + h = 0. Suppose c - 3*c + 22 = h. Suppose 4*w - 5 = -l + 9, c = 3*w + l. What is b(w)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 40. Solve -3*p = -v*a + 3 + 25, -p = 5*a - 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*n, g = -2*n + 4*n. Let m = 2 - g. Let b = m + -5. Which is smaller: b or -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 15. Suppose -l - f + 2 = -3, -l + i = 4*f. Suppose s + l*v = -5, 5*v + 1 = -2*s - 4. Solve 2*r - s + 3 = 5*u, 5*u + 6 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**5\/9 - 124*o**4\/9 - 52*o**3\/3 + 844*o**2\/9 + 1640*o\/9 + 256\/3 = 0.\nAnswer: -2, -1, 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235159*l**3*z - 5*l**3 + 1824205*l**2*z + z wrt l?\nAnswer: 1410954*z - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4 - 3*o**2 + 2*o**2 + 11*o - 5*o. Let z be u(6). Suppose z*t + 32 = 5*t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 6*a**2 + a - 35 + 3*a**3 - 30 + a - 2*a**3 + 58. What is k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 13 = 40*p + 4*s + 63, -5*p + 9*s + 133 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13 + -8 - (1 + 1). Let u(d) = 1 + 5*d + o - 2. Calculate the remainder when u(2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*q - 10, 9*h - 13*h - 20 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j - 1. Let v(d) = -d**2 + 36*d + 2. What is -2*l(w) - v(w)?\nAnswer: w**2 - 34*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*b = 4, p + 3*p - 2*b = 12. Suppose p*o = -2*u + 80, 6*o = u + o - 10. Let v = u + -18. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/15 - 0) + 231\/35. Let t be 71 - (2 - 1)*1. Calculate the highest common divisor of t and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -0.03, 5\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1169*o**2 + 4649*o**2 - 1198*o**2 + 4 - 1119*o**2 - 1173*o**2 - 4.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42125, -42128, -42141, -42170, -42221?\nAnswer: -42300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3) + -67 + 53.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.058, 7, -17?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.9726219 + -187337\nAnswer: -187337.9726219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5554610 - -5?\nAnswer: 5554615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + (sqrt(125) - (3 + sqrt(125))))*6 + -1 + 0.\nAnswer: -19 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + 4 - 4 + (3 + 0 - 1)*(4*d**5 - 6*d**5 + d**5) + 10655*d - 21310*d + 321*d**5 + 10654*d + 3.\nAnswer: 320*d**5 - d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:02 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.07, -1, -2\/9, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-12)\/((-60)\/(-15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54622669187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -101b3 + -2?\nAnswer: -101b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 32. Let w(o) = -o**2 - 13*o - 15. What is the units digit of w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1786498*l**2 + 1786658*l**2 - 3573060*l**2.\nAnswer: 96*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 10, 34, 78, 148, 250, 390?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 17, a: 3}. Give prob of picking 1 a and 1 m.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1.1, 3\/4, 1\/4, 0.2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 11*g - 9. What is the remainder when ((-149)\/(-30))\/((-332)\/(-9960)) is divided by t(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 26080 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((39 - 29) + (-1 - -2))\/1. Differentiate 0*u**2 + 54 - 9*u**2 + 232 - 3*u**3 - m*u**2 + 0*u**3 with respect to u.\nAnswer: -9*u**2 - 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 9) to base 14\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 10*y = -15. Solve 3*r + y = 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**2 - 70*v + 348 = 0. What is v?\nAnswer: 6, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (5 + sqrt(75)*1)**2 - (-5*-4*sqrt(75))**2.\nAnswer: -29900 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1046 + 1240. Is c a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o - 3*o - 5*o + 4*o + 0*o - 2*o + 1 - 1 + (-3 + 6 - 4)*(0*o + 2*o - 3*o) + 1 - 1 - o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c8 (base 15) in base 2?\nAnswer: 1001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 312*j - 4. Let f be k(1). Let b = f - 289. Calculate the greatest common factor of b and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h. Let i(m) = m. Let s be i(2). Let r(v) = v**3 - 12*v**2 - 14*v + 16. Let f be r(13). Let q(g) = -f*g - s*g + 3*g. What is j(q(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 13\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 19 = 24*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(6)\/sqrt(2)*4 - (sqrt(3)*2 + -2))**2 + 0 + -1.\nAnswer: 11 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25270, -100616, -226192, -401998, -628034, -904300?\nAnswer: -1230796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(1254\/1892))\/((-6)\/36*4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 190 + -379\/2. Suppose 47*j - 51 = 44*j. What is the smallest value in j, 1\/6, 5, o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8731, 34882, 78401, 139234, 217327, 312626, 425077?\n\"Answer: -9*i**3 + 8738*i**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/2639 and -59\/195.\nAnswer: 39585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsf when three letters picked without replacement from {p: 10, w: 1, f: 1, s: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) - (-26)\/(-3). Let w = 8 + r. List the prime factors of (-42)\/w*5\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 17. Let z = -62 - w. Let t be (-68)\/z - (-2)\/(-5). Sort t, -2, 2\/13 in ascending order.\nAnswer: -2, 2\/13, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**6\/120 - i**5\/15 - i**4\/6 - 9*i**2. Determine d, given that p(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 3703583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**4\/9 + 5960*s**3\/9 - 5948*s**2\/9 - 11912*s\/9 = 0. Calculate s.\nAnswer: -1, 0, 2, 1489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -626*d - 1066*d + 5195*d in the form u + a*d and give a.\nAnswer: 3503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561744 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**6\/120 + 4*z**5\/3 - 559*z**4\/8 + 507*z**3 - 13*z**2 + 2. Factor i(j).\nAnswer: -(j - 39)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*u + 4 + 2 = 0, -3*g + 2*u = -52. Let p = -22 + g. Let q(a) = 198*a - 1587. Let c be q(8). Which is smaller: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6804 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0, 4, 430 in decreasing order.\nAnswer: 430, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 230 + 155. Let o be (-4)\/(-14) + -8 + (-594)\/x. Solve 4*p + 2*p - 30 = o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-45))\/(81\/(35235\/(-12354))).\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -94*m**3 - 2*m**2 - 4*m - 2. Suppose 2*x = -3*g - 5 + 9, g = x + 3. Calculate the remainder when k(x) is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 9:52 PM?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Product of 97.32 and 0.1.\nAnswer: 9.732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56654245423 - 33851741087. Let c = q + -22802504432.99999849. Let u = -97 - c. Round u to seven dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60766767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/15 (b) -2\/43 (c) -1 (d) -27\/82 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1616118 hours to seconds.\nAnswer: 581.80248","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17754 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3462446 - 32?\nAnswer: -3462511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*z - 4. Let v = z + 25. Calculate the greatest common factor of v and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7288197180 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160 divided by -20.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5 + 72*v**4 - 41*v**3 - 11622*v**2 + 11592*v = 0. Calculate v.\nAnswer: -12, 0, 1, 14, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 3037142960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -8*y - 32. Let n = -6 - y. Let o = 36 - n. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47420406*p**3*w**2 - p**2 - 2*p*w**2 + 9*p*w + p + 2*w**2 - 135795*w wrt p.\nAnswer: 284522436*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 2*z = -587*i + 590*i - 2, -5*z + i = 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -4, -0.3, 0.1, 115, -1\/5, 1\/22?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 425\nAnswer: 4\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2741497636.\nAnswer: 2, 41, 83, 201403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -360 + 318.3. Let q = 669858.29827 - 669816.6. Let f = q + c. Round f to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from zuccczc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8f (base 16) in base 5?\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 - -73. Which is the second smallest value? (a) -2\/7 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 505.985 millilitres?\nAnswer: 0.505985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 4*n = -2*n - 78 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -376, -639, -904, -1171, -1440?\n\"Answer: -r**2 - 260*r - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 = 0, -3*m + 6*g - 2*g = -23. Let q(y) = 102*y**2 - 6*y. Let z be q(-5). Suppose r + r = -h + 507, -m*h + z = r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 8194.\nAnswer: 2\/4097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.19 (b) -1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167239, 168283, 169327, 170371, 171415, 172459?\nAnswer: 173503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-48)*(-10)\/(-25).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 183.5167 meters?\nAnswer: 183516.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3120 and 107\/2808?\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 7:27 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.1179 years to months.\nAnswer: 601.4148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 10:14 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -31460520 (base 7) in base 2?\nAnswer: -1010001011111001011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 10:00 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20\/33 - 3\/11. Let a = -11 + 8. Let c be ((-4)\/9)\/((-2)\/a). What is the nearest to c in -5, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 764752129, 764752130, 764752131, 764752132, 764752133, 764752134?\nAnswer: 764752135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2265)\/(-302))\/((-2)\/4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d - 13. Let t(h) = -7 + 0*h + 1 + 4*h + 0*h. Let p = -9 - -15. What is p*k(y) - 13*t(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 1, -1, -4, -2.\nAnswer: -84, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3128026.439 + -3126679. Let j = -1349 + t. Let o = j + -0.249. What is o rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 7*x + 1. Let o be p(6). Let m be (1 - 12)*(8 + -9). Suppose 3*z + 3*t = -t - 12, t + 3 = 0. Sort m, z, o in increasing order.\nAnswer: o, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 10350002?\nAnswer: 10350005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 1 + 18 + -18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 57146 + -92638?\nAnswer: -35492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h - 22. Let z = 17 + -2. Let b be v(z). Let m(f) = 3*f. Let c(a) be the third derivative of 5*a**4\/24 + 6*a**2. Calculate b*m(p) + 4*c(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:05 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9875 and 738050?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:45 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14220\/(-3950))\/(5\/(100\/(-42)))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let r(d) = -d**2 + 6*d + 2. Let m be r(7). Is z\/m - (-747)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6051033 - 2117679\nAnswer: 3933354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3395 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2985\/4 + -746. Determine r, given that 3\/8*r - m + 0*r**2 - 1\/8*r**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165885?\nAnswer: 3, 5, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8370 - 8373. Which is the fourth biggest value? (a) 1\/5 (b) 4 (c) k (d) -3\/8 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 29 - 51 = 0. Solve -t + 4 = 4*c - c, d = 4*t + 4*c for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 8:58 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 4*x**2 + 51*x**3 - 21 + 4*x**2 in the form w*x**2 + g*x + f + s*x**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*24\/(-18)*(-9)\/105?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) - 12\/(-5). Let r(n) = -3*n**3 + 2*n**2 + 36*n + 63. Let f be r(-2). Find the third derivative of 6*o**6 + 449 + f*o**p - 449 wrt o.\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 41, -271, -2\/5, 2\/3, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3088*f**2 + 2503*f**2 - 1974*f**2 in the form m + b*f**2 + a*f and give b.\nAnswer: 3617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 14292 + 14288 = 2*o, -4 = 2*t - 3*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73094577?\nAnswer: 3, 17, 19, 241, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 14 = 4*n. Let w = -2 + n. Let u = 4 + 2. Which is greater: u or w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 9*a - 6. Let s be o(6). What is the third derivative of -s*i**2 - 13*i**2 + 19*i**2 - 3*i**6 wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 724266.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 + 134 - 2*y + 226 + 33.\nAnswer: -2*y + 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -51 - 2*j**2 + 24 + j + 23 in the form v + q*j**2 + m*j and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.37 - -0.63. Let q = 270.8 + -271. Which is the closest to 2\/3? (a) q (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1709.0241 months?\nAnswer: 0.142418675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 11*c - 8. Let y(j) = j - 11. Let s be y(0). Let g be w(s). Let m = g - -11. Solve 0 = 3*v + m + 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*z + 80, -3 = -3*z + 6. Let x = 8636 - 8618. What is the remainder when k is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -168.07 + 170. Let s = n + 0.07. Let j = -134 - -142. Is j greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -2*(-2)\/4. Let o = 12 - c. Let j(m) = -4*m - 9. Let h be j(-3). Solve 9 = -h*w + 21, 5*d = -4*w + o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 1\/3, 0.1535, 5 in ascending order.\nAnswer: 0.1535, 1\/3, 5\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/121092 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -51*b**2 - 3*b - 152. Let y(k) = 101*k**2 + 7*k + 304. Let o(a) = 7*c(a) + 3*y(a). Differentiate o(g) with respect to g.\nAnswer: -108*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 88*d\/5.\nAnswer: -2*d*(d + 44)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94180, -94190, -94210, -94240, -94280, -94330?\nAnswer: -94390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10942 + -10943. Which is greater: q or 1\/2609?\nAnswer: 1\/2609","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*d**2 + 2*d + 1 - 53*d**2 + d**3 - 2*d**4 + 79*d**2 - 2*d**4 - 2 as b*d**2 + j + c*d**4 + w*d**3 + l*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:57 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 5*k**2 + k**2 + (-5*k + 0*k + 4*k)*(0*k + 4*k - 3*k) - 56*k**2 + 138*k**2 + 103*k**2 + 0*k + 0*k - 2*k**2.\nAnswer: 184*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**4 + 0*p**5 + 0 + 0*p + 80*p**2 + 1\/40*p**6 + 1\/3*p**3. Let o(v) = -v**3 - 1. Determine 11*o(y) + 4*u(y).\nAnswer: y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7*h - 66 = -5*h, 290 = 8*c + 3*h + 2*h for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2 - 308232*a + 7917247152 = 0.\nAnswer: 51372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s - 20. Let b be o(-8). Suppose 0 = -a - c + 3, 4*a = -5*c + b*c. What is the tens digit of 14 - (-1 - 0)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*o**2 + 9*o**2 - 14*o**2 - 3*o in the form p*o + s*o**2 + z and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-1))*c*c\/((c*(c\/(c**0*c*c*c*c))\/c)\/c)*c)**0*(c**(-2\/13)*c*c**5)**(10\/9) assuming c is positive.\nAnswer: c**(760\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**2 - 16*q + 13. Give z(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100010100 (base 2) to base 4.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10185 * -0.4.\nAnswer: -4074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3*l + 3. Let a(v) = 3*v**2 + 6*v + 7. Calculate -2*a(m) + 5*f(m).\nAnswer: -m**2 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/8 - 1322367*t**3\/8 + 19835055*t**2\/8 - 99174525*t\/8 + 82645125\/4 = 0. What is t?\nAnswer: 5, 440774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131170939147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4\/2 + 1288*l**3 - 5149*l**2\/2 + 1287*l = 0.\nAnswer: 0, 1, 2574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-93)\/716565*-67*30\/(-9).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 16 - -8 - (-22)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a - 6*a + 4*a + 7 - 8. Calculate p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 19662952.\nAnswer: 1\/4915738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*s = 72*s - 23*s - 4060 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:14 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -0.7509?\nAnswer: -8.2599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 7*q**2 - q - 5. Let f be a(-7). Is -2 + 2 + f - -159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.45802*0.4\nAnswer: 0.983208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 525 and 1155.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2295, 2289, 2283?\nAnswer: 2277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u + u - 2*u)*(0 + 4 - 1) as f*u + w and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075776793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 + 2*l**2 - 21*l + 20. Suppose x = 2*k - 3*k - 1, 2*k = x - 5. Let t be f(x). Solve 2*j + j + t = -v, -4*j = 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101011 - 1100?\nAnswer: 100011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, k: 2}. What is prob of picking 1 k and 1 f?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5977 + 12876*q - 5977 to the form o + r*q and give r.\nAnswer: 12876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + h - 30*h**4 - 3*h**2 + 28*h**4 + 2*h**2 to y*h**2 + b*h + n*h**4 + q*h**3 + a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*w**2 + 124443*q**2*w - q*w**2 + 56*q - 53*w**2 - 5*w wrt q?\nAnswer: -4*w**2 + 248886*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 13*f - 16*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1155.313139 + -1155.3. What is k rounded to 4 dps?\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -558*r - 17302. Calculate o(-31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169361 by -37.\nAnswer: 169361\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -369 - 0.51.\nAnswer: -369.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(13)*-2 + sqrt(13) + 2*sqrt(637) + -6*(2 + sqrt(1872)).\nAnswer: -47*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 2\/((-44)\/52 + 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 11*g**3 - 8*g - 8. Let c(h) be the second derivative of 2*h - 5\/6*h**3 - 5\/2*h**2 + 0 + 0*h**4 + 7\/20*h**5. Give -8*c(m) + 5*o(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 409*b**4*f**3 - 2807*b**2*m - b*f**2 + 11*f**3*m + f**3 + 3346*f**2*m + 9*f + 2 wrt b.\nAnswer: 4908*b**2*f**3 - 5614*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -39*o - 1. Let i be a(1). Let w be 1\/3*15\/i. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -170*o**3 - 7*o**2 - 62*o + 70. Calculate q(1).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:50 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84470.05 hours in minutes?\nAnswer: 5068203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14208 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 + 477*u**2 + 2*u - 328. Determine t(159).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*w**2 + 1)*(w**2 + 0*w**2 + w**2) + (3 - 2*w + 3 + 11)*(w**3 - 3*w**3 + 0*w**3) to n + f*w**2 + o*w**4 + h*w + c*w**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 3:42 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 400*j**2 + 30*j + 12. Let r(k) = k**2 - 5*k - 2. Let c(w) = -n(w) - 6*r(w). Let d(m) = -2*m. Calculate d(c(h)).\nAnswer: 812*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*1 - (7 - (0 + 4)). Which is the closest to 0.1? (a) w (b) -2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 2*i + i + (-3*i - i + 3*i)*(4 - 3 - 3) + 0*i + 0*i + 2*i + 190 + 17*i - 190.\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -103*r - 96*r - 1 + 295*r - 97*r. Let p be (2\/(-6))\/((-9)\/(-27)). Give b(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:46 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (sqrt(190) - 4*(sqrt(190)*-4 - sqrt(190) - sqrt(190))))\/(sqrt(10) + (2*sqrt(90))\/sqrt(9)).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1067\/4 + -267. Suppose -3*r = r - 12. Let v = 0.1 + -0.1. Put v, k, r in increasing order.\nAnswer: k, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10) - (-59)\/295.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (9 - ((-12 - -15) + -10 - -7))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.4 - -3. Let n be ((3 + 3)*-2)\/(-7). Let y = n - 79\/42. Which is the nearest to -0.1? (a) k (b) -1\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.6, 5\/7, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p**2 - 6502*p + 26001. Determine j(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12820 or -12819?\nAnswer: -12820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-18)\/24)\/(((-54)\/(-264))\/(-3)). Solve 2*q + h = -5*t, -2*q + 0*t - t - 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 4)*(109*o + 20617 - 20617)*(3 - 3 - 4*o).\nAnswer: 3488*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 0 + 5\/3*t**2 + 1\/3*t**5 - 1\/3*t**4 - t**3 - 2\/3*t = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 + 32. Let o = 40 + u. Let g be (8\/o)\/(1\/8). Solve 5*l = -g*n + 13, 3*l - 10 = l - 2*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c + 2*c)*(73*c**2 - 73*c**2 - 156*c**2).\nAnswer: -156*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1947804568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 26 - 6. Which is the second biggest value? (a) 2\/9 (b) -1\/2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1892688 bigger than 1892645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20266797973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 16 + 30. What is the highest common divisor of l and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -190.2 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g - 13 - 9 + 116*g - 12 - 5.\nAnswer: 29*g - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2910870 - 4?\nAnswer: -2910874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9864*s + 1439?\nAnswer: 9864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83419.22mg in kilograms?\nAnswer: 0.08341922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/2 + 188*u**4 + 743*u**3\/2 - 938*u**2 - 1122*u = 0. What is u?\nAnswer: -374, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9820, -19642, -29464, -39286, -49108?\nAnswer: -58930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 + 505*m + 35. Calculate p(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -1.36\nAnswer: -1.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 21377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171006174 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 296\/(-36) - (-2)\/9. Is 2331\/15 + t\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 782.8649 weeks?\nAnswer: 131521.3032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68570*s**3 - 1554*s**2 + 211*s - 1585209?\nAnswer: -411420*s - 3108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*q + 22, 3*q = -l - 3*l + 38. Calculate the lowest common multiple of q and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76 - 76. Suppose -84*b + 79*b + 35 = u. Suppose -b*j + 4*j = -4*k - 7205, 0 = -k - 5. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from lgpgalgg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 382406717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63720 and 11589075.\nAnswer: 92712600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/18 - (-312)\/144. Let q(j) be the third derivative of 0*j - 1\/60*j**6 + 0 + j**2 + 1\/10*j**5 + 0*j**4 + 0*j**a. Factor q(r).\nAnswer: -2*r**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 79053*x + 136129269. Give j(-1722).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*u - 10*x - 110, 104 = 5*u - 2*x. Let o(m) = m**2 - 17*m - 64. Let j be o(u). What is the closest to -3 in -0.1, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 9*z**2 + 13*z - 6. Let c be r(10). Let l be ((-6)\/c)\/(1 + -2). What is the smallest value in l, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -17*p - 5. What is t(5)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/132 + 53\/(-11). Which is the closest to 1? (a) o (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 150 = -4*f. Let a = -197\/4 + f. What is the second smallest value in 0.5, a, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Suppose 4*h + 12*i - 10*i - 22 = 0, 27 = 3*h - 2*i. Let o(m) = 16 + h*m + 19 - 52 + 20. Give 6*f(p) + o(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 - -6.58. Let x = m + -30.58. Let y = x - -26. Round y to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6691094, 0.4, 7, -0.3, 0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 3*w - 5*w to the form q + u*w and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 5\/(-2))*-44. Let d = w - 8. Let a = d + 6. What is the remainder when 39 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 18*q - 64. Let f(w) = -3*w**2 - 54*w - 191. Let y(a) = 7*b(a) - 2*f(a). Let o be y(-10). Calculate the highest common factor of o and 168.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9220\/(-5532)*(-2)\/12*-2*-2.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**3 + 30*j**2 - 34. Let g(u) = u**3 - u**2 + 1. Let a(z) = 5*g(z) - r(z). Differentiate a(o) wrt o.\nAnswer: 6*o**2 - 70*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -77876181, -77876180, -77876179?\n\"Answer: b - 77876182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 6*b)*(-2 + 2 + 3)*(1 + 0 + 0) + b + b - b.\nAnswer: -17*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = -80000. What is i rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**4 - 4*f**4 + 0*f**4)*(f + f - 3*f) + (f**3 - f**3 - 2*f**4)*(84 - 19*f - 84).\nAnswer: 40*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/12 and 1\/681?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from ijiubvru?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 138\/4*60\/9. What is b rounded to the nearest ten?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 22 = -q, -2*q + j = 3*q + 138. Let z be ((-1188)\/q)\/(-9) - -4. Which is smaller: -4 or z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 831832.8ug?\nAnswer: 831832800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3820\/9389 and 11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -21945*f**3 - 54*f**2 + 6*f - 3. Let r(y) = 329176*y**3 + 828*y**2 - 92*y + 46. What is -46*g(o) - 3*r(o)?\nAnswer: 21942*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-686 - -682) + (4 + -2 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3726122 and 1118?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129939.2 centuries to millennia.\nAnswer: 12993.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4039 - 4003. Calculate the highest common divisor of 1476 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = -3*n. Let k(o) = -o**2 + 7*o - 6. Let r be k(4). Solve 2*y - r = 0, 3*y - n*y = 2*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 146\/7, -7, -1, 91?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277595 is divided by 371?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 327780169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 3015*b - 12012.\nAnswer: -3*(b + 4)*(b + 1001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11954*k**3 - 6*k**2 - 9*k + 9. Let g be i(-7). Suppose -22 = 80*j - 91*j. Suppose 0*m = -j*m - g. What is m rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2995, 3228, 3475, 3742, 4035?\nAnswer: 4360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66421601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707647 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000831 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 419933997 and 419933995 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 3 + y)*(6*y - 14*y + 19*y) in the form a + z*y + c*y**2 and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2419*l - 243*l + 41711 = 1586 - 57795 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -303, 1, -1, 2, -3 in descending order.\nAnswer: 2, 1, -1, -3, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -47.130477 to two dps.\nAnswer: -47.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(2\/7))\/z)**(-46)\/(z\/(z*z\/(z*((z*z**(-1\/4)*z*z*z)\/z)\/z*z)))**5)**(31\/3) assuming z is positive.\nAnswer: z**(-63271\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*x - 175*x - 159*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301376298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746*f - 20 + 9*f**2 + 746*f.\nAnswer: 9*f**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2. Let k(d) = 77*d + 35. Let j(x) = -13*x - 6. Let c(h) = 35*j(h) + 6*k(h). What is b(c(q))?\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9620062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 4. Let s be (91\/(-26))\/((140\/16)\/(-5)). Let o(f) = s*f**2 - u*f**2 + 0*f - 11*f + 7 + 3*f**2. Determine o(5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 688*z + 9*z + 6970 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1779 - -8927\/5. Factor 16\/5*h - p*h**2 + 4*h**3 - 4\/5*h**4 + 0.\nAnswer: -4*h*(h - 2)**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*(-3*(sqrt(343)*4 + -4) + 4*-4*3*sqrt(343)))**2.\nAnswer: -1451520*sqrt(7) + 177831936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -a - 0*q + 22, 0 = -4*a - 2*q - 2. Suppose 2*r - r - 7 = -2*p, -2*r = 5*p - 17. Let x = -13 - -18. Put x, p, a in decreasing order.\nAnswer: x, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00043628514 rounded to six dps?\nAnswer: -0.000436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 122208.18 months?\nAnswer: 10.184015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -326.\nAnswer: -326, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 4*i**2 - 2*i - 4. Let m(a) = -a**3 + 5*a**2 + 5*a + 2. Let k be m(6). Let q(z) = 54*z - 58*z - 5 - 14. Let y be q(k). Calculate s(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7452)\/(-126) - 1\/7. Suppose 57*l + 94 = x*l. Calculate the remainder when l is divided by ((-8)\/(-5))\/(1\/10).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170562883 to the nearest integer?\nAnswer: 13060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 109*d**2 - 169*d - 64. Calculate k(-56).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-2) - (-48)\/(-3). Let x be 1*(-9)\/(d\/20). Let j = 12 - -13. What is the greatest common factor of x and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307620.\nAnswer: 2, 3, 5, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/11)*z*z)\/(z\/z**(2\/21)))\/(z\/(z**(-2\/41)*z)*z*z**4*z) assuming z is positive.\nAnswer: z**(-50359\/9471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47538?\nAnswer: 2, 3, 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a - 60. Let o be ((-12)\/15)\/((-8)\/a). Suppose o*s - 5*r - 59 = 38, -s = 4*r - 68. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**3*z**3 - 1692*v**3 - 26*v**2*z**2 - 2*v*z - 30*z**4 - 8*z**3 wrt z.\nAnswer: 42*v**3 - 720*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*v - 2534, 4*v - 12*m + 17*m = 3377. What are the prime factors of v?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23*1\/(-70) - (-111)\/259. What is the second smallest value in j, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/q*q*q**10)**16*((q**(-2\/5)*q)\/q**7)**(2\/115) assuming q is positive.\nAnswer: q**(-18464\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:22 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 2512920.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/3, -0.418699, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 345 * -0.1173.\nAnswer: -40.4685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4163 (base 12) in base 5?\nAnswer: -212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2781869 = 3*h. Suppose 0 = 5*p - h - 2218131. Round p to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-30)*5\/3. Let t = 81.1 - 81. Which is the closest to t? (a) -0.3 (b) p (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31764 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + d + m - 12, 5*m = 5*d. Let a be (15 - 13)*(-2)\/(-4). Suppose 14 = d*t + 2*p, 2*p = -11 + a. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200.931 - -0.069. Let d = a + -117. Let j = d + -83.9999775. What is j rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/273 and 85\/916923.\nAnswer: 11919999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 103726 = -80495 - 71692. List the prime factors of g.\nAnswer: 36559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + g + 4*g. Let k(h) be the first derivative of h**2 - 153. Determine k(n(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - t + (3 + 4 - 3)*(-3 - t + 3))*(0 + 2 - 1) - 4*t + 4*t + 2*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-6)\/(120\/(-28)). Solve 5*n - 15 = -5*j, -5*j + q = -n + 2*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*c + 17*c - 13*c + 12*c to z*c + k and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - sqrt(143)*3*5)\/sqrt(11).\nAnswer: -14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 4.7. Let k = 666 + -666.385. Let a = k + 0.885. What is the third smallest value in -0.1, s, -4, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 6. Let n(c) = -c**2 - 2*c + 3. What is -2*b(f) - 3*n(f)?\nAnswer: f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 8. Let g(d) be the second derivative of d**4\/4 - 17*d**3\/6 - d**2\/2 - 7*d. Let s(p) = 2*p**2 - 9*p - 1. Let t(n) = h*s(n) + 3*g(n). Give t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/49*(-1421)\/(-1624)*-54?\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 12:38 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 - (-4 - -8)) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*u - 31 = 0, -3*w + 2*u - 28 + 75 = 0. Suppose -3*y - w = -34. Which is greater: y or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - t**2 + 17 + 5081*t + 9.\nAnswer: -t**2 + 5081*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*m - 12*m + 5*m**3 + (3 - 3 + 2)*(2*m**3 - m**2 + m**2) + 3*m + 2*m**3 - 3*m)*(2 - 2 - 2).\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -11*f + 13. Let p be i(7). Let m = -47 - p. Let d = -66 + 185. Calculate the highest common divisor of d and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.6 - 297.6. Let m = 414.2 + o. Round m to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -167, -247, -327, -407?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 38*u**2 - 1347. Let b(f) = -22*f**2 + 673. Determine 7*b(s) + 4*n(s).\nAnswer: -2*s**2 - 677","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/24*10 + 1\/4. Let r(i) be the third derivative of 0*i**5 - 2*i**2 + 0*i + 0*i**4 + 0 + 2\/105*i**7 + 0*i**6 - j*i**3. Differentiate r(k) wrt k.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10835*-0.1\nAnswer: -1083.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 - 0) - 22\/11. Suppose 0 = -5*t + 2 + 18. Sort -4, t, m in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 1, -6, 172 in decreasing order.\nAnswer: 172, 72, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -184350*d**2*l*m**3 + 4246*d**2*l*m**2 + 47*d**2*l*m - 2*d*l*m**3 + 2*m**2 wrt m?\nAnswer: -1106100*d**2*l - 12*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(847)*-5 + sqrt(847))**2 + sqrt(847) + (-5 + -5*sqrt(847))**2)*1 + 5.\nAnswer: 561*sqrt(7) + 34753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 228 in -0.4, -5, 5, -1, 0, 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 210.\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.170781 rounded to three dps?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -8. Let f = 8 + -8.2. What is the nearest to f in b, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3083 + 11253 = 43*g. Calculate the highest common divisor of g and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 5, i: 2, x: 6, u: 1, w: 1}. What is prob of sequence iux?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 4*j - 15646 + 1148, 0 = 7*j + 4*d - 25319. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbx when three letters picked without replacement from {e: 1, r: 1, x: 2, k: 3, a: 4, b: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than -16?\nAnswer: -14.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w - 2. Let k be m(2). Let g be (6\/(-50))\/((-9)\/k). Let b = 4 - 3. Is g at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 8*j**2 + 2*j - 16. Let l be g(8). Solve l = -4*z - z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1847\/933 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20112 + -102?\nAnswer: 20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68*q**3 - 549*q**2 + 499*q + 12?\nAnswer: -408*q - 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1504 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3. Let t(d) = 33*d**3 + 3*d**2 - 36*d + 12. Let s be (-42)\/(-9)*(-54)\/21. Let f(m) = -m**3 + m**2 - m. Let q(c) = l*t(c) + s*f(c). Factor q(r).\nAnswer: -3*(r - 1)*(r + 2)*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614080.8 minutes in days?\nAnswer: 426.445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 2, -2, -5, -1\/4, -2.36, 5\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*s + 58*s + 4*t - 34, 5*s = t - 40. Let b(l) = -l**3 - 6*l**2 - l + 1. What is b(s)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52598 and 182.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 114*r + 572. What is n(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.21, -2, -3, 2\/2843, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 949*a**2 - 1775*a**2 + 1041*a**2 as s*a + d + r*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 - -502?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/q**(-3\/28)))\/q)*q*q*q**15)\/((q**(2\/5)*q)\/((q*q\/(q**8*q))\/q)) assuming q is positive.\nAnswer: q**(1359\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 + 10. Let o(u) = 32*u - 3. Calculate l(o(a)).\nAnswer: 3072*a**2 - 576*a + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -2, 61, 172, 337, 562, 853, 1216?\nAnswer: 1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/10*(-2 + (5 - 7 - -14)). What is the highest common factor of v and 5286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169 divided by 20.\nAnswer: -169\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 7893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-132)\/(-48)*(-2)\/22. Which is the nearest to 2? (a) 4 (b) -1 (c) k (d) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -1\/15*f**5 - 7\/12*f**4 + f**2 + 2*f**3 + 0 + 0*f + 1\/120*f**6. Let s be g(6). Which is smaller: s or -5\/48?\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.222764 millilitres to litres.\nAnswer: 0.007222764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 5*z - 1460, 4*s - 2*s = -z - 589. Let q be (-3)\/(s\/(-6))*(16 + -13). Which is the nearest to -2? (a) 4 (b) 0.2 (c) q (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-4 - (-1)\/(-2)*-1). Let r = 66 + -45. What is the greatest common factor of o and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 1, g: 1, f: 2, m: 2}. Give prob of sequence tmgm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 + -2.8. Let u = n + -1.7. Let j = 3.06 + -3. What is the third biggest value in u, j, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -79*c + 242. Let a = 65 - 43. Calculate the remainder when a is divided by m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b7 (base 12) in base 7?\nAnswer: -553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 21*r = 5*p - 40, -2*p + 12 = 0. What is k in -19*k**3 - 5*k**4 - 8\/5 - 114\/5*k**r - 52\/5*k = 0?\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 204 - 3*k + k - 206. Calculate n(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 + 3846132*k - 3846128 = 0. What is k?\nAnswer: 1, 961532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*g + 11*g. What is the common denominator of -17*(0 - (-1)\/18) and (22\/g + -2)*18\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 3*u + 10. What is the remainder when x(-7) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from coqckqqocqoqcmkcq. What is prob of picking 2 o, 1 c, and 1 q?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-4)*d)**(-4\/13)*d\/(d*d**(-3)*d)*d\/((d\/(d\/d**(-2\/9)))\/d) assuming d is positive.\nAnswer: d**(530\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**4*q**(1\/21)*q)**(7\/8) assuming q is positive.\nAnswer: q**(127\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 1465, 4861, 11489, 22429?\nAnswer: 38761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 - 9*l - 9. Let y(i) = -4*i**2 - 8*i - 8. Let w(k) = 5*m(k) - 6*y(k). Let g = 1 + 2. Let t be w(g). Solve b = t*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1243122835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000217808 to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*g + 2276 - 2276 + 238*g - 47*g - 56*g.\nAnswer: 86*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111643714?\nAnswer: 2, 7, 13, 613427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-12)\/20*(-90)\/(-54)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**5 + 314*q**4 - 22*q**3 + 118*q**2 + 38*q.\nAnswer: -60*q**2 + 7536*q - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*m + 6*b - 42, 5*b - 30 = -5*m. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/31 + 4\/155. What is the third biggest value in -1\/3, 2\/67, c, -3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*k + j, -5*k - 2*j - j + 19 = 0. Solve -k*c - 5*n = 3*c, 5*c = -n + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) -4 (c) 0.3 (d) -6.16669 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -22974645 to the nearest 10000.\nAnswer: -22970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 0 + sqrt(500))*-6)**2 + 2.\nAnswer: 72002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -288\/5 + 292\/5. Sort 0.08, j, 2\/15, -1\/2, 8.\nAnswer: -1\/2, 0.08, 2\/15, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*l**2 - 154*l**2 + 65*l**2 + 66*l**2 - 17*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13 - 1 = 0. Suppose -k*v = -81 - 23. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 702972 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p + 7 = -3*s, 4*p + s + 17 = 0. Let l be 8\/(-3) - p\/(-3). Let i be 1\/(l*4\/(-128)). Solve 4*n + i = -5*h + 3*h, -2*h + 4 = -2*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 66*m - 68*m + 2*u, -12 = 2*m + u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-29 - 1315*11\/(-1210))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 47 = 26*k + 5*z, -2*z = k - 16 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*a - 43*a + 85*a + 40 + (-2*a + 5 - 5)*(-2 - 1 + 4) - a - a + 0*a as i + r*a and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 52 = 40. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Suppose -5*x + 4 = 2*o - 3, o = x - 7. Let w(j) be the third derivative of 0 + 0*j**x + 5\/24*j**4 + 0*j - j**2. Give z(w(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 2) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 11 = 44. Suppose -4*j - p = -u - 3, -4*j = 3*u - 40. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f*(f*f**(-3))\/f)\/((f\/(f**(1\/2)\/f))\/f)**(-4\/5))**28 assuming f is positive.\nAnswer: f**(-294\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, -5.49?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6969 = -17*z - 2243. List the prime factors of z.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 8. Let u(b) = -18*b**2 - 22*b - 16. Let z be u(-5). Let h = 358 + z. Solve 4 = h*r - w*f, f - 8 = 2*r + 3*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4720677 is divided by 818?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*x - 48*x = -54576. Suppose -93 - x = -15*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011572 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m + 5. Let p be (-10)\/(-15)*30\/m. Suppose 43 = 2*v - 17. Calculate the greatest common divisor of p and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8936 - 207*q + 9046*q + 886 - 463*q wrt q?\nAnswer: 8376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -67. Suppose 0 = q - v*o + 15399, -2*o - 3 - 5 = 0. Let j = -1063307\/69 - q. What is the common denominator of 68\/3 and j?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ps when two letters picked without replacement from {s: 2, p: 10, d: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -97 + 102. Suppose -5*x = 4*f - 899, -15*f + 19*f = p*x + 909. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 465 divided by -1\nAnswer: -465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5dbb + -16?\nAnswer: 5da5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11.38782+-352181\nAnswer: -352169.61218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 762 - 721. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.08, 0.2, -0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1740, -3320, -4716, -5916, -6908, -7680?\n\"Answer: 2*f**3 + 80*f**2 - 1834*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18263007 and 33.\nAnswer: 200893077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 3*g**5\/20 - 249*g**4\/4 + 124*g**3 + 20*g + 38. Factor h(w).\nAnswer: 3*w*(w - 248)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 11*w = -15*w - 1, 5*r + 18 = -3*w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/450 and -41\/44269050?\nAnswer: 132807150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -22*g - 80. Let l = 22 - g. Suppose -l*v - 8 = -34. What is the remainder when v is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w**2 - 331*w + 23. Let d be u(23). What is the greatest common factor of 2967 and d?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 6*y**2 - y - 3. Let k(z) = -1123*z**2 + 13 + 1122*z**2 + z + 3*z. Let a be k(-7). Let t = 70 + a. Calculate h(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*z**3 + 39*z**3 + 55*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7319164 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59739?\nAnswer: 3, 19913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 103202421?\nAnswer: 103202412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 0 + 248*c**2 + 4\/3*c**3 - 23\/18*c**4 + 0*c - 4\/45*c**5. Factor r(p).\nAnswer: -4*(p + 6)*(4*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/((-29)\/((-47850)\/20)). Solve -6 = 32*v - n*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*c - 6*c + 12, -3*m + 8 = 2*c. Suppose -4*i + 8 = m*t - 5*i, -t - i + 7 = 0. Solve 11 = y - 5*k, -y + 4*y + t = -3*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 602364*m**2 - 22685779008*m - 612076988592.\nAnswer: -4*(m + 27)*(m + 75282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -45. Solve 0 = v - 4*v - 5*o + 29, -l = -5*v - o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**6\/6 + b**5 - 17*b**4\/4 - 17*b**3\/3 + 16*b**2 + 28*b - 593. Find x, given that k(x) = 0.\nAnswer: -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162 - -105?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o**2 - 10*o. Let h(w) = -w**2 - 3*w. Let y(q) = -10*h(q) + 3*p(q). Let c(u) = 16*u + 39*u - 8*u + 0*u**2 + u**2. What is c(y(f))?\nAnswer: 4*f**4 - 94*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.819 less than -0.1?\nAnswer: -0.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -1\/3*k**3 - 9\/2*k**2 + 0 + 6*k. Let s be 2 + 9\/(-3) + -5. Calculate y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1763, -3506, -5245, -6980, -8711?\nAnswer: -10438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -54*j**2 - j. Let v(z) = 98*z**2 - 8*z + 930. Let w(u) = 8*o(u) - v(u). Differentiate w(c) wrt c.\nAnswer: -1060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 - 372 + 372 + 25*y to w + s*y + g*y**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + f + 1)*(-2*f**2 + 4*f**2 + 0*f**2) + 162*f**3 + 167*f**3 - 324*f**3 in the form t*f + s*f**2 + o*f**3 + b and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6, -5*s + 5*v + 36 = -14. Let f(p) = -p**2 + 28*p - 115. Let g be f(23). Solve 0 = 4*l - g*l - s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415028 is divided by 385.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -9*n - 34. Let p = 44 + n. Calculate the remainder when 46 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let h be p(-6). Calculate the remainder when 2 - (5 - 0 - 10) is divided by 2\/(-4)*54\/h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -26*r + 535. Let g(s) = 5*s - 107. Calculate -2*c(p) - 11*g(p).\nAnswer: -3*p + 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 183384 + -15?\nAnswer: 18336a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-14) + (148\/28 - -4). Suppose 20*i - r*i = 99. Let h be 715\/20 + (-2)\/(-8). What is the highest common divisor of i and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/198 and -47\/1362.\nAnswer: 44946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyt when three letters picked without replacement from {t: 5, y: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 - 269?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4\/3 - 134*d**3\/3 + 652*d**2 - 9664*d\/3 + 12544\/3 = 0. What is d?\nAnswer: 2, 8, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-12))\/((-192)\/(-512)). Let k = -2 - 0. Let s be (-1)\/k*(-8)\/(-28). What is the second biggest value in s, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40008\/10002)\/((-8)\/102)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724750087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -41324?\nAnswer: -41320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -2 + 4 + sqrt(17) + 4)**2.\nAnswer: 120*sqrt(17) + 1736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y + 287 - 247 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m + 3. Let i be q(0). Suppose t - 2 = i. Let f be (0 + t)*36\/45. Solve h - 4*d = -12, -3*h + f*d - 14 = -2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65135388917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16145 - 16149.5908. What is y rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1.8.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1102, 7366, 23196, 53002, 101194?\nAnswer: 172182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 31 = -11. Suppose -3*t = -2*s + 220, -8*t = -s - p*t + 100. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 17 = -41 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1245257996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 7*p + 36. Let f be u(9). Calculate the remainder when 31 is divided by 108\/f + 24\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 10386?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o - 1. Let n(q) be the first derivative of -q**2\/2 + 5*q - 12. Let x be n(7). Determine d(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 149969440 and 45?\nAnswer: 1349724960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h - 2. Let j = 11 - 11. Let t be k(j). Let f be 1*(t - 1)\/(-1). Which is the third smallest value? (a) -3 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 8*f**2 - f + 11. Let w be h(8). Suppose -6 = 2*a, 3*b - 36 = -0*b - w*a. Solve -5*k + 10 = -b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 23*u**3 + 102*u**2 - 14*u + 162. Let m(b) = -6*b**3 - 26*b**2 + 4*b - 41. Let l(w) = 19*m(w) + 5*p(w). Calculate l(-16).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 3. Let d be u(-2). Let q = d - -15. What is the lowest common multiple of 6 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3236301 divided by 67\nAnswer: 48303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2 + 5*t + 2*t**2 + 3*t**2 - 6*t**2. Suppose 5*l - 5 = 15. Calculate i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6))\/((-2)\/6). Let q(i) = i - 2. Let x be q(7). Let o be b*(2\/x + 0). What is the smallest value in 1, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + i - 3 = 0, -i = -82 + 81. Which is the nearest to -1? (a) -0.2 (b) s (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50.6 - -50.1. Let m be 4\/(-6) - 24\/(-9). Which is the third smallest value? (a) m (b) 0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 6:27 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53296419.\nAnswer: 3, 11, 1615043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/3)\/(2\/(-51)). Suppose -d + k = d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/(16\/12)*(-31)\/(-124)*80?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -0*b + b. Suppose b = -2*k - 3. Put -2, k, 1 in decreasing order.\nAnswer: 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 82 - 38 = 0. Let k(w) = -8*w + 5. Let t be k(-7). Let s = t - 6. Calculate the highest common factor of s and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -50. Let o be (-5 - -1)\/((-50)\/l). Let s be ((-1)\/2)\/(27\/(-6)). Sort o, s, 0.2 in ascending order.\nAnswer: s, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.204, 1\/3, -12, 1\/2?\nAnswer: 0.204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 715959.2 micrometers in nanometers?\nAnswer: 715959200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 6. Let i = q - 13. Let g = -6 - -6. What is the second biggest value in i, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 75, 122?\n\"Answer: 47*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 25*m - 11 = 5*o - 11*m, -2*o = 5*m + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378248?\nAnswer: 2, 13, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65459 + 0?\nAnswer: 65459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y - 25. Let i = 93 + -142. Let m = i + 44. Let r be z(m). Which is the nearest to 1? (a) -0.4 (b) 2\/23 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259075165.\nAnswer: 5, 19, 2727107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiiz when four letters picked without replacement from {x: 7, z: 3, i: 9}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -40, -59?\n\"Answer: -19*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 + 1)\/(-3). Let t(h) be the first derivative of f*h**2 + 1 + 0*h**4 + 0*h**3 + 2*h + 2\/5*h**5. Differentiate t(m) wrt m.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1.6 (c) 1\/6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1734 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -632 divided by 1?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 210264679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -606, -2\/3 in descending order.\nAnswer: 0.2, -2\/3, -606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 218, 244, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -768*s - 60230. What is j(-79)?\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -357*2367917\nAnswer: -845346369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(-10\/7)))**(4\/23) assuming z is positive.\nAnswer: z**(-40\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -17. Let c(k) = 36*k - 6 - 14*k - j*k - 15*k. Give c(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 6*g + 6. Let k be p(0). Suppose 8*j - 10*j = k, 3*c - 5*j - 3318 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 619 = 504. Suppose n - 20 = -3*n. What is the highest common factor of y and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and -0.353?\nAnswer: 2.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 2:53 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.00855 + 58?\nAnswer: 147.00855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 2*x = 18. Let m(p) = 8*p**2 - 3*p + 2. Determine m(x).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(204) + (sqrt(204) - -2*sqrt(204)*-1))\/(sqrt(84)\/(sqrt(7)*1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73302355 + 73302355 - 7*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1250 from 0.8676.\nAnswer: 1250.8676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -124. Calculate the remainder when m is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -13. Suppose -2*u + 28 = -5*t, 5*u + m*t + 88 = 9*u. Let i be u\/(1 - (1 - 1)). Calculate the highest common divisor of 36 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from bbbd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 70285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/sqrt(8)*3*-1 - (sqrt(272) + sqrt(272) + -1 + sqrt(136)\/(sqrt(8) - (sqrt(8) - sqrt(72))))**2)*-6.\nAnswer: -82*sqrt(17) + 21268\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.113 - -2.887. Sort l, 4\/5, -2\/11, 2 in descending order.\nAnswer: l, 2, 4\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j - 26. Let c be f(-13). Solve c = 4*l - 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 368 = 8*h - 5*h, 4*h = -16. Suppose 2*v + 4*p - 182 = 0, 5*v - 2*v - 328 = 5*p. Let l = v + s. Calculate the remainder when 35 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 5*g**3\/3 - 1032. Let i(o) = 12*o. Let z(r) = -2*r. Let p(t) = 6*i(t) + 39*z(t). Give p(s(w)).\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 18 = 2*n, -2*n = -3*n - 4*s + 18. Suppose -4*v + 48 = -0*v. What is the smallest common multiple of n and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22908 and 2490?\nAnswer: 114540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:07 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710 - 583 + 71*d**3 + 1293.\nAnswer: 71*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2)*g**(-7))\/(g**(-1))**(1\/8))**(2\/5) assuming g is positive.\nAnswer: g**(-59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*f - 112*f = 575. Calculate the highest common factor of 1825 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -134 - 3 - (354\/(-7257) + (5 - (-3270)\/(-205))).\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2. Let d(w) = -w**2 + w + 1. Suppose 0 = -3*h - 9 + 6. Let z(k) = -k + 4*k**2 - 1 + 2*k - 2*k. Let a(n) = h*d(n) - z(n). Give s(a(i)).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -74.868 + 75. Let l = n - 0.13200103. What is l rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16268313, 32536625, 48804937?\nAnswer: 65073249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*b + 514, -a + 38 - 342 = 3*b. Let s be 1526\/(-8) + (4 - b\/(-24)). Is s > -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 + 7*b**4 - 125*b**3 - 407*b**2 - 416*b - 140.\nAnswer: (b - 10)*(b + 1)**3*(b + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 48, 50, 52, 54?\n\"Answer: 2*u + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h**2 + 92*h**2 - 33*h**3.\nAnswer: -33*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/2 (b) 8 (c) 12 (d) 4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2720 or 2722?\nAnswer: 2720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncacactjftcajaf. What is prob of sequence tt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(6 + 2)*32. Solve -5*z = h + j + 5, -3*z = -3*h + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-28)*2\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 9021?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*b - b. Suppose -4*p - b = 4. Is (-4)\/(1\/2*p) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3636 is divided by 620?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + 64. Suppose 4*d - 15 = x. Let q = -7 + d. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 82210*g**2 + 328600*g - 2630080.\nAnswer: 5*(g - 4)*(g + 8)*(g + 16438)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -1*4 + 30 + -33. Suppose -3*m + 0*t + 211 = -2*t, m - 73 = -2*t. Let b = m + -75. Is b at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:27 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -380 divided by 730?\nAnswer: -38\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000023859818 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 5*u**2 - 4*u + 2. Let g(w) = -6*w**2 + 3 + w**3 - 3*w - 5*w + 3*w. What is -4*g(d) + 5*j(d)?\nAnswer: d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22820897, 45641791, 68462685, 91283579, 114104473?\nAnswer: 136925367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o - 7*u + 2*u, 3*o = 5*u - 18. Let p(b) = -18*b + 4. Let i be p(o). What is the greatest common factor of i and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4\/5))**(-1\/65) assuming a is positive.\nAnswer: a**(-9\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 + 32. What is the closest to -0.1 in -0.1, p, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001105381 rounded to 6 decimal places?\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 328, 49, -228, -503, -776, -1047?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (484 - 12*f**4 - 484)*(4 - 2 + 0)*(0 - 6 + 1)*(-2 + 13 + 8) to the form x*f**3 + w*f**2 + i + m*f**4 + l*f and give m.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, m: 4, r: 1, q: 6}. Give prob of picking 1 q and 1 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = 0, -j - 4*m + 17 = m. What are the prime factors of (1 + j - -12)*22\/3?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(-317 - 44 + 68)*(-3 + b + 2 + 0*b).\nAnswer: -586*b**2 + 586*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*x - 16. Let l be (4\/5)\/(x\/(-40)). Let s(q) = -q**3 - 3 - 2*q**2 - q**3 + 1. Determine s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3386*v**2 + 3341.\nAnswer: 6772*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303565277 divided by -3247?\nAnswer: -93491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 297*x - 32. Calculate the least common multiple of u(1) and 1.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1032 and 6151408?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1642359 and 4379624?\nAnswer: 13138872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**7\/84 + 79*q**6\/20 - 13683*q**5\/40 - 42481*q**4\/24 - 3580*q**3 - 3600*q**2 - 829*q. Solve j(d) = 0 for d.\nAnswer: -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10242*v**2*z**3 + 333*v**2*z - 70*v*z**2 - 3*v*z - 5347*z**3 + 2*z**2 + 353*z wrt z?\nAnswer: -61452*v**2 - 32082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(143) - (sqrt(143) + 1*sqrt(143) + sqrt(143) - sqrt(143)))\/sqrt(11) - sqrt(13) - sqrt(13)) + -2*(sqrt(13) - (sqrt(13) + 1)))**2.\nAnswer: -12*sqrt(13) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34329 (base 12) to base 13.\nAnswer: -25899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 361*i**3\/2 + 1159*i**2\/2 + 116*i + 6 = 0. What is i?\nAnswer: -3, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -30\/11, 0.005, 3 in ascending order.\nAnswer: -30\/11, 0.005, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(2\/(-36)*3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2722\/3885?\nAnswer: 2722\/3885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4, -0.8, -10, -8, -4\/9 in descending order.\nAnswer: 4, -3\/7, -4\/9, -0.8, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 5.5. Let f = -1.47 - 0.53. Which is the closest to -1\/3? (a) 4 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 2*v**2 - 5*v - 4. Let w(r) = -2*r**3 + r**2 + 4*r + 3. Suppose 0 = -y + 2 - 6. Let l = -8 - y. Give l*w(h) - 3*f(h).\nAnswer: -h**3 + 2*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by -3*42\/((-25)\/10 + -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 6457817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 - -23.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 316*p**2 + 11786*p - 39896. Determine d(-350).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 43 - 5. Solve -3*w + 8*w + 4*g = f, -4*w = 2*g - 14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 3*o**2 - o**2 + (10*o - 2919 + 2919)*(-3 + 0*o + 5 + 2*o) - 5 + 3 + 3 + o**2.\nAnswer: 19*o**2 + 20*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 2*j**2 + (-12 - 20 + 6)*(-4*j**2 + 4*j**2 + j**2) - 1 - 2*j**2 + 1 + (2*j - j + 0*j)*(44 - 44 - 6*j).\nAnswer: -32*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/91 - (2484\/1743)\/(-4). Which is bigger: -0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886*m - 2219*m + 255*m.\nAnswer: -2850*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(-22))\/(2\/136). Let q = t - -56. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqe when three letters picked without replacement from {e: 1, q: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j**2*s**2 + 68*j**2*z + j**2 + 378*j*s**2 + 4*s*z + 335*z wrt s.\nAnswer: -8*j**2*s + 756*j*s + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 9*x**2 + x + 6. Let q be p(-9). Let l be 2\/3 + (-118)\/q. Suppose 3*h = -h + l. Solve -h = -k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/32 + 1034\/352. Let q(p) = -4*p**2 + a*p**2 + 99*p + 101*p - 200*p. Let h(z) = -4*z + 8. Give h(q(t)).\nAnswer: 4*t**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 413006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**7\/21 + 2*w**6\/45 + w**5\/30 + 10*w - 1. Let p(g) be the first derivative of u(g). Let p(k) = 0. Calculate k.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**7\/210 - u**6\/180 + u**3\/2 - 4*u**2. Let w(c) be the first derivative of f(c). What is the third derivative of w(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 3290 = 8*q, -2*r = -3*q - 1285. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0276638158 + 2\nAnswer: 1.9723361842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42580094*h**4*v - h**2*v - 24821336*h*v wrt h?\nAnswer: 1021922256*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/96 and 29\/25278.\nAnswer: 404448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 6 + 3. Suppose 3 = -y*c + 153. What is the remainder when c is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/20 - s**4\/12 - s**2 + s. Let n be (3\/9*0)\/(-2). Determine h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/104 - ((-133)\/(-266))\/((-28)\/19).\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r - r**3 - 9 - 7*r + 5*r**2 + 7*r. Let f be y(6). Suppose 5*h + 5*s - 1 = -6, f*h + 3 = -4*s. What is the closest to h in 1, 3\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12180 and 2590?\nAnswer: 450660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2. Let s(z) = -z - 1. Give -s(v) + u(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/2 (b) -3\/2 (c) -111 (d) -0.03 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + s - 2. Let n(f) = 8*f**2 + 12*f + 55 - 42*f + f**2 + 56*f**2. Let o(x) = n(x) + 30*t(x). Factor o(d).\nAnswer: 5*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 82096*p - 116574*p - 2 - 1.\nAnswer: -34478*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.27 - 0.27. What is the second biggest value in 8, j, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Suppose -4*x + 4*i + 155 = -29, -t = -i. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-154)\/(-21)*(-9)\/(-6). Suppose 552 = f*o - 5*o. Suppose 0 = 4*q + 4*n - n - 68, 0 = 5*q + 2*n - o. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 + 0*m + m.\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1708770 and 1260.\nAnswer: 10252620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-200)\/350 + 374\/(-7). Is -54 != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1117504.4 + 1117345.40099. Let y = -0.021 - -159.021. Let d = y + i. What is d rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 8 - (-6)\/3. Which is greater: q or -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*a**3*w - 7407*a**3 - 38*a**2*w + 62135*a*w wrt a?\nAnswer: -402*w - 44442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(2268) + sqrt(2268) + sqrt(2268)*-1))\/(sqrt(48)\/(sqrt(12) - -4*(sqrt(192) + sqrt(12)))).\nAnswer: -756*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:48 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213803145?\nAnswer: 3, 5, 527909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -1628?\nAnswer: 1\/814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 25*j**2 + 891*j - 1193. Determine t(-37).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p + 431 - 431.\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-5)\/((-10)\/4)))\/((-24)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 7 = -4*c, -5*j - 5*c = -1 - 9. What are the prime factors of (0 - j)\/((-1)\/(-21))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2251 - 33?\nAnswer: -2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**3\/3 + 10*y**2 + 89*y + 13. Let i(t) be the second derivative of 2*t**2 - 2*t. Calculate -4*a(u) + 20*i(u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 787181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - k = 83, -4*d + 0*d + 2*k = -322. Calculate the remainder when d is divided by 0 - (-5 + 1) - -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6121 + -33.6461. Let a = 33 + t. What is a rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -18.2187 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 4*p**2 - 4*p - 2. Let c(q) = -q + 12. Let h be c(7). Let j be o(h). Suppose y = 2*y - j. Solve 6*s = 4*w + 4*s + 20, 0 = 4*w + y*s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**3 + 670*j**2 + 3325*j = 0.\nAnswer: -665, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(525) - (-3*sqrt(525) - sqrt(525)) - sqrt(525)) + sqrt(525) - (1*sqrt(210) + sqrt(210))\/sqrt(10))\/((-1*-3*sqrt(144))\/sqrt(3)).\nAnswer: 23*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*m - f, 2*m - 9*f - 54 = 2*f. Solve 10 = -m*c - 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5439*n = 5434*n - 3*m - 30, -n + 97 = -3*m - 17*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*g - 5 = 0, -d + g = 2*d - 1. Suppose c + d*c - 9 = -4*x, -x + 3*c + 12 = 0. Suppose -x*p - 12 = -4*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1*1 + sqrt(91) + sqrt(91) + 3*(sqrt(91) + -1*sqrt(91)))\/(sqrt(252)*2 - sqrt(672)\/sqrt(6)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -26, -72, -156, -290?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = -6*n. Let j be n\/2 + 25\/(-10). Let r be (j\/(-4))\/(3\/12). Is r less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 11*u + 6. Let d be w(-7). Calculate the remainder when 1\/(-6)*-1687 + 20\/d is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 17*v + 3766 - 122*v**2 - 3767 + 7*v + 119*v**2. Give l(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*x - 26832, 3*x = -5*r + x + 44751. Let v = -5 + 8. Suppose -v*b - 4551 = r. Round b to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3, -14, -57, -138, -269, -462, -729?\n\"Answer: -2*c**3 - c**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o - 6. Let m(l) be the second derivative of l**3\/6 - 5*l**2\/2 + 6*l. Give -5*a(v) + 6*m(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 13*v**5\/20 + 3*v**2. Let i(f) = -34*f**2 - 4. Let z(r) = -421*r**2 - 50. Let q(n) = -25*i(n) + 2*z(n). What is x(q(h))?\nAnswer: 2496*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -11*n + 0*n**2 + 0 - 7\/6*n**3. Let j(b) = 4*b + 1. Let s(w) = w + 1. Let c(a) = j(a) - s(a). Give t(c(k)).\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -423, -0.23, 3, -0.1, -98, 1 in decreasing order.\nAnswer: 3, 1, -0.1, -0.23, -98, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/3)\/((520\/(-90))\/26)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2531*k**2 + 15*k - 6*k**3 - 9*k + 2529*k**2 + 2*k**4.\nAnswer: 2*k*(k - 3)*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (3 + 4)) + (-10)\/(-4). What is the nearest to -0.2 in -0.4, z, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 197*v - 20404. Determine i(75).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4\/7, -5, -2\/2175, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -128. Let j = 412\/5 - u. Suppose 3*c + 12 = -3*w, -2*w - 3*c = -4*c + 23. What is the third biggest value in w, -4, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (2 - -51) + (-4 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2 + 4*v - 2. What is k(2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-6) - -1 - (-8 - 1032\/(-144)). Let h(i) be the second derivative of -2*i - b*i**3 + 17\/2*i**2 + 9. What is the derivative of h(z) wrt z?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 307\/426998 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**3 + 2*i**2 - 3*i + 1. Let p be a(4). Let l = 304 + p. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14511 is divided by 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:49 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - -2?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202211330 - 10?\nAnswer: -202211340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 453*h**3*z**2 - 13*h + z**2 wrt h.\nAnswer: 2718*h*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g - 4. Let d(z) = -z**2 + z. Let q(j) = 2*j**2 + 4*j + 5. Let y(o) = 3*d(o) + q(o). Suppose 3 = 4*l - 13. Let c(w) = l*y(w) + 6*u(w). Factor c(k).\nAnswer: -4*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -96402, -193728, -291054, -388380, -485706?\n\"Answer: -97326*p + 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11\/9, 2\/3, 0, 0.1, -5.\nAnswer: -5, -3, 0, 0.1, 2\/3, 11\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*k = -12, -x - 6 = 2*k - 20. Let b(r) = 9*r**2 - 2*r + 38. Is 50 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 1866 = 65*n. What is the highest common factor of n and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -665 = -5*l + 810. Suppose -8*z + l = 103. Calculate the least common multiple of z and 20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*l + 7 + 7*l**2 - 57*l + 135*l.\nAnswer: 7*l**2 + 174*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493 = 34*q + 26*q - 3167. Calculate the remainder when 2682 is divided by q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -82, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 11 + 4 - 4 + 34*s**2 - 16*s - 2 + 35*s**2. Is y(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27 + 138*v**2 + 27 + 0*v**2 - 2*v**2 + 3*v**2 + (-3*v + v + v)*(2*v + 9*v - 3*v).\nAnswer: 131*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-354)\/531)\/(((-2)\/(-9))\/1). Let m be (6 - (-6)\/(-3)) + -1. Sort 6, c, -5, m in ascending order.\nAnswer: -5, c, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i. Let r(j) = 16*j - 8. Determine -r(z) - y(z).\nAnswer: -15*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1384 - 1385. What is the nearest to 4 in 0.5, l, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(7\/6)*(-286)\/(-429)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 10\/6)*9. Suppose 4*t = u*t + 6. Let p be t*(-2 - 9\/(-2)). Calculate the highest common divisor of 60 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v**2 - 3*v**3 + 5*v + 4*v**3 + 2 - 5 + 0*v**3. List the prime factors of y(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 9) in base 14?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -301 or -2405\/8?\nAnswer: -301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -797 divided by -1?\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79563 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/1)\/((-9)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 10*d - 8. Suppose d*z + 3*z - 65 = 0. Suppose -3*p - 4*h = -7*p + 300, p - 4*h = 66. What is the greatest common factor of z and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2047 = 8*t - 2433. Is 35 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/91 and -38\/39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rooo when four letters picked without replacement from {r: 10, o: 9}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnbtn. Give prob of sequence tnnt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + a + 3 = 0, -4*a = -4*p + 9 + 3. Let y = -4 + p. Suppose 38*j + 130*j - 1148 = -210*j + 91*j. Sort -1, 1, y, j.\nAnswer: y, -1, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let h = -0.7 - 5.3. Let m = -6.1 - h. What is the nearest to m in 2\/11, 2, a?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0 (b) -0.06 (c) 0.02 (d) -9 (e) 2 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4180.3 + -4179. Which is the closest to 0? (a) -5 (b) -4.2 (c) 0.5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 278*y**2 - 1 - 4 - 6*y.\nAnswer: -278*y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-6*(-29)\/1392)\/((-10)\/16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tttttttttbtttbttttt.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*x = -64*x - 5*g - 15, 0 = -4*x - 3*g - 9. Let z = 40 + -207\/5. What is the closest to x in -1\/3, -2\/9, z?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2563549 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68, 106, 140, 164, 172, 158, 116?\n\"Answer: -f**3 + 4*f**2 + 33*f + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/5 + -112 + 111\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 514500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19d486d65 + -5?\nAnswer: 19d486d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2084 + -1738. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (4 + -2)) + 0 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107564 is divided by 303?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10514566.800784478276 - 7.800784078276. Let p = f - 10514557. Let j = p - 2. What is j rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3610 + 20121 = 1362*w - 6643 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -20894026601\/13171 - -1586366. Let u = b + -40355899\/39513. Let l = u + 1012. What is the common denominator of l and 19\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40613 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.095? (a) 3 (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 20*k**2 - 39*k + 18. Let l(q) = -7*q**2 + 13*q - 6. Let i(b) = 6*a(b) + 17*l(b). Let v be i(14). Do 20 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b = 2. Solve -b*s = 2*s - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1977*g**2 + 20*g + 1. Let d(o) = -1974*o**2 - 16*o - 1. Give -4*c(f) - 5*d(f).\nAnswer: 1962*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*s, 5*s = -5*l + s + 26. Suppose -2*v - l*v = -20. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.968 - -4. Let o = r + -0.095. What is o rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-28))\/(15\/(-175)*5)*16\/6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 v when four letters picked without replacement from {f: 2, v: 9}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.9 + -6.6. Put -1, -2\/3, c, -2 in ascending order.\nAnswer: -2, -1, -2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + 171. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -253 not equal to -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g**3 - 6*g - 1. Let m(d) be the first derivative of -7\/4*d**4 + 7 - 2*d - 13\/2*d**2 + 0*d**3. Calculate 4*m(k) - 9*t(k).\nAnswer: -k**3 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 182639 - 6?\nAnswer: 182633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.015 + -0.515. Sort -2\/25, y, 0.4 in decreasing order.\nAnswer: 0.4, -2\/25, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101974 - -390445. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2 - 5 + 1 + 2 + (-3 - 1 + 3)*(1 + 1 - 3) + 2 - 7 + 3 - 2 + 5 + 8 + (-4 + 2 + 0)*(-3 - 5 + 4))*(-q**2 + 0*q**2 - 1 + 3).\nAnswer: -15*q**2 + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 372.5 and -0.4.\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*u + 49*u + 329 + 67 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ir when two letters picked without replacement from {q: 3, i: 1, z: 1, r: 7}.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 26*m. Suppose 18 = -2*j - 5*i, -j + 3*j = 5*i + 22. Let y be -1 + 0 + (12 - j). Let b(q) = y*q**2 - 11*q**2 - 2*q**2. Determine b(z(n)).\nAnswer: -2028*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4912*m**2 - 1674*m**2 - 1672*m**2 - 1569*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 11 - 9 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1219\/513 or 3?\nAnswer: 1219\/513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*y + 6008*y**2 - 6008*y**2 - y**3.\nAnswer: -y**3 + 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -10\/17, 6, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -17.18\nAnswer: -154.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1189187t in nanograms?\nAnswer: 118918700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) 5 (c) 0.05 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 2*l + l + 0 + 0 + (2 + 1 - 1)*(-1 + 1 + l) - 4 + 2*l + 4 + l - 5 + 5)*(3*l - 3*l - l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -9. Let y = 1687 + -1684. Let u be (y - -5)*(-7)\/z. Which is bigger: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(6\/11)\/(j**(11\/3)\/j*j*j)*j*j**(16\/5)*j*j*j*j**(-26)*j)**(-35) assuming j is positive.\nAnswer: j**(25319\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {z: 2, b: 1, m: 2, t: 1, y: 1, d: 2}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194?\nAnswer: 2, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 1, 4, -0.3, -42 in descending order.\nAnswer: 4, 1, -0.3, -4\/5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m + 6\/5 - 3\/5*m**3 + 12\/5*m**2.\nAnswer: -3*(m - 2)*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71647 + 17590\nAnswer: -54057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1)*1*380\/57. Let j(p) = -9*p - 2. Does 34 divide j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355 = -21*v + 1460 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 341 divide 13116565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49.71 - -49. Let g = z + 0.51. Let s be ((-2)\/132)\/(1\/(-2)). Which is the biggest value? (a) s (b) g (c) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((2*sqrt(70) + sqrt(70))*3 + sqrt(70))\/(3*sqrt(1000)).\nAnswer: sqrt(7)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 3:58 PM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/(-45) - (-2)\/6. Suppose y = -50*m + 46*m + 376. Let t = m - 48. Calculate the remainder when t is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (23\/(-3))\/(1\/21). Is (0 - 1)*(b + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-207)\/(-7) + 44\/(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.02 to two decimal places.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. Suppose i*h = -58 + 204. Suppose -9*f + 6*f = -57. Calculate the remainder when h is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*h - 1079 = -74*h + 3657 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from xogo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 23777547.6 and -9.159.\nAnswer: 23777538.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 844647912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/96648804 and 93\/20?\nAnswer: 483244020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(102)\/(-2*sqrt(6)*5).\nAnswer: -sqrt(17)\/10 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 247078.\nAnswer: -247077.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9125296 months to decades.\nAnswer: 0.02427108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -130 - -132. What is the third derivative of -24*d**5 + 46*d**g - 4305*d**4 + 4305*d**4 wrt d?\nAnswer: -1440*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.14, -1\/4, 50 in descending order.\nAnswer: 50, 0.14, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0.18 (b) -3 (c) 2 (d) 0.3 (e) 10\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 12, 3*k + r = 4*k + 10. Let q(c) = -c**2 - 9*c - 6. Let u be q(k). Let o = u - 8. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, a: 12}. What is prob of sequence ta?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 8*z - 20 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 5:10 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -189, -379, -569, -759, -949, -1139?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + f = -203, 4*u + 3*f = 838 - 19. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 8:53 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466614057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 3*t + 1. Suppose 6 + 3 = 3*z. Let g be z\/12 - (-19)\/4. Let k = g - 7. Calculate m(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 27. Is (3 - u)*22\/6 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/10 - 8\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 9 + 8 + 0*j)*(-j + 0*j - 2*j).\nAnswer: -9*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 3. Suppose 0 = 6862*m - 6815*m - 94. Let p(u) = u + 7. Give m*p(q) - 5*d(q).\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-759)\/(-2)*(-36172)\/(-6). Let l = v + -1397879. What is l rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -55. Let c(d) = 0*d**t + d**2 + d - 13 + 0*d. Suppose -4*x = -3*x. Determine c(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -10. Let k be (-3 - 7\/(-1))\/(-4 - -5). Sort b, k, 2 in decreasing order.\nAnswer: k, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -16. Suppose -5*f - 2*w + 60 = w, 24 = 2*f + x*w. What is the remainder when 22 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-3) - -10) + -4. Is w\/4*1552 - -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1254 and 66?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 837*d**2 + 7 + 768*d**2 - 7 - 357*d**2.\nAnswer: 1248*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o - 84 + 78. Put o, 5, 12 in increasing order.\nAnswer: o, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5 = -4*r, 4*r = -2*g + 19 - 21. Let l(z) = 13*z. Calculate l(r).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2100*m**2 + 87 - 455*m**2 - 87 + 512*m**2 to the form g + s*m**2 + w*m and give s.\nAnswer: -2043","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, u: 4, c: 2}. Give prob of picking 2 c and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 33*x**3 + 13*x**2 - 4*x - 4. What is the remainder when k(2) is divided by 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 490 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-4)*6\/(-3). Let y be (-12)\/8*(-2)\/q. What is the highest common divisor of y and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8115434 and 3278.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -132. Suppose -4*j + 2*m = 1 - 71, 5*j = m + 92. Suppose u = 3*p + j. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 28*p - 88. What is the remainder when 142 is divided by f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 4*k - 11. Let i be z(-10). Suppose -5*b + d + i = -b, -2*b + 2 = 4*d. Calculate the remainder when b is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/((v\/(v\/(v\/((v**(6\/29)*v)\/v)*v)))\/v*v))\/v))\/((v*v**19*v)\/v) assuming v is positive.\nAnswer: v**(-499\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0664 less than -37?\nAnswer: -37.0664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/2)\/(6\/(-32)). Suppose 0 = n + 2*i - u, 2*i + 1 = -2*n + 11. Suppose 7*p + 36 = 4*v + n*p, 0 = -4*v + p + 20. Which is smaller: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74994 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.20065*0.2\nAnswer: 0.04013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -510?\nAnswer: 510.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151735.3nm to micrometers.\nAnswer: 151.7353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let z = 176 - 178. Let x = h - z. Let r(i) = -i**3 + 1. What is r(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*13\/(-208)*(-8)\/34?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.9972 + 9. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.06 (b) 15\/4 (c) 2\/9 (d) -0.04 (e) 1346 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let f be (3\/2)\/((-9)\/12). Let x = 4 + f. What is the remainder when x is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176908 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1970814 divided by -1\nAnswer: -1970814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115 - -161.2. Let b = -46.1012 - -0.1012. Let g = j + b. Sort g, 0.3, -5, -2.\nAnswer: -5, -2, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -5*t + t. Let p = t - -56. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 - -6 - 0\/2. Suppose q = r - 5*r - 16, 5*o - 39 = r. Suppose 160 = -w + 6*w. What is the remainder when w is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -20. Let f be y\/(-12) - (-9)\/18. Which is the closest to f? (a) 2.2 (b) 0.4 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*x**3 + 801*x - 803*x + 4*x**3 in the form b*x + l*x**3 + u*x**2 + k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(4896))\/(sqrt(288)*1).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 9*t**2 + 11*t - 5. Let z be u(10). Suppose -10 = -z*r - 0. Solve 0 = -r*y - 4, 4*v = v + 3*y + 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-191541763\nAnswer: -191541763.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*u + 4*u - u. Let v(s) = -2 + 4*s - 2*s - 1. What is the lowest common multiple of v(3) and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**4 + 2*d**2 - 3. Let l(y) = y**3 + y**2 - y - 1. Suppose 6 = -z + k, -3*z + 6 = z + 2*k. Let c(w) = z*j(w) + 2*l(w). Factor c(o).\nAnswer: -(o - 1)**3*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 1 + (-6)\/(-15) + 2331\/185\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*d**2\/2 + 12*d - 2.\nAnswer: -(3*d - 2)*(9*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -712 - -611. Is l at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4215 and 24202530.\nAnswer: 24202530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, -14, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = -z + 15*k + 172, 12*k - 712 = -4*z. What is the biggest value in 2, z, 3\/2, 0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -0.2115912\nAnswer: 3.2115912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/11))**6*((y\/y**9)\/y)\/y**(-2\/25))**(-26) assuming y is positive.\nAnswer: y**(71578\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 870 from -708.\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -6. Suppose 2*v - 1 = 5*i, 0*v + s*i = 2*v. Let h be -1 - 2 - (-1020005 - v). Round h to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8454*r + 8446*r = 112 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143955096079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 637983031 to the power of 1\/2, to the nearest integer?\nAnswer: 25258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*k - 3. Let y(z) = -20*z**2 + 12*z + 29. Let u(a) = 7*a**2 - 4*a - 10. Let g(s) = k*y(s) + 17*u(s). Suppose -8 = -3*i + 4. Give g(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 156\/7*w - 54\/7*w**2 + 3\/7*w**4 - 120\/7 - 3\/7*w**3.\nAnswer: 3*(w - 2)**3*(w + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/5, 10, -23, 7\/12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2978*q - 2659. Determine h(1).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 39. Suppose 0 = -3*j - 5 + f. Does 23 divide 68\/3 - j\/(-45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-103)\/2*(-108)\/(-3). Let o = -5515\/3 - t. What is the common denominator of o and (19\/6)\/(1\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 61\/4 of a micrometer?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/825 and -107\/28320.\nAnswer: 1557600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 - 6*c + 3. Determine a(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-18)\/((-72)\/8)*105\/(-462).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w**(3\/5)*w*w)\/w))\/w**(-2)*(w**1)**14*w*w\/w**(-6)*w*w*w**(-4\/5)*w**5*w**(4\/7) assuming w is positive.\nAnswer: w**(1056\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + 21 - 45. Let d be 8\/(-6)*6\/r. What is the nearest to 1 in 3, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7642379 minus 0.2030092?\nAnswer: -7642379.2030092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -27 - (-3 - (-14 + 7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 162*m**3 + 2*m**4 + 0*m - 161*m**3 to the form j*m + w*m**4 + i*m**3 + g + z*m**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205122018?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*-1 - sqrt(119) - sqrt(119))*4 - sqrt(119) - (sqrt(119) - 1*sqrt(119))*-4)\/(-6*(sqrt(700)*-2 - sqrt(700))).\nAnswer: -13*sqrt(17)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-242))\/((-692)\/(-1903))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*r - 193 = -f - 15*r, r - 587 = -3*f. What is the common denominator of (6*(-8)\/60)\/((-147)\/f) and 32\/77?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/351 + (-49)\/65?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47893.\nAnswer: 47, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2073 - -2496. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -59, -2, -2\/7, 3, -100\/9.\nAnswer: -59, -100\/9, -2, -5\/6, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862 = 41*b + 2953 for b.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/5 - 74020*k**3 + 31097808*k**2\/5 - 870826432*k\/5 + 8128123136\/5 = 0.\nAnswer: -185134, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -9.1, 40, -0.5, 4\/3, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890 is divided by 108.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35702337 divided by 137?\nAnswer: 260601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - m - 1. Let f be p(-1). Let u = f - 0. Let d(r) = r**3 + r**2 + r. Let h be d(0). Is h < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31680\/280)\/(-88))\/(-9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/44662633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 - 1131*j**4 + 10503*j**3 + 30279*j**2 - 380100*j + 340452 = 0.\nAnswer: -386, -6, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/12954380 and 1\/4.\nAnswer: 12954380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/868 and -99\/124.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 144085, 0.4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + g + 4*g. Suppose s - 5*y = -3, g*y - 6 = -4*s + 2*y. What is the lowest common multiple of 4 and s\/6 + 30\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 348 - 325. Let f = 25 + -2. Does i = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3315408020 rounded to the nearest one hundred thousand?\nAnswer: -3315400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + u - 4. What is the tens digit of q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose o*g - 67 = 251. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 9. Let h = l - -3.5. Let n = 0.5 - h. Which is the third biggest value? (a) 4 (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3*(24\/9 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 0*s**2 - 4*s**3 + 8*s - 2 + 1\/4*s**4. Let g be f(12). Solve 4*w = -4 - g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/960261371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 - 3*i**3 + 4*i**3. Let c(k) = k**3. Suppose 8 = o + 3*o. Suppose o = j + 1. Calculate j*m(x) - 6*c(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 567b1 + -e?\nAnswer: 567a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 3*y**4\/4 - 119*y**2. Let w(g) = 11*g**2. Give w(i(d)).\nAnswer: 3564*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4\/45)\/((-5672)\/2127)\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3\/2 + 8287*w**2\/4 + 5182*w + 2073 = 0 for w.\nAnswer: -2, -1\/2, 4146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(847)*-2 + sqrt(847) - sqrt(847)) + 5 + 1 + (sqrt(77) - (sqrt(77) + -3*-1*sqrt(77)) - sqrt(77))\/sqrt(11).\nAnswer: -26*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 276 = 4*g - 248, 2*p = 9*g + 14 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 362*z + 12 = 361*z, -2*z - 3 = -q. Which is the nearest to 0.4? (a) 1\/27 (b) q (c) -3 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 980.52.\nAnswer: 1961.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a kilometer?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122801879 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -11*i + 34. Let q be (i\/3)\/(-2) + (-208)\/(-48). Solve 0 = 5*s + 3*p + 10, 0 = -s - 3*p - q + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -103*s + 145, u + 1432 - 1415 = -4*s for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, c: 3}. Give prob of picking 3 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**7\/735 + 4*b**6\/105 + 13*b**5\/35 + 4*b**4\/3 + 7*b**3\/3 + b**2 + 77*b. Factor m(r).\nAnswer: 2*(r + 1)**2*(r + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(8\/(-200)*5). Solve -y = v - 2, -r*v = 2*y - 2*v - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -78 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.595 + -12.495. What is the second biggest value in m, 0, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 + 6*s**2 - 6*s - 1. Let o(g) = -g**3 - g**2 + g. Let n(k) = 6*o(k) + u(k). Suppose 2*h + h = -9, 45 = w - h. Let r = w - 43. Calculate n(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (2 - (20 - 15)) - 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -5*q + 7 + 5, -3*q + 2*g + 3 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o + 4. Let f = 5 + -7. What is the remainder when p(3) is divided by 2*(-7)\/f*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.9 + 9.9. Let y = 1.3 - 6.3. Let o = y - -4. Which is the closest to -0.2? (a) n (b) 2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4980*f**4 + f**2 - 2090*f wrt f?\nAnswer: -119520*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = -10. What is the remainder when 24 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*m**3*o**2 + 13*m**3*o*y**2 + 166*m**3*o + 456409*m**2*o**2*y**2 + 2*m**2*o**2 - 13*m**2*y + m*o + 2*o**2*y + 8*o*y wrt y?\nAnswer: 26*m**3*o + 912818*m**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 4*c**2 - 11*c - 4. Let w be m(6). Suppose 0 = w*x + 10, u + x + 0*x - 446 = 0. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1710\/(-152) - 27) + 37.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1900) + 0 + -3).\nAnswer: -10*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -276, -335, -394?\n\"Answer: -59*p - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -4\/9, 1, 569, 2\/17?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 1:37 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-46) + ((-219954)\/(-46))\/7. Let a = l + -403. Is a a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwlxsih. Give prob of picking 1 x and 1 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express j - j + 16*j + j as h + k*j and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 87, 106, 143, 204, 295?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**6\/105 - 2*o**5\/35 + o**4\/7 - 4*o**3\/21 + o**2\/7 + 9*o - 3. Factor j(f).\nAnswer: 2*(f - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l + 2*l**2 + 3 - 2*l**3 - 2*l - l. What are the prime factors of m(-2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d**2 + 10 + 9*d**2 - 2 wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*c**2 + 206 + 10168677*c - 10168677*c as u*c**2 + j*c + o and give o.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 10*n**2 - n**2 + 7*n + 5*n - 8*n**2 to the form h*n**2 + k*n + m and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 4*u + 35. Let p = 378 + -370. Let w be k(p). Solve w*y + 5*f = 2, 0 = 5*y - 4*f + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/28 - 276\/(-84). Is 8 a factor of 694\/h - (7\/21 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*f = 174 - 309 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2)*(-128)\/(-6). Let m be 9\/6*(l\/(-12))\/(-4). Suppose -m*v = -5*v + 135. Round v to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 3*g**2 - 4. Let n be m(2). Put n, -108, 3, -3 in descending order.\nAnswer: 3, n, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**5)**(-20)*((b**(2\/21)*b)\/b)**(1\/33))**(-34\/7) assuming b is positive.\nAnswer: b**(2356132\/4851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26822*k**2*u + 5466*k**2 - 335288178*k*u wrt k.\nAnswer: 53644*u + 10932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414478517 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 6*((sqrt(288) + 4*(3*sqrt(288) - sqrt(288) - sqrt(288)))*-4 + 2)*5 + -3)**2.\nAnswer: -792000*sqrt(2) + 103683025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(252) + -2)*2)**2.\nAnswer: -96*sqrt(7) + 1025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/16 - 113\/112. Which is greater: -3\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-28)*(k**(-2)\/k)\/k)\/(k\/k**(-12\/17))**(1\/3) assuming k is positive.\nAnswer: k**(-1610\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -4.\nAnswer: -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11650357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.039 + -0.539. Let d = 122\/5 + -24. Let o = -8.9 + 9. What is the smallest value in v, d, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309435 is divided by 309320.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 5. Let z be l(3). Let x = z + -6. Determine m so that -12 + 2*m**x + 4*m + 4*m + 7 - 5 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10459, 1\/6, 5, 2364?\nAnswer: 2364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1116450 divided by 6\nAnswer: 186075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from {r: 1, p: 1, m: 2, j: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.268232 and 9.2.\nAnswer: 2.4677344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3632 + -3632.2. Sort 0, 11.3, q, -5 in descending order.\nAnswer: 11.3, 0, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 15*a + 8. Let t(n) = -2*n**2 + 14*n + 8. Let q be t(7). Let d be i(q). Solve 2*w + 8 = -b - b, -5*w + 3*b + 12 = d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2550*r**2*v**3 - r**2*v**2 + 3544*r**2 + 257*r*v**3 - 2*r + 2*v**3 + 4*v**2 + 7 wrt r.\nAnswer: -5100*v**3 - 2*v**2 + 7088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3\/4*n**2 + 0 - 3\/2*n + 3\/4*n**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.056946 to 3 dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15549574 and 6063?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562068.\nAnswer: 2, 3, 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1223363*b - 1082426 with respect to b.\nAnswer: -1223363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in 2\/7, -1\/2, 6, -1\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1*(-3096)\/9 - 4. Let c = p + 138. Suppose 5*z + 2*k = c, -4*z = -2*k - k - 676. What is the remainder when z is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: What is the greatest common divisor of 539 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*x**4 + 0 - 158\/3*x + 317\/3*x**2 - 160\/3*x**3 = 0. What is x?\nAnswer: 0, 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 105*q**3 + 27*q**2 - 1 wrt q.\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*z - 54*z + 26833*z**2.\nAnswer: 26833*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c - 111 - 122 - 76 - 105 + 311. Let g(u) = u. What is g(q(l))?\nAnswer: -2*l - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (81 + 65 - 56 + (-1 + 1 - 1)*(-2 + 2 - 1) + 1 + 2 - 2 + 3 - 2 + 0)*(0*t**2 + 5*t**2 - 4*t**2) as v*t + b*t**2 + g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {q: 5, r: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 17) + 3 + (4 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 9 + 10 - (-10 - -25).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 246068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 3*j - 22, 0 - 2 = j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kikfgfgfkfgkgkkg. What is prob of picking 1 k and 2 f?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 13240.\nAnswer: 278040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) 5 (c) 1\/7 (d) -2\/7 (e) -3 (f) -59\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4 + 1)\/(-3*1)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -39, -85, -139, -195, -247, -289, -315?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 76\/17 + -4146\/935. Let y(o) = o - 8. Let n be y(5). Let w(p) = -p**2 - 2*p + 4. Let j be w(n). Which is greater: f or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45281409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1095*((-2)\/8)\/((-15)\/(-20)). What is the third derivative of -8*o**5 + 356 + 11*o**5 - d - 34*o**5 + o**2 wrt o?\nAnswer: -1860*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (312\/(-26))\/(10\/(-5)*-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r**2 - 4235*r + 1302. Determine a(-265).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -1. Suppose 0 = -n*s - 3*o - 17, -4*s = 6*o - 3*o + 13. What is the common denominator of 79\/10 and (570\/(-16))\/(33\/s)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 12*p + 2. Let f(v) = -v - 1. Let j = -6464 + 6467. Give j*f(y) + t(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -24*g + 1. Let c(h) = -23*h + 1. Determine -6*a(w) + 7*c(w).\nAnswer: -17*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 + 39. Suppose i*c - 22 = 34. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52405952, 52405947, 52405940, 52405931, 52405920?\nAnswer: 52405907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304564 + -2189664. Round r to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3955827882 to the nearest integer?\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 13*x**2\/2 + x + 11. Let y(d) = 14*d + 1. Let s(q) = 4*j(q) - 3*y(q). Let w = -3 - -2. Give s(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 86*x**2 - 43*x - 78. What is the smallest common multiple of 2 and p(-86)?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:14 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*n - 1)*(2*n**3 - 2*n**3 + 2*n**3) - 2 + 2 + n**4 + (0*n**2 + 3*n**2 - 4*n**2)*(-5*n**2 + 4*n**2 - n**2) - 5*n - 13*n**4 - 3*n + 6*n.\nAnswer: -14*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-7)\/(252\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (96\/(-54) + -3). Which is the nearest to 2\/3? (a) -0.02 (b) 1\/8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 q when three letters picked without replacement from {y: 2, q: 2, f: 7, p: 2, w: 2, a: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 124?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express f - 3*f + 2*f**2 + 10*f**3 - 15*f**3 in the form t*f**2 + w*f + d*f**3 + v and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 - 40362*y - 64601 wrt y.\nAnswer: 3*y**2 - 40362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 33, 28?\n\"Answer: -5*g + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaazzziziaaaizazaizz. What is prob of picking 1 z and 3 a?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(70)\/sqrt(2) - (sqrt(105) - sqrt(105)*-1 - sqrt(105) - sqrt(105))\/sqrt(3))\/((2*sqrt(1440))\/(1*sqrt(128))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) 2 (c) -3\/16 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13454755 is divided by 3752.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 267948956 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmmjjvjjmmmj. What is prob of sequence mvjj?\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 6, e: 11}. What is prob of picking 2 e?\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 86, 81, 74, 65, 54, 41?\n\"Answer: -o**2 - 2*o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1667 a factor of 87950195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6331647923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -653\/2 - -327. Let v = 70 + -135\/2. Factor v*m + m**2 - 2*m**4 - 2*m**3 - b*m**5 + 1.\nAnswer: -(m - 1)*(m + 1)**3*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzzxzzxzzx. What is prob of picking 1 z and 1 x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*g**2 - 2 - 15*g**3 - 14*g**3 - 22*g**2 + 10*g**2 to u*g**2 + v*g + c + m*g**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c44 (base 15) to base 14.\nAnswer: 5cda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 15 = -9*w. Let g(y) = 11*y. Let a(x) = 6*x. Let n(v) = w*a(v) - 3*g(v). Let c(f) = -3*f**2. Determine n(c(d)).\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 130?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27328088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 2310\/627 + (-36)\/(-114).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + sqrt(135)*4)\/sqrt(3))\/(sqrt(3645)\/sqrt(5)).\nAnswer: 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 624517 + -137657. Suppose -2*y = 2*y + x. Let j = -181715 - y. Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/7 - 84\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -8*n + 1. Let l(d) = -17*d + 2. Let u(w) = w**3 - 15*w**2 + 27*w - 9. Let z be u(13). Calculate z*l(r) - 7*f(r).\nAnswer: -12*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -9*z. Let p(r) = -37*r**2 - 66656*r. Calculate p(f(u)).\nAnswer: -2997*u**2 + 599904*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1171, -4570, -10235, -18166, -28363, -40826?\n\"Answer: -1133*w**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 + 48 = -4*y. Let u = y + -53. Let v = u + 36. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*r - 4, 3*r + 2 = o - 5. Suppose 5*x - 114 = 2*x. Suppose -c = 2*c - 5*y - x, -5*c - 2*y = -22. Is c < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 11:49 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -419 + 2097\/5. Which is the closest to 1? (a) -3 (b) r (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 2*v + 61. Let b(o) = o. Let c(n) = -n - 29. Let u be c(-17). Let l(p) = u*b(p) - 3*m(p). Differentiate l(d) wrt d.\nAnswer: -9*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + 28 - (-171 + 125).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**6\/60 + j**4\/24 + j**2. Let f be 0*(2 + -2 + 1). Let h = -1 + f. Give b(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 31 + 10 + 4*k + 14 in the form j + m*k and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o + o**2 + 4*o + 3*o + 2*o + 2. Let m = 8 + -4. Let y be i(m). Solve -y*w + 0*w = -2*z, z = -2*w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 31*l - 131. Let g be r(5). What is the tens digit of (2 + 8\/(-3))*(g + -2176)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -2. Let r be n*15\/24*2. Suppose -r*x - 543 = -2*v, 4*v + 4*x = 5*v - 279. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*c + 0 = 6, 0 = 4*i + c + 79. Suppose -172 - 468 = -8*b. Let w = i + b. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and 1.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15703*b**2 + 409561*b**2 + 109954*b**2.\nAnswer: 503812*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 861 + -865. Sort t, 1, 767, -3 in ascending order.\nAnswer: t, -3, 1, 767","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210021 - 122?\nAnswer: 11202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 16*r**2 - 13*r - 32. Calculate f(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 3*l - 78, -2984*l + 5969*l - 2982*l = 6*y - 87 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.26 + 2.86. Let q = -4.5 - o. What is q rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12424663 (base 7) in base 4?\nAnswer: 10110200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28 and -8.455?\nAnswer: -236.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5\/4 + 309*o**4\/4 + 2673*o**3\/2.\nAnswer: 3*o**3*(o + 22)*(o + 81)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59253588 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (-2 + 5)*-1. Let r be ((-10)\/(-6))\/(y\/180). Let k = r - 70. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 - 39 = -46*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.298 - -183.702. Let f = h + -186. Which is the smallest value? (a) f (b) 2 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 296, 0.2367 in descending order.\nAnswer: 296, 0.2367, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 + f**2 - 9*f**3 - 4*f**3 + 5 to the form t + r*f**2 + z*f**3 + q*f and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10269, -41018, -92265, -164010, -256253?\nAnswer: -368994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/3 - -4)*-3. Let b = t + 9. Calculate the remainder when 18 is divided by (-3)\/b*1*20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11*-0.0769\nAnswer: -0.8459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 9760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/28668 and -59\/752535?\nAnswer: 3010140","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -24500000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*x = 500*x + 523*x - 19875 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, y: 1, j: 2, r: 7, v: 4}. Give prob of sequence yrdr.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - ((2 - 3) + 4)) + -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/2 - 10*h. Let v(q) = 2*q. Determine o(v(m)).\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 15 = 5*h, 3*h - 3*c + 13 = -c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 940*d**2 + 1232*d**2.\nAnswer: 2172*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 1\/2*o**4 - o**2 - 3*o + 1\/3*o**3 - 3. Calculate k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/20 and 17\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 941850.48 rounded to the nearest 1000?\nAnswer: 942000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4267, -9642, -15017, -20392, -25767?\n\"Answer: -5375*q + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -91435403, -182870806, -274306209, -365741612?\n\"Answer: -91435403*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 8:09 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -23*n + 32 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hsp when three letters picked without replacement from {s: 2, h: 1, p: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.806 + 0.194. Let l = v + -76. Suppose 3*j + 0 - 3 = 0. What is the closest to j in -1\/7, l, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/4 - 6\/8. Suppose -2*a = 2*l, y = l + 4*l + a - 4. Factor -l + t**2 + 0*t**2 + 0*t + 0*t.\nAnswer: (t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -47134*a + 518088. Calculate q(11).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d + 136. Let t(g) = -12*g + 131. What is -4*b(v) + 5*t(v)?\nAnswer: -4*v + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.5435744 rounded to three decimal places?\nAnswer: 42.544","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 510.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvn when three letters picked without replacement from {a: 1, n: 1, c: 1, v: 1, f: 11, p: 1}.\nAnswer: 11\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(150))\/(sqrt(8)*1*4).\nAnswer: sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -1\/120*d**6 + 0 + 3*d**2 - 1\/24*d**4 + 0*d + 1\/30*d**5 + 0*d**3. Determine w, given that t(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 9*j**2\/2 - 36. Let s(k) = -4*k. What is 6*i(y) + 14*s(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d. Let y(t) = -3808*t - 1. Calculate c(y(l)).\nAnswer: -7616*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 431*r - 4031. Is 33 a factor of y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 0*3\/6. Suppose -3*s + g*s + 2399998 = f, -4*s + 3*f + 3200006 = 0. What is s rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*l + 5 = 0, -199*l + 25 = -5*r - 200*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799 and 423.\nAnswer: 7191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 647075 to the power of 1\/2, to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 11 = -2*g. Let h = -13 + g. Let b = h - -44. Calculate the greatest common factor of b and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -4, 3464, 3, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - l**2 - l + 2. Let m = -62 + 64. Let a be u(m). Solve 3*v + 19 = c + 3*c, -a = -3*c for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = -54*d + 241. Suppose -4*z = d*i + 16, 0 = 5*i + 31*z - 29*z. Let a = -5 - -7. Solve -i*k - a*k = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2. Let f(v) = -10 - 975*v**2 + 1 + 35 + 1201*v**2. Let a(l) = -25*l**2 - 3. Let u(m) = 52*a(m) + 6*f(m). Determine o(u(t)).\nAnswer: 3136*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(40)\/sqrt(2))\/sqrt(10).\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1609512, 1609503, 1609490, 1609473, 1609452?\nAnswer: 1609427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04924297 - 12643.\nAnswer: -12643.04924297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -23746 (c) -82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 3. Let g be (-3)\/15 + (-16001)\/j. What is g rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63344 and 4321088.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/150 - 26\/(-30). Let s be (6\/(-3))\/(q\/(-8)). Let a = s - 14. Calculate the remainder when 3 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1439.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c - 17. Let o be d(4). Find the third derivative of -3*n**o + 16*n**3 - 3*n**2 - 4*n**2 wrt n.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y - 8 = 0. Solve -5*k = 20, -6*k + y*k - 31 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8420984 is divided by 6028?\nAnswer: 5896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -68.06, -4, -1, -2099?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3590413 (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 2 - 2 - (-97 + 99)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 585*o**2 + 7*o + 5*o + 13*o - 584*o**2 - 25*o.\nAnswer: o**2 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 220051379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (15\/10 - (-162)\/(-28)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 5 + 1 + 368. Let f = h - 346. Let w(m) = -5*m**3 + 4*m. Let t(i) = 30*i**3 - 25*i. Determine f*w(o) + 4*t(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -575226*k**2 + 1 + 3458*k + 2*k**3 + 287616*k**2 + 287617*k**2 + k**3 + 100*k**4 wrt k.\nAnswer: 1200*k**2 + 18*k + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(1\/59)*l))\/(l*l**39)*(l**14)**(2\/27) assuming l is positive.\nAnswer: l**(-62095\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m + 1. Let y(p) be the first derivative of -11*p**3\/3 - 5*p**2\/2 + 6*p + 4769. Calculate 5*u(a) - y(a).\nAnswer: 16*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 10. Let w(a) = 19*a - 140. Let q be w(7). Calculate k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*g - 519, 3*g - q - 131 = 386. Let r = g - 92. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/10210 and -69\/32672.\nAnswer: 163360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddd. Give prob of sequence dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14635 is divided by 286.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - ((2 - (-2 + 14)) + (27 + -1 - 10))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 504323 (base 6) in base 12?\nAnswer: 1b0a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - j - 4 + (4 + 2 - 4)*(-37 + 37 + 43*j) - 2 - 2*j + 2*j + j.\nAnswer: 86*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from bbnyzbpbbzyb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 11. Let f = -1 - i. Suppose 5*l - f*n - 20 = 0, -4*l + 0*n = n - 16. Solve 3*v = -l - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43043*y**6 - 181202*y**2.\nAnswer: -5165160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61330097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3019 + 3019. Determine w, given that -4*w + 8\/3 + 4\/3*w**3 + o*w**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 33 - -105?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10*(a*(a**(-7)\/a)\/a)\/a)**(-4\/3)*((a**(-3\/5))**22)**(3\/11) assuming a is positive.\nAnswer: a**(-74\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, -166, 2.5, -1, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + sqrt(448) + 1) + ((sqrt(700) + sqrt(700) + 0 + sqrt(700) + sqrt(700) + 1)*-1)**2.\nAnswer: 40*sqrt(7) + 11176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 11*y = -y + 219 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31*a**2 + 3*a - 27. Is s(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 3, -24, -71, -144?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2\/(j*j*(j*j**(-8\/3))\/j*j))**(-17\/5)\/(j*j\/j**(-2\/21)*j*j**(6\/5)*j*j**7*j**(-4)\/j*j) assuming j is positive.\nAnswer: j**(-1466\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + 1. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46756?\nAnswer: 2, 11689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197737659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-37)\/s**(5\/4))\/(s**(-18\/13)*s\/s**(2\/9)) assuming s is positive.\nAnswer: s**(-17617\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/37 at most as big as 34585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12579839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235241455 (base 7) to base 10.\nAnswer: 14632273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 4834\/2323?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4011 is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2341 (base 6) in base 11?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4726 and -1136802773?\nAnswer: 1136802773.4726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -42 + 1 + (-7245 - -7265)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + 4*f - 2*f)*(3*f + 2*f - 2*f)*(1 - 1 + f) to u + p*f + x*f**3 + l*f**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -21*p**4\/4 + 27*p**2. Let u(r) = -r**2 + 5*r + 15. Let q(k) = 2*k + 6. Let a(d) = -5*q(d) + 2*u(d). Give a(s(z)).\nAnswer: -31752*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9279 at least 9277?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.03145 + -0.96855. Let i = -1\/5 + 17\/35. What is the fourth smallest value in 5, i, -13, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36094491 divided by -6\nAnswer: 12031497\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/6 and -145\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4617*o**2 - 83*o - 9. Let d(b) = 4620*b**2 + 82*b + 9. Let j(f) = -3*d(f) - 2*p(f). Find the second derivative of j(i) wrt i.\nAnswer: -9252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -3. Let r be -4*(k + (-10)\/(-8)). What is the second smallest value in -0.4, r, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -4, 2, -3, -6.\nAnswer: -6, -4, -3, 2, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -3\/4*m**4 + 0 - 101*m**2 + 1\/90*m**5 + 0*m + 0*m**3. Determine i so that x(i) = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11445\/4158 + (-1 - 1) and -127\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = m. Let g be (m - 2)\/(2\/(-38)). Let t = -1 - g. What is the lowest common multiple of 14 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4427 and 25359953?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1850609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -88 - 40 - 118 - 28*y - 4*y. What are the prime factors of o(-26)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, -1\/44, 10.7?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 11. Let t be x(-4). Suppose -t = 5*h + 4*l, 0 = 2*h + 4*l - 3 + 1. Which is the second smallest value? (a) h (b) 0 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose -r - 9 = -b*r. Calculate the least common multiple of r and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294.832 times 0.08?\nAnswer: 23.58656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -168 + 132 + 13 + (-1 - -103)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 34 = 5*x. Let o be x\/2 + (-12)\/18*-3. Let k = -3 - 44. Put -3, k, o in decreasing order.\nAnswer: o, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261835408 divided by -65458852?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2. Let b(r) be the second derivative of 5*r**4\/24 + r**2\/2 - 3*r. Let d(z) be the first derivative of b(z). Determine d(y(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -244, -354, -466?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50364 (base 7) to base 11.\nAnswer: -918a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-801)\/3204)\/(((-5451)\/36)\/23)?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 x, and 2 k when four letters picked without replacement from {k: 7, x: 2, g: 9, r: 1}.\nAnswer: 63\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 819 and 22870939.\nAnswer: 205838451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 137 + -1139?\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3305605 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2081 and 22.124.\nAnswer: 2103.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0.03, -0.007, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -22, -16, 6, 50?\n\"Answer: r**3 - r**2 - 8*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54, -113, -174, -237, -302, -369, -438?\n\"Answer: -q**2 - 56*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 11. Let d be m(6). Find the second derivative of -5*r**d - 6*r + 24*r**2 - 24*r**2 wrt r.\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 4*b**3 + 3*b**2\/2 + 8. Find the second derivative of z(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**7\/294 - 11*r**6\/840 + r**5\/210 - r**2\/2 + r - 12. Let y(t) be the first derivative of o(t). Factor y(b).\nAnswer: b**2*(b - 2)*(5*b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -1)*(-9)\/(-6). Solve 8*u = t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 14*q - 39. What is t(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 688381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:12 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + 13.9. Let f = -4.2 - -7. Let s = -5.8 + f. Which is the closest to y? (a) 3\/8 (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 63*c - 16*c - 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-1*sqrt(16))\/sqrt(8))**2 + 1 - (((sqrt(24)\/sqrt(6))\/sqrt(2))**2 - ((sqrt(98)*2)**2 - sqrt(2))).\nAnswer: -sqrt(2) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a9d - 3c?\nAnswer: a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5109125 and 14875?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i - i + 1 - i)*(-2*i**2 + 3 - 3).\nAnswer: -24*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56928, 56925, 56906, 56859, 56772?\nAnswer: 56633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 5893*t - 721007. Give f(125).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + 12f?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z - 195. Let j be p(-18). Suppose 2*q = -3*m + 19345, -3*m + 9316 = -j*q - 10034. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000110101 (base 2) to base 8\nAnswer: -5065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394299 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 18 - (4 - 1). Suppose 11 - 5 = -u - 5*a, -2*u + l = 3*a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(75) + 3)*-3 + -4.\nAnswer: 32 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4984\/28639 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4005, -3955, -3943, -3963, -4009, -4075, -4155?\nAnswer: -4243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100773.8 times 0.08?\nAnswer: 8061.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -82, -223, -420, -673?\n\"Answer: -28*a**2 - a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus 3.2886?\nAnswer: 3.3486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 44*g - 3. Let m(b) = -4*b - b - 5*b + b - 3*b. Calculate m(q(t)).\nAnswer: -528*t + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4.426927928+-0.4\nAnswer: -4.826927928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*s - 1421*s - 279*s in the form f + p*s and give p.\nAnswer: -1309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w - 3. Let i(q) = 10*q + 7. Calculate -2*i(m) - 5*s(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11 - 0.01. Let g = -216.1 - -199. Let c = g + 16.1. What is the nearest to c in 4, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*a = -6851 + 6875, 2*z - a = -3*z + 24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/(-90))\/(-9 + 235\/15).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5 - 33456*f**4 + 167261*f**3 - 200702*f**2 - 133812*f + 267608.\nAnswer: (f - 33451)*(f - 2)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 + -997844072.56.\nAnswer: -997844072.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 93840 divided by -65\nAnswer: -18768\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1345 + -1345.1. What is the closest to 0.5 in -4, -1\/5, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1513 - -1530. Solve 5*u + 0 + 4 = -2*n, k = 3*n - 4*u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596204 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 t = 50 + -49.8. Which is the closest to -0.2? (a) t (b) 1 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - 10*f + 7. Give i(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 1:33 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:19 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.054055 less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-7)\/(14\/24). Let l = 50 - 58. Let n = l - d. Let j(a) = -a**2 - 2*a + 4. Determine j(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 3\/10 (b) -0.06 (c) -11 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + v + 6349 = -10*f, 4*v - 1566 = -f. Which is smaller: 1587 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 7 = -1. Let d = v + 4. What is the derivative of -6*o**3 + 3 + 3*o**3 + d*o**3 wrt o?\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234158603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/(f\/f**8*f))\/(f\/(f**(-5\/2)*f)*f*f**(-3\/8)) assuming f is positive.\nAnswer: f**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*6*((-2*sqrt(500))**2*1 + sqrt(500) - sqrt(500)).\nAnswer: 59999","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 5*m = -12, 5*z - 1833 = -18*m - 1721 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 - 0.19232207.\nAnswer: -2.29232207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -4 (c) 5\/2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-88)\/(-1) - (10 - 9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 8*p**2 - 15*p - 12. Give u(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 2)*15\/3. Suppose -4*a + 5*g + 15 = -10, 0 = 2*g + k. Is a\/1 + 139\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26677515 to the nearest integer?\nAnswer: 5165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86062187857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbgvlvlgu. What is prob of sequence vv?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 244314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 1. Let o(r) = -6*r**2 - 8. Suppose 2 = -c, 2*c + 7 = -5*h + c. Give h*o(w) + 8*d(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1215*j**3 + 4 - 7*j - 4*j + 1260*j**3 - 4.\nAnswer: 45*j**3 - 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 7*m**2 + 2*m + 1. Let x be t(7). Suppose 5 = -4*d + 5*r - 8, 2 = 2*r. Let p = x - d. What is the greatest common factor of p and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13664307 (base 9) to base 6\nAnswer: -401105354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-65)\/(-234) + 4\/18)*0. What is the nearest to -0.3 in q, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4584 is divided by 1519?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 381065817 to the power of 1\/2, to the nearest integer?\nAnswer: 19521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + -2206\/11. Suppose -3*p + 7 = 3*n + p, -2*n = 5*p - 7. Suppose 4*m - n = 15. Which is the smallest value? (a) m (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-465)\/(-1)*(290\/(-87))\/(-1*2). Let h be (-141)\/6*(6 - -2). Let c = h + o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1032087 > -1032086?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**4\/6 + 3167*d**3\/3 - 9868525*d**2\/6 - 86119096*d + 1934186016 = 0.\nAnswer: -67, 17, 3192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2398*a**5*u + 4981*a**4*u + 21*a - 46254*u + 2 wrt a.\nAnswer: 47960*a**3*u + 59772*a**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*j**2 - 17*j**2 - 19*j**2 - 32*j**2 - 18*j**2 + 82*j**2 - 16*j**2 - 14*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 1. Let j be f(2). Suppose 0 = -5*y - 2*v + 75, -3*y + 19 = v - 27. Suppose 7 = 5*m + 4*a, 5*a + 0 = 2*m + y. Sort m, 5, j in increasing order.\nAnswer: m, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11897 - -11897.000044986. Round l to 7 dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 24. Let d(u) = -u**2 + 4*u + 6. Let c be d(4). Suppose 0 = c*y + 2*y. Let q be b(y). Which is smaller: q or 70\/3?\nAnswer: 70\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:27 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -1.1. Let v(g) = 43*g - 88. Let n be v(2). Which is the smallest value? (a) n (b) 3\/4 (c) l (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/41 (b) 5 (c) 196\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 + g - 1. Let l be z(4). Let f = l - 39. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10, -0.3, -2\/5, 1\/3, -81, -12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/99, 1\/8, -2.9, -1\/10, -3.\nAnswer: -3, -2.9, -1\/10, -2\/99, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -129321 (base 11) to base 16\nAnswer: -317ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.7 - 21.7. Let q = -41 + -17. What is the smallest value in 0.5, o, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10 - 268*z**2 - 12*z - 2*z + 272*z**2 + 3*z + 9. What is j(5)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 131?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {d: 5, k: 1, b: 5, v: 8}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201124 + 232403?\nAnswer: 434032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1276.89 and -0.015?\nAnswer: 19.15335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g - 1185. Let t = 152 - g. Suppose -4*r - 4*d = 15 - t, -130 = -r - 2*d. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Suppose 0 = w*f + 2*f - 24. Solve -6 + 0 = -3*n, 2*n - f = -2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -5, 23, -1, 0 in descending order.\nAnswer: 29, 23, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -48. Let i be ((-3)\/(-6))\/(2\/d). Let k be (-38)\/(-14) + i\/1. Which is the closest to k? (a) -0.4 (b) -2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6655 is divided by 148.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 2. Suppose r*j = 7*j - 20. Let l = j - 4. Solve 0 = w - 0*w + l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 4*c**2 + c. Let p be o(4). Suppose -22 = -2*g + g + 5*d, -5*g + d = -14. Suppose 2*l + g*l = 0. Solve p + l = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4713 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*n + 14 = 0, -q + 3*n + 9 = -0*n. Let m(g) = 18*g + 1. Let p be m(2). Let w = p - 22. Solve s = q*s + w for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 + 3 = 0. Let c = -98 + 106. Suppose 10 = -a*v, 2*s = -v - c + 85. What are the prime factors of s?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*v = 8386. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/7 + 17172*n**4\/7 + 2454*n**3 - 34348*n**2\/7 = 0.\nAnswer: -2, 0, 1, 8587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 2*n - 253 = -5*a, -3*a - 143 = -2*n. Calculate the remainder when n is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 26*f**2 + 58*f - 4. Determine o(24).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/5 + 102*y**2\/5 + 219*y - 21. Find p such that x(p) = 0.\nAnswer: -5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.1 + -1.1. Let r = -6.5 + z. Sort -0.1, r, 0 in decreasing order.\nAnswer: 0, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 93\/(-31) + 17 + 1. Let c = -22 + 13. Let n = c + b. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 1, x: 1, z: 1, o: 1}. What is prob of sequence grz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (9 + ((4 - 10) + 0 - (-26 + 21))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 1 - 7. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -93, -123, -143, -153, -153, -143?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 i, and 1 g when four letters picked without replacement from ppppppppbigpip.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.98.\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2118*z + 3249*z + 2971*z)*(0 + z**2 + 0) to d + p*z + j*z**2 + c*z**3 and give c.\nAnswer: 4102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**5\/40 - v**3\/6 - 6*v**2. Let i(j) be the first derivative of a(j). Let u(r) = -6*r. What is u(i(b))?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1015, 4, 8.\nAnswer: -1015, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31588, 126505, 284692, 506143, 790852, 1138813?\nAnswer: 1550020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*a**2 + 230*a - 230*a - 24*a**2 as k*a + x + m*a**2 and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 515*h**2. Let x(n) be the second derivative of -n**4\/4 - 21*n + 8. Calculate x(s(i)).\nAnswer: -795675*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/(9\/(-15)). Let j = -19 - -33. Suppose -3*y - l + 5*l = -31, l + j = 2*y. Sort -1, y, k in ascending order.\nAnswer: -1, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9 = -27. Suppose -4*c + 12 = y, -3*c + c + 3*y = -f. Let v be -150*(360955\/(-15) - c). Round v to the nearest 100000.\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -4\/7 (c) -3 (d) -0.4 (e) -4514\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 6219 (c) 0.5 (d) 1882\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12450340 (base 9) to base 4\nAnswer: 113110330323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*c + 657*c + 22*c = -22154 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163089959.\nAnswer: 17, 1483, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 14*j**2 + j + 19. Let i be u(-14). Suppose -225 = -3*z - i*b + 2*b, 2*z - 5*b = 178. Suppose z + 65 = 3*q. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1\/70924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 - (15\/60 - 39218\/8).\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/39 + 42\/910)\/((-2)\/(-15)). Factor 3\/2*j + 3*j**2 - 3 - r*j**3.\nAnswer: -3*(j - 2)*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*c - 41 = 0, -5*d - 34 = c - 206. What is the highest common divisor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1008) + -1)*-1*-6)**2 + (-6*(3 + -2 + 0 + sqrt(1008) + sqrt(1008)))**2.\nAnswer: -1728*sqrt(7) + 290484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532381246 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 413 = 6*s + 107. Is s a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*t**2*z**2 - 268*t**2 + 2*t*z**3 + z**4 wrt z.\nAnswer: 176*t**2*z + 6*t*z**2 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.7, -4\/5, 1\/2, 3\/8, 3334 in ascending order.\nAnswer: -4\/5, 3\/8, 1\/2, 2.7, 3334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + (1 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8 - 15 + 4 + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*v = 0, -2*d - 5*v - 23 = 6. Let f(h) = h**3 + 2*h**2 - 2*h - 1. Determine f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) -3 (c) 0.1 (d) -2 (e) 48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1\/4, -915, 2\/7, -0.06, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1300202201 (base 4) to base 16.\nAnswer: 708a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (7 - 5 - -2 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4643, -8539, -12433, -16325?\n\"Answer: h**2 - 3899*h - 745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*k + 27 + 47 + 31 - 135 + 29.\nAnswer: 475*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 29*m**2 + 10*m + 55. Suppose 3*k + 4*b = k, 4*b - 8 = 0. List the prime factors of t(k).\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d**3 + 11*d**2 + 3*d + 2. Let q be z(-5). Suppose 3*n + 2*n + 5 = 0. Let y be 1 + n - (-4)\/1. What is the highest common factor of y and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**3*z**6 - 27*b**3*z - 44*b*z**6 - 2*b - 2*z**2 wrt z?\nAnswer: 120*b**3*z**3 - 5280*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 24434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 + 51*n**2 + 1838 + 502 - 224*n**2 - 7*n**3 - 2085*n - 77*n**2 = 0.\nAnswer: -39, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90808655 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -615316046 and -41.6?\nAnswer: 615316004.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 0.07171.\nAnswer: -2.92829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222051460*h**4 + 414*h**2 + 6894*h + 2 wrt h?\nAnswer: -5329235040*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.41 - -0.31866251783\nAnswer: 2.72866251783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -37*s + 40. Let f be a(0). Let m be 1 - (0 + -5 - 2). What is the greatest common factor of m and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156853182 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (-36 - (35 + -24))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from ttktttttktkkk?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:01 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 12*(-3)\/((-15)\/10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12. Solve -3*n + n - 8 = q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1598400 rounded to the nearest ten thousand?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -157490624617 and 179.\nAnswer: -157490624438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 2) + (3605 - 3550)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v + 3*m - 1211, 2*v - 472 = 5*m. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 23*s + 83. Calculate c(-15).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 55323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1425 + 5149. Does 133 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 46\/31 - -1\/62. Let s = -2086.8 + 2087. Which is the closest to y? (a) s (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-9 - (14 + 3 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + 12. Let i be (0 - 227)*1 - k. Let n = -157 - i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44253 - 1?\nAnswer: -44254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 16*j + 18. Let o be m(10). Let a be -1 + o\/10 - (-21)\/105. Sort -2, 5, a in increasing order.\nAnswer: a, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/615, 5, -2\/201?\nAnswer: 2\/615","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(2\/5)*p)\/p)**(-32))**(-3\/10)\/(((p*p**(-4\/7))\/(p*p**3))\/(p**4\/p**(-1\/3))) assuming p is positive.\nAnswer: p**(12214\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**7\/42 + 11*d**6\/75 - 7*d**5\/25 + 2*d**4\/15 - 3*d + 87. Factor l(p).\nAnswer: -p**2*(p - 2)**2*(5*p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, b: 3}. Give prob of picking 3 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10\/53 (b) 2\/9 (c) -2\/57 (d) 5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 482454113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 3*d - 4 + d + 6*d - 14*d.\nAnswer: -11*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 6*o + 3. Let j be f(6). Suppose s = 4 + j. Let z = 13 - s. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5625201809?\nAnswer: 5625201809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, -0.24, -3, -264662?\nAnswer: -264662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 0 + sqrt(125) - (sqrt(125) + 4*(sqrt(125) - (sqrt(125) + -1)))) + -1*sqrt(125)*4 + sqrt(125) + (sqrt(125) - 2*sqrt(125)) + -4)*3)**2.\nAnswer: 2520*sqrt(5) + 18441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9943143 divided by 3.\nAnswer: -3314381","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 11:32 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22950*f*q**3 + 126*f*q**2 - 2*f*q - q**3 - 5*q**2 + 45*q - 6430 wrt f?\nAnswer: 22950*q**3 + 126*q**2 - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2*m**3 - 5)*(-40 - 68 - 191) to the form s*m**2 + t*m + d + g*m**3 and give g.\nAnswer: -598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000205324983 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -82 - -30. Let n = 53 + d. Let w(s) = 3*s**3 - 16*s**3 - 6 + 7. Give w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/12 - o**3\/3 - 2*o**2. Let w be b(-6). What is the units digit of (16\/w)\/(8\/20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1018 divided by -1018.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -231*d - 1563. Determine u(-4).\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5811 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 2100*o - 10400 = 0.\nAnswer: -520, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvddvovov. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 993, 1353, 1713, 2073, 2433, 2793?\nAnswer: 3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1010 - -1098. What is the greatest common factor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*i + 25 = 0, h - 9*i = -13*i + 20. Let r be (1\/2)\/(3\/(-4)). Let d = -0.1 + 0.6. Which is the closest to h? (a) d (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*z + i = 115*z + 17, 2*z = 4*i - 32 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 9. Suppose -2*r = r - 27. Let q be 10\/(-6) + 20\/3. Solve -a = -y*a - i + r, q*a - 29 = 4*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560939349, 1121878697, 1682818045, 2243757393, 2804696741?\nAnswer: 3365636089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 15 = -2*d - 0*k, -5*d - 5*k + 15 = 0. Let n(i) = -i**3 + i**2 + 6*i + 2333. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*p + 3*k, 12 = -p - 0*k + 2*k. What is the nearest to -1 in -33, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 1 + 3*u**2)*(180*u + 214*u**2 - 86*u - 94*u).\nAnswer: 642*u**4 + 642*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*p + 16. Let o(l) = -21*l + 4. Let r be o(p). Let c = r - 72. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - -63. What is the remainder when t is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l - 16*l + 5 - 12*l + 46*l. Let v(m) = -2*m - 14. Let q = 13 + -5. Calculate q*u(p) + 3*v(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 13 - (1 - (-6 + -20)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.443 + 2.503. Is -169 greater than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 927557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**5*s - 158962772*h**2 + 5*h + 13915539*s wrt h.\nAnswer: 20*h**3*s - 317925544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 50*t**2 + 1. Let l(i) = 21*i. Determine l(o(s)).\nAnswer: 1050*s**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-38)\/(-4))\/((-4)\/(-16)). Suppose 3*m + y - q = 2*y, -5*m = -y - 66. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 5*n**2 - 5*n - 1. Let b(a) = 12*a**3 + 11*a**2 + 11*a + 2. Let c(f) = -4*b(f) - 10*s(f). Let c(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (-64)\/(-6) + (-16)\/24?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -10 + 34. Let j(f) be the third derivative of f**6\/120 + f**5\/10 - f**4\/24 - f**3\/3 + 3*f**2. Determine j(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7534*i + 241. Is l(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 29. What is the lowest common multiple of n and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 1\/3 - (-10862)\/48 - 6\/(-16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 3 + 8)*(5*a - 3*a - a + (4 - 2 - 1)*(3*a - 3*a - 2*a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -175 - -362. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 1358?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1455*u + 9 + 725*u + 730*u + u**2 + 17. Let q be 6\/15 + (-2)\/5. Determine r(q).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**3 + s**2 - 3*s. Let q(h) = -13*h**3 - h**2 + 5*h. Let v(t) = 7*a(t) + 3*q(t). Determine r so that v(r) = 0.\nAnswer: -1, 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2 = 2*t + 10, -t = 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -905 - -515. Let x = q + 390.0000549. What is x rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*98.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-216)\/(-45))\/4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18297?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*r**2*t + 10772774*r**2 + 124489*t wrt t?\nAnswer: -15*r**2 + 124489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b + 1. Let h(f) = -f**2 - 2*f - 1. Let t(i) = 5*h(i) + 6*m(i). Let a be 1\/(0 - 1\/(-2)). Determine t(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 - d + 1. Let x(g) = -2*g**2 - 90*g + 86. Let h(u) = x(u) + 2*y(u). Factor h(c).\nAnswer: 4*(c - 22)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 147 + -104. Let q = c - -205. Let m = q + -79. What is the highest common factor of m and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000116 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - o - 19, j + 30 = 4*j - 3*o. Let l(b) = -j*b + 26*b - 15*b. Let t(f) = 3*f - 2*f + 7*f + 11*f. Determine t(l(i)).\nAnswer: 38*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*p = -492*p - 795*p - 11128 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1072, -2097, -3122?\nAnswer: -4147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.102 times 49522\nAnswer: -5051.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 31. Suppose p - 2 = 1. Which is bigger: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y - 2. Suppose b - 4*b = 6. Calculate l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + n - 6 = 0, -4*x + 3*n + 31 = -7. Let o be (14\/x)\/(27\/12 + -2). Let z be (o + -6)*3\/18. What is the second smallest value in -2\/13, -0.5, z, -2\/15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 - 62*j**2 + 10*j - 122. Let v be m(31). Calculate the greatest common factor of 8 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45989077?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-10\/11)\/f**(15\/2))**19 assuming f is positive.\nAnswer: f**(-3515\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*b - 35 = 144*b. Sort -63, b, 0.\nAnswer: -63, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2215, -30, 10.8, 0.5?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 30 = -0*w. Let d(z) = 26*z - 61. Let p(n) = 50*n - 121. Let t(m) = w*p(m) + 5*d(m). What is the derivative of t(y) wrt y?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -122629 less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37.68849 millennia?\nAnswer: 3768.849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 52493552\/13 and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a + 2*a)*(-1 + a + 1 + a + a + 0*a - 40 + 40 - 21*a + (-3 + 2 + 2)*(4*a - a + 0*a) - a + a + 2*a).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1248, -2503, -3778, -5079, -6412, -7783, -9198?\nAnswer: -10663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -20.086. Round h to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.562 - 0.262. Let o be 27\/9 - (2 + 6). Which is the second biggest value? (a) t (b) -0.5 (c) o (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 441?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5)*(68*g - 33*g - 27*g) + (-2 + 0 + 0)*(2*g + 3 + 2 + 0) to c + b*g and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.0657 * -0.008\nAnswer: -0.0085256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 608766060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) - 8 - -8. Suppose -f - 4*m = 13, f = 6*f + 4*m + 33. Sort f, l, -4 in descending order.\nAnswer: l, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 24*z - 7. Let f be d(-13). Let g = 173 - f. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/2 (c) -2\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 152, 349, 610, 923, 1276?\nAnswer: 1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -415264 and 518414569.\nAnswer: 517999305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 34 = 122. Suppose -g = 5*f - 9 - j, g = 3*f + 24. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 106 = -329. Suppose 7*n - 208 = 51. What is the remainder when t is divided by n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 18*g**3 + 38*g**3 + 2 - 1 + 0. Does 13 divide y(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + y**2 + 33*y\/5 + 27\/5.\nAnswer: -(y - 9)*(y + 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 18. Let z(l) = 2*l**3 + 17. Let w(m) = -5*f(m) - 4*z(m). Differentiate w(k) wrt k.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)\/p**(1\/4))\/(p*p**(-2\/7))**(8\/11) assuming p is positive.\nAnswer: p**(-2701\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jm when two letters picked without replacement from {d: 4, j: 3, i: 3, l: 1, m: 6, x: 1}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g**(1\/2))**(-2)\/(g\/(g**5\/g)*g\/(g*g**3*g))*(g*g**(6\/5)*g**2)\/(((g*g*g*g*(g*g*g**(-3\/2))\/g)\/g*g)\/(g**0\/g)) assuming g is positive.\nAnswer: g**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -191 and 118.\nAnswer: -22538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2928 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -565.81531 to the nearest integer.\nAnswer: -566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 10*d - 19*d + 8*d - 2*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 6 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b (base 14) in base 4?\nAnswer: 21303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u**2 + 6*u - 5. Suppose 0 = -p + 3*v + 4, v - 6 + 4 = p. Let m be s(p). Does 17 divide 1\/3 + m\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24967123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*p**4 + 3*p + 26*p**4 + 5*p**3 + 21 + 14*p**4 - 4*p**3 to m*p**3 + w*p**4 + s + z*p**2 + o*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-7))\/p)\/p)\/(p\/(p\/(p*(p*p**3*p)\/p)))*p**(-4)\/p**(3\/4) assuming p is positive.\nAnswer: p**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*p + 27, -65*p = -67*p - j - 1. What is the nearest to -0.1 in 0, -12, p, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*h + 2*h - 11, -16 = -2*h - 4*p. Suppose 2*j = -j. Put 6, 3, h, j in ascending order.\nAnswer: j, h, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-42)\/12*5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23092160 and 10560?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16\/56)\/(3\/(-42)). Suppose -4 = -0*f + f. Is f at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/7 (b) 5 (c) -0.1 (d) -1\/16 (e) 100.1 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 6*k - 4*k. Let u = -23 + k. Suppose u = l - 6 - 6. Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i - 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -0.1. Let v = 0.9 - r. Let m = 0.101 - 0.101. What is the nearest to v in 0.2, m, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1752451 divided by -14.\nAnswer: -1752451\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1300) + 1))**2.\nAnswer: 720*sqrt(13) + 46836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**3\/3 + 5. Let c(h) = 2*h**2 + 0*h**2 - h**2. Let j(y) = 2*c(y) - 4*m(y). Let u(z) = -z. Calculate u(j(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*b = -26, 2*v - 3*v = 4*b - 11. Suppose v*n - 246 = 13. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from nrvvfcuvfcrfccr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -767317130890 + 767317129969.000000713. Let d = v - -921. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1301 or 1307?\nAnswer: 1307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 14 - 1 + 5 + 4*l**2 - 163*l as s + a*l + x*l**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 (base 14) in base 10?\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 = 2*k - 267. Is 4083\/k*(9 - (-168)\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31110000 to the nearest one million.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p - 3. Let o be x(-1). Let n = -12 + o. Suppose 0 = -5*c - 10, -c = n*l - l - 975. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2200 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38833*d**3*u**3 + 2*d**3*u**2 + 5*d**3*u + 3*d**3 - 23118*d**2*u**2 - 20*d*u**3 wrt u?\nAnswer: -232998*d**3 - 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-19) - (2 - 3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*r + 270 = 0. Suppose 10*o - 295 - 1085 = 0. Let k = o - r. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 3*f + 3*f)*(0 + 3 - 5)*(2 + 0 - 1) - 357*f - 11493 + 11493.\nAnswer: -353*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -594251 + 935239. Let t = b - 901306. Let u = t + 1000318. Round u to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**2\/2 - 4. Let z = -24 - -40. Let u(x) = 16 + 6*x - z. Calculate k(u(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-6))\/(2\/8). Let q be (-3 - (-3 + 1)) + 3. Suppose q*d + 6 = -4*d. Sort d, 1, x.\nAnswer: d, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l. Let c(v) = 8*v**2 - v - 1. Calculate -c(m) + u(m).\nAnswer: -7*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(10\/11))*y)\/y**(-2) assuming y is positive.\nAnswer: y**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:22 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 5:11 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22324.81 centimeters in meters?\nAnswer: 223.2481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5415 - 2692. Suppose 19*h - 26*h + w = 0. Is h a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2*y + 17115*y**3 - 15652*y**3 + 22485*y**3 + 99148*y**3.\nAnswer: 123096*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4878)\/15)\/((-4)\/10). Suppose -3585 = -6*x - c. Let h = x - 167. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7015 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 0*q + 159 - 3\/32*q**4 + 3\/16*q**2 + 1\/40*q**5 - 1\/24*q**3. Determine n, given that s(n) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/9, 0.26, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.093872021 + 5\nAnswer: 4.906127979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1\/10, -5, 3\/7, 0.04 in descending order.\nAnswer: 5, 2, 3\/7, 0.04, -1\/10, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u - u - u. Let j(t) be the third derivative of -t**5\/30 + 97*t**2. Determine w(j(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, i: 3, u: 1, c: 2}. Give prob of picking 1 u and 2 z.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 1*(-7 + 5) - 7. Let c be (-3 + 2 - -1) + -5. Sort 1, a, c.\nAnswer: a, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 5:22 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23902228 to the power of 1\/2, to the nearest integer?\nAnswer: 4889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -3432 + 3828. Let b = 15 - 11. Let v(o) = 2*o**3 - 7*o**2 + 4*o + 4. Let f be v(b). Calculate the highest common divisor of x and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 34. Suppose -c - 17 = 5*h, 3*c - 2*h + 3*h = 5. Solve -c*r + z = -9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1130\/2825*(-10)\/(-2). Factor -12*i + 4\/3*i**z + 56\/3.\nAnswer: 4*(i - 7)*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + -28?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 1. Let g = -37 + 43. Determine l(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven quarters of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ieiedzdzzzdieezzzd. What is prob of picking 1 i and 2 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(((-672)\/180)\/(-14))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3\/7, -42, 0.1, -25?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 + 68. Suppose -w + i = -34. Is w a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3330 divide 205608554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4)\/((-1296)\/9).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.26 - -0.14. Let z = p - 0.4. Sort 1, z, -5 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 8*s - 1\/6*s**3 + 0 + 0*s**2. Let v(w) = 7*w**2. What is v(j(h))?\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 267 (c) 36 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmc when three letters picked without replacement from {m: 2, p: 3, f: 1, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**5\/2 - 5*d**4\/2 - 151*d**3\/2 + 249*d**2\/2 + 98*d - 98 = 0?\nAnswer: -7, -1, 2\/3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 3 + q**2 - q**4 - 2*q + 0 - 2 + 0 + 5*q**3 to a*q + i*q**2 + n*q**3 + v*q**4 + m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 33. Solve 0 - 4\/5*x - 2*x**q + 6\/5*x**3 = 0 for x.\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -53. Suppose -4*m = -0*m - j. Suppose 2*x - 239 = -2*x - 3*r, -r = 4*x - 229. Calculate the greatest common divisor of x and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717100707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 + 5*q. Determine k(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/5 + (-2)\/10 + 11. Let q(y) be the second derivative of -3\/100*y**5 - y + 0*y**3 + 0*y**2 + 0*y**4 + 0 + 1\/50*y**m. Find w such that q(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409.7413 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -51*d**3 + d - 2. Calculate b(1).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**3*f**2 + a**3*f*s - 3*a**3 + 25*a*f**2*s - 218251*f**2*s - 6485713*f wrt f?\nAnswer: -6*a**3 + 50*a*s - 436502*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (8 - (-2 - -8)) + -4 + -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 14. Let u be (-2)\/x + 7\/(-4). Sort 2, u, 5 in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**2)\/(h**(-5)\/h))**49 assuming h is positive.\nAnswer: h**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*n + 399 - 139 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 377963?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4, 7*g + 4*m - 2 = 5*g. Sort g, -5, -3 in decreasing order.\nAnswer: -3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 34559952 = -5*t. Suppose -5*g = -3*g + t. Let u be g\/(-4) - 6\/(-4). Round u to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 9:37 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 8.91. Let u = g + -5.09. Let p = u + 4. What is the second smallest value in p, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 2:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 83660 and 470?\nAnswer: 83660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n + 80 = 32*y - 36*y, -9*n - 3 = 4*y + 49 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*c + 2005 - 2185. Sort -4, c, 44 in increasing order.\nAnswer: -4, c, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 2. Let y be q(-3). Suppose 4*b - 9 = 15. Let u = b - 3. Solve 5*n = 0, -f - n = -u + y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/23550 and 149\/336?\nAnswer: 1318800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + 4*sqrt(75).\nAnswer: 7 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of 0*f**2 + 1\/2*f**3 + f + 0. Let k(b) = -5*b - 15. Let t(z) = -11*z - 35. Let l(p) = -14*k(p) + 6*t(p). Determine m(l(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0)*(-6 + 14). Let y = h + 30. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/(-14))\/((-12)\/14). Let k = -7\/94 - -293\/1410. What is the fourth smallest value in 0.3, k, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*u - 3, -u = -0*a + 4*a - 15. Suppose -f - 6 = 2*f. Sort f, u, -33.\nAnswer: -33, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 0, 32 in decreasing order.\nAnswer: 32, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cucb when four letters picked without replacement from eeeccebccebecubb.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4018, 4017, 4016, 4015, 4014?\nAnswer: 4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -1. Suppose 5*y = 3*u + 6 - 4, 10 = -5*u + c*y. Sort -0.08, u, -1 in decreasing order.\nAnswer: -0.08, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**3 - 78*f**2 + 749*f. Let h(c) = -2*c**3 - 83*c**2 + 748*c. Let b(t) = -5*h(t) + 4*w(t). What is the second derivative of b(s) wrt s?\nAnswer: -12*s + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 130?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*c - 21 + 3, 5*c + 10 = 5*u for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/48 and -28\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -35?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 18\/5 of a microgram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 185 = 13. Let v = o + -16. Find the common denominator of -52\/5 and -3 + 1 + v\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000050115 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 2*j + 20*j)*(-j**4 + 2*j**4 + j**4) + 0*j**4 - 2*j**5 + 0*j**4.\nAnswer: 32*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -o - j - 1033, -347 = o + 3*j. Let q = o - -2069\/6. Let p = -3600 + 57577\/16. What is the common denominator of p and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 6*d**2.\nAnswer: -3*d**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 21*r - 15 + 5*r + 6*r + 3*r**2. What are the prime factors of t(-15)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k. Let a(g) = -199*g. Give q(a(y)).\nAnswer: 995*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r**5\/2 + 236691*r**4\/2 - 149349711*r**3 + 889742863*r**2 - 2637573555*r\/2 - 56927025\/2 = 0. Calculate r.\nAnswer: -1\/47, 3, 2515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.25981km to micrometers.\nAnswer: 55259810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -212132?\nAnswer: -212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/9)\/(v*v**7))**6 assuming v is positive.\nAnswer: v**(-140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6*d)*(-4*d + 0*d + 14*d)*(3*d**3 - d**3 - 3*d**3)*(-31 + 37 - 206)*(4 - 1 - 2).\nAnswer: 12000*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31545367793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from xxxxxxaaxxaaxaxxaxx?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1c4168 (base 14) to base 8\nAnswer: 3664640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 0 = -17*t. Suppose -m = -2*l + 5*l - 7, l = -t. Let y(f) = -f**2 + 13*f + 12. Calculate y(m).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-22)\/8 - -2). Let c be (-17)\/(-153)*1\/(-2). What is the closest to 5 in -2\/7, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 65, 5, -2\/17.\nAnswer: -2\/17, 5, 30, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2957*g + 1967*g - 79885 - 32507 = 11498*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12*(-1 + 2))\/1. Let y(v) = -4*v - h + 2*v + 4*v. Let f = 79777 - 79769. What is y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64142 (base 10) in base 6?\nAnswer: 1212542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -211*j**2 + 5486*j - 1. Give y(26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*d = 3*o + 16, -3*d - 30 + 60 = 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5e (base 15) in base 12?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -35597, -35596, -35595, -35594, -35593, -35592?\n\"Answer: i - 35598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 785892 and 7461?\nAnswer: 2357676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1872) + 5 + 3)**2.\nAnswer: 216*sqrt(13) + 1953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -429 + 430. What is the closest to s in -2\/5, -3, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50\/25*3\/(-27)*-9. Factor -4\/13*n + 2\/13 + 2\/13*n**a.\nAnswer: 2*(n - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 827325 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4, 3*j - 7*l + 58 = 75 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffvf when four letters picked without replacement from fvvbbbbffbffvof?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2\/i)\/i)\/i)**(-39)\/(i**(2\/5))**(-2\/13) assuming i is positive.\nAnswer: i**(2539\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 - 7692*o + 3932290\/3.\nAnswer: 2*(o - 11365)*(o - 173)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (21 - 21)) + (0 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o. Let b(c) = 4*c**2 - 2*c + 6. Let z(t) = 12*t**2 - 5*t + 16. Let v(k) = -8*b(k) + 3*z(k). Calculate r(v(s)).\nAnswer: 16*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -60?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2467 + -2466.9. Let y(m) = m**3 - 8*m**2 + 7*m - 9. Let f be y(7). Sort 4, l, -1, f in decreasing order.\nAnswer: 4, l, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of j**3*o**2 - 449*j**3*o + 41*j**3 - 20*j**2 - 243*j*o**2 wrt j.\nAnswer: 6*o**2 - 2694*o + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(162) + 1)**2)*-1.\nAnswer: -161 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 f when four letters picked without replacement from ffifffiffffffc?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2404 by -2.\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 87708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkkk when four letters picked without replacement from {k: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -128150 divided by -5?\nAnswer: 25630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -703, -1731, -2759?\nAnswer: -3787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 12*r - 39. Solve -h + 4 = f, r = 3*h - 3*f - 7 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b**4\/7 + 429*b**3\/7 + 678*b**2\/7 + 285*b\/7 - 18\/7 = 0.\nAnswer: -6, -1, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o + 3. Let y be h(-3). List the prime factors of ((-88)\/y - -4)*-5*-36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 103 = 3*r - 17*p, p + 21 = r. Calculate the remainder when 56 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t**2 + 18*t + 2*t + 9*t**2 in the form p*t**2 + c + x*t and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18494.5188 + 18565.5. Let n = 0.21 - -70.79. Let a = n - c. What is a rounded to 3 decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -85*a**3 + 7*a**2 + 3*a - 13. Let u(b) = 175*b**3 - 15*b**2 - 6*b + 28. Calculate 6*u(h) + 13*x(h).\nAnswer: -55*h**3 + h**2 + 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (sqrt(243)*-2 + 0 + sqrt(243) - -1*(0 + sqrt(243) - sqrt(243)) - (-5 + 4 + sqrt(243) + -1))**2*-2).\nAnswer: -288*sqrt(3) + 3908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36265997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 - 3*r**4 + 3*r**4)*(5 - 2 + 1) + (2*r**2 + 4*r**2 - 3*r**2 + (r - r + 2*r)*(21 + 5*r - 21) - 2*r**2 + 0*r**2 + 0*r**2)*(-r + r**2 + r).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (19\/((-9405)\/(-54)))\/(22\/(-165)*6)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xex when three letters picked without replacement from xexxeeeexx?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 5:07 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**2 - 8*v**3 - 10 + 0*v**3 + 11 to y*v**3 + b + r*v + f*v**2 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 4 = 2*l. Suppose -2*a - m - 2 = 0, 2*m + 4 = 5*a - a. Suppose 4*t + 6 - l = a. What are the prime factors of t?\nAnswer: 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) 23790 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 7*z = 2*z - 13*z - 232, 4*k - 68*z = 3884 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 3*n**3 + 2*n**3 + (2*n + 2*n**2 - 2*n)*(n + 2 - 2) + 2*n - n**3 - 2*n - 3*n**3 + 5*n**3 + 0*n**3 + 9*n**3 + 315*n - 323*n - 7*n**3.\nAnswer: 3*n**3 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -591682 divided by -20\nAnswer: 295841\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19809 rounded to the nearest ten?\nAnswer: -19810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 765123110?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-22) - (-12654)\/(-396))*2\/(-5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqqqqqqgqhhqqhqqq. What is prob of sequence qg?\nAnswer: 13\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0.1 (c) -5 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - -2 - (3 + -61) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -27\/34*b**4 + 10*b - 16\/17*b**2 - 19 - 24\/17*b**3. Let i(q) be the first derivative of n(q). Solve i(u) = 0.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3386*h + 1925*h + 7229*h to the form l*h + o and give l.\nAnswer: 5768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 44 - (-3 + -12 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -283? (a) -5 (b) -2.31 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/48 and -65\/290124.\nAnswer: 1160496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -464*d + 476*d. Calculate the remainder when 2942 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -6*k + 11. Suppose 0 = 5*v + 9 - 34. Let j(m) = 4*m - 7. Give v*q(p) + 8*j(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2 + (sqrt(125) - (sqrt(125) + -2))*-6))**2 - ((1 + 2 + sqrt(125) + (sqrt(125) + 1 - sqrt(125)))*6)**2)*-2.\nAnswer: 2880*sqrt(5) + 9352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - 2*p + 2*p)*(p**2 - p**2 + p**2) + (2*p**2 - 10*p**2 - 13*p**2)*(0*p**2 + p**2 + 4*p**2).\nAnswer: -106*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1102102?\nAnswer: -1102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1550 - -1242\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -79.29 and 4.\nAnswer: -75.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + 3.4. Which is the third biggest value? (a) -4 (b) k (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) 2\/19 (c) -5.8 (d) -4 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*s - 13 = -m - 545*s + 273*s - 4, -94*m = -2*s + 402 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two ninths of a week in minutes?\nAnswer: 24640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61785, 62001, 62217, 62433?\n\"Answer: 216*o + 61569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*z + 539, -3*z = 2*v - 0*z + 1063. Let x = -4381926\/13 - -337595. Let j = x + v. Which is the third biggest value? (a) j (b) -4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.36. Let m = 0.16 - w. Let h = 400 + -400. What is the second biggest value in m, 2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213975 divided by -45.\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*t + 185126 = 0, -3*t - 92556 = j - 5*t. Does 35 divide j\/(-156) + 5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*s**3 - 888*s**2 - 1212*s - 344.\nAnswer: -4*(s + 1)*(s + 43)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 14832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - 71*p + 292. Calculate h(4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 0.5, 10, 0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158252252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1227764576184 and 5.4.\nAnswer: -1227764576178.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625179590 to the power of 1\/2, to the nearest integer?\nAnswer: 25004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3605 and 11363681.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2. Let i be 11 + -4*1\/(-4). Let h(j) = -18*j**2 + 23 - 11 - i. Determine q(h(c)).\nAnswer: 324*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 - 2*l**2 - 3*l. Let i be m(-2). Let a = i - 20. Suppose -28 = -a*h + 3*y, -3*h + 4 = 3*y + 2*y. Solve 3*u = h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*-4 + sqrt(1296) + sqrt(9))\/sqrt(3).\nAnswer: -35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 353 (base 6) to base 3.\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 283 = -m, 3*m + m - 295 = -3*z. Let f = -722 + 697. Let w = z - f. Is 32 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 48 = 8*y. Let r = y + -4. What is the smallest common multiple of 12 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197699 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 176988187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) -142 (c) 2030\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1989 = 12*h. List the prime factors of h.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13929 = -u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*p - 4499 = 232*p - 143*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7879478*-0.4\nAnswer: 3151791.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/2))\/(q*q**(-5\/6)*q*q))\/(q**(-4\/7)*q*q**(-8)*q)*((q\/(q\/(q\/q**4)*q))\/(q*q*q\/q**(2\/5)))\/((q**(3\/2)*q)\/(q\/q**(1\/2))) assuming q is positive.\nAnswer: q**(-388\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 71 = -22. Suppose -6*o - h = -2*p - 7*o, 0 = 5*p - o - 7. Solve g - p = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, w: 1, k: 1, m: 2}. Give prob of picking 1 k and 2 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1954 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.2, -4, 0.17, -1?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -5 (c) 2\/7 (d) -18.6 (e) -142 (f) 0.4 (g) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -31*v**2 - 154*v + 6. Calculate w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.34 + -0.16. Let i = 5174 + -5177. What is the nearest to i in 0.5, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -127. Let u be (-210)\/i + (-4)\/22. Solve 0 = -u*d - 3 - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 40 = -3*m - 30, -4*m - 28 = -2*z. Put -1, 3, z in descending order.\nAnswer: z, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1241242l in millilitres?\nAnswer: 124.1242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (360\/1500)\/(((-3)\/60)\/(3\/(-18))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18442270 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/21 in 162, -0.04, -0.006?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2050 divided by 82?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.623 - 1.107. Let q = v - -1.65. Let s = q - -0.08. Which is the closest to 2\/7? (a) -0.3 (b) 1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.06544 + 0.76544. Let o(f) = f**3 + 7*f**2 + 4*f - 7. Let l be o(-6). Which is the biggest value? (a) 0.5 (b) 3 (c) l (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(-7)\/d))\/d**(-1\/5)*(d*(d**(2\/7)\/d)\/d*d*d)**37)**(-31) assuming d is positive.\nAnswer: d**(-61597\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 5) to base 16\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -12*y. Let s = 92 - 70. Let f(x) = 14*x + 6*x - s*x. Give f(r(j)).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 11*a - 1. Let r(g) = -989*g**2 - 55*g + 1144. Let w(d) = 35*h(d) + 7*r(d). What is the derivative of w(f) wrt f?\nAnswer: -13776*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -2*a, -4*k + 6*k - a = 9. Suppose k*q = -6*q + 72. Solve -4*l + 3 = 4*r + 11, r = -2*l - q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -6) + 0 + (-6 - -9 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 7 (c) 1\/6 (d) -1\/6 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/11)*q**(-17) assuming q is positive.\nAnswer: q**(-174\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 10*a + 9. Let c be i(-11). Suppose 0 = -7*q + 5*q + c. Solve 0 = 4*w + 3*h - 23, -5*w + 0*h = -4*h + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330508 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q**3 + 10*q**3 + 17*q**3 + 0*q**3.\nAnswer: 39*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1 + 1 - 13*q + 20*q. Let a(k) = 14*k**2 + 10. Let f(m) = 34*m**2 + 24. Let o(g) = 12*a(g) - 5*f(g). Calculate h(o(n)).\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 + 19 = -4*m + 2*n, -m = -2*n - 28. Suppose m = -2*h + 4*h. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*i = 4*i, -5*j = 5*i + 15. Is (3 - 61578\/(-21)) + j\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, b: 1, z: 5}. Give prob of picking 2 y and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2753335 divided by 65.\nAnswer: -42359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.41523978 and 2?\nAnswer: 0.83047956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61212.7 millennia to decades.\nAnswer: 6121270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 15*b - 1143. Let q be w(-28). Solve q*n - 139 = -159 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -2*i - 842 + 851, 5*i - 66 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -219*k**2\/2 - 6459*k + 177\/2.\nAnswer: -3*(k + 59)*(73*k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyhyyyyyyyyhhhh. What is prob of picking 1 h and 3 y?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2240 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188788554271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 143210 (base 8) in base 4?\nAnswer: 30122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjrj when four letters picked without replacement from sssrsjr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**3\/4 + 1409731*i**2\/2 + 8458405*i\/4 - 14097325\/2 = 0.\nAnswer: -5, 2, 2819465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/40*2*(-4)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7425.972 - 7525. Let i = d - -0.028. Let j = i - -97. What is the second biggest value in -8, 5, j, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -44*c**3 + c**2 + 30*c + 1. Let q(w) = 309*w**3 - 7*w**2 - 205*w - 6. What is -20*o(k) - 3*q(k)?\nAnswer: -47*k**3 + k**2 + 15*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5 - -0.6. Is -1\/4 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23257510 by 23257510.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-75)\/(-18))\/(-25)*2. What is the closest to 2\/5 in 2, h, 13, 69?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 343422310133 - -10?\nAnswer: 343422310143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17929 + 3819 = 2*z, -b + 3*z = -3525. What is the greatest common factor of b and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -276, -835, -1400, -1971, -2548?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 41350*g + 248133. Give d(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 + 0*a**3 - a**3 - a**3 + (-7*a**4 + 5*a**4 - 4*a**4)*(212 + 424 - 881) + (0*a**3 + 0*a**3 + a**3)*(0*a + a + 0*a).\nAnswer: 1469*a**4 - 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (61*s + 47*s - 26*s)*(21*s - 10*s + 5*s**3 - 6*s**3) - 2*s**2 + 4*s**4 + 2*s**2 as j*s + t + l*s**4 + h*s**2 + i*s**3 and give l.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1261153 + 210?\nAnswer: 1261363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 3*n + 2. Let y be i(-3). Suppose 6 = y*o - o. What is the lowest common multiple of o and 25\/4 - (-1)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(704)*2 + sqrt(704) + sqrt(704) - -1*sqrt(704)*4 - ((sqrt(99) + (sqrt(99) - 3*sqrt(99)*-2))\/(sqrt(72)\/sqrt(2)) + 5)**2.\nAnswer: -205 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 - 518*k + 157976\/3 = 0. What is k?\nAnswer: -868, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/2977?\nAnswer: -4\/2977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(3 + (sqrt(567) + -2*sqrt(567))**2 + (0 + sqrt(567))**2*-6) + ((4*sqrt(567))**2 + -4 - 3*(-2 + sqrt(567)))).\nAnswer: -81608 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2692, -5231, -7770?\n\"Answer: -2539*t - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3084 and 7196.\nAnswer: 21588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1166 and -5?\nAnswer: -5830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {i: 1, j: 1, c: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y + 1. Let l(c) = -c**3 + 11*c**2 + 11*c + 7. Let t be l(12). Let d be b(t). Let p = d - -11. What is the remainder when p is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40986.63mg in kilograms?\nAnswer: 0.04098663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brrrrbxrrbxxrkrk. What is prob of sequence kbbr?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208550?\nAnswer: 2, 5, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w + 30*w - 2916 = -107*w - 11*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**3 + 8. Let u(c) = 568*c**3 + 559*c**3 - 5 - 1120*c**3. Calculate 5*p(x) + 8*u(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9992584?\nAnswer: 2, 7, 178439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 8*o - 17. Let w be y(5). Let j(t) = -2*t**3 - 4*t**2 + 2*t + 8. Let b be j(w). Solve b*k - 9*k = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 15 - 1 = -4*a, -3*a = 3*n - 602 + 593 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/3)\/n*n**6*n)\/(n*n**(1\/2)*n**0) assuming n is positive.\nAnswer: n**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 6040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.5, -24, -3, 20.\nAnswer: -24, -3, -0.6, -0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 830*k - 1. Let f be c(-4). Let p be (-478707)\/(-144) + (160\/(-24))\/10. Let s = f + p. What is the common denominator of 115\/18 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 242d3e (base 15) to base 2.\nAnswer: 110100110100110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109096, -872665, -2945198, -6981181, -13635100?\nAnswer: -23561441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3\/4, 0.5, -14, 6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 197123 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - t - 38. Determine b(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20 + 296\/(-12) - -1*5. What is the biggest value in -2\/169, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 37.5\nAnswer: -37.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 248 + -742\/3. Let z = 12 + -7. Let r(i) = -i**2 - 3*i - 1. Let p be r(-2). What is the closest to -1\/2 in c, z, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92770654\/5 + -557298091\/30. Let d = y - -22466. Calculate the common denominator of 1\/42 and d.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10424 is divided by 262.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 + b - 135 - 167 + 181)*(3 - 1 - 3 - 2 - 4 - 7 + (-6 + 1 + 3)*(4 - 2 - 3)).\nAnswer: -12*b + 3108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.959119 times 0.1?\nAnswer: -1.6959119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 + -47. Suppose -180 = -4*r + 4*h - h, 5*h + 20 = 0. Let g be 19\/f - 12\/r. Sort -0.2, -0.4, g.\nAnswer: -0.4, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51)\/(-99) - (-5 + 48\/9).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = -3*o, -5*o = -0*o - a + 33. Let f(z) = -z**3 - 7*z**2 - 2*z + 7. Let k be f(o). Let y = k - -35. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1658 is divided by 1633?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129276.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - r + 58. Suppose 344*y - 1854 = 340*y - 2*g, y + 5*g = 486. Calculate the remainder when y is divided by a(0).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/2, 0, -3\/7, -6.\nAnswer: -6, -3\/7, 0, 35\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*t - 1918, -2*t + 1359 - 401 = 2*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + l = -12 - 7, 4*l - 1 = -3*d. Let c = d - 11. Let z be 1\/(-3) - (3 + -4). What is the closest to 0 in c, z, -3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6978?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275267068 to the power of 1\/3, to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 7) to base 9\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2670*0.052885\nAnswer: 141.20295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:20 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863 a factor of 115081236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (29 - (22 - 43 - -27))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17171 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005152528 to 5 decimal places.\nAnswer: 0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/5 + 278*f**2\/5 - 36473*f\/5 - 7350.\nAnswer: (f - 98)*(f + 1)*(f + 375)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 146087*x - 36522.\nAnswer: (x + 36522)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*v + 2*z, v - 302*z + 305*z = -5 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 18. Let c(q) = q**3 - 6*q**2 - 4. What is c(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 61a + -7?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (19 - 0 - 51).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -3*n, 3*n - 5 = 2*n + v. Suppose b + 0 - n = 0. Suppose -2*s + 8 = 0, -4*q - b*s - 14 = -78. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -457 + 25 = -48*j. Suppose -j*h + 188 + 244 = 0. What is the greatest common factor of h and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86030629 is divided by 506?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 16672396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 81 = -1 - 8 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3243596850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3469 rounded to 2 decimal places?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 680311937?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-544)*1*4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -2*w**3\/3 - 1. Let s(m) = -6*m - 4. Let y(v) = -26*v - 18. Let r(z) = -18*s(z) + 4*y(z). Give b(r(d)).\nAnswer: -32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156769\/4237 + 2666\/(-72).\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 114*d = 120*d - 8750 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -1\/2*y**3 + 0*y**5 + 0 + 0*y**4 + 1\/40*y**6 + 3*y**2 + 0*y. Differentiate n(q) wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100133 (base 4) in base 9?\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3 - 23. Solve -h*s - s = 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/105 and ((-18)\/(-16) - 1)\/((-4)\/124)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 6. What is the tens digit of x(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 20. Solve 3*q + 6 = 0, -3*h = h - g*q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v + 214248 = -222592. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4 - 844*i**3 + 25704*i**2.\nAnswer: -4*i**2*(i - 27)*(i + 238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 3)*(4*k - 3*k + k) + (-3 + 4 + 4)*(3*k - 4*k + 3*k)*(-1 + 4 + 2))*(-2 - 31 + 8).\nAnswer: -1300*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 greater than -82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2467874532 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -61?\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -822 or -829?\nAnswer: -822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**4\/2 - 2*i**2 - 5*i - 2193. Let f(m) = 5*m - 6 + 9*m - 6*m + 17 - 4*m**3. What is 4*f(p) + 9*v(p)?\nAnswer: 2*p**3 - 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1688, -1760, -1830, -1898, -1964?\nAnswer: -2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3456) + sqrt(3456) + (-2*(sqrt(3456)*-2 - sqrt(3456)) - sqrt(3456) - sqrt(3456) - sqrt(3456)) + sqrt(3456))\/(4*(sqrt(32)*2 + sqrt(8))).\nAnswer: 4 + 18*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 7) to base 3\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1121112101 (base 3) to base 6\nAnswer: -402531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1\/9, 44 in increasing order.\nAnswer: -1\/9, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 86491.57 nanometers in kilometers?\nAnswer: 0.00000008649157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1145 - 4300?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/300 and 19\/150?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 42*r**2 + r - 5. What is s(2)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18923761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -114 (b) 6\/5 (c) 35616\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18535161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from ggqglgqzzgglxzgrgq.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/(-35))\/(2\/(-10)). Suppose 2*a - j = -b + 8, -4*a = -12. Suppose l - v - 86 = 0, 0*v + b*v - 351 = -4*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188661 (base 10) in base 16?\nAnswer: 2e0f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15406*d**2 - 7263*d**2 + 3075*d**2 + 13309*d**2 + 6675*d**2.\nAnswer: 31202*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28.94 + 29.04. Does 2.418 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0. Let l = -0.4 + f. Put -0.5, l, 0.1 in decreasing order.\nAnswer: 0.1, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5 = 2*r, 5*r + 137*u - 139*u + 14 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - m - 303 = 0, -2*l = -l + 2*m - 159. Suppose 3*w + 4*w - 119 = 0. Calculate the highest common factor of w and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = 2*t - 6300. Let l = 328 - t. What is the remainder when 59 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/528*(28 + -13)\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = i - 4*b, 3*b = -0*b + 15. Let m = 115 - i. Suppose 20 = 2*r - m*k, -22 = -4*r - 0*k - 5*k. Calculate the lowest common multiple of 6 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 12:51 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34045)\/(-4952)*12\/(-15).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -y + 4*y - 32, 4*y - 2*q = 42. Let p = 8 - y. Let w = p - -4. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11682, 12963, 14244, 15525, 16806, 18087?\n\"Answer: 1281*p + 10401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527123 - i + 174513 - 1098 + 26857.\nAnswer: -i + 727395","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141811 is divided by 933.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/3169934 or 0?\nAnswer: -7\/3169934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5240 and 14809550?\nAnswer: 59238200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9605, -9526, -9445, -9368, -9301, -9250?\n\"Answer: -q**3 + 7*q**2 + 65*q - 9676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 10*p - 75. Let m be c(9). Which is greater: 10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 at most as big as -1.88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3343.9819 + 3344. What is m rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171353710 and 680.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188106895 is divided by 21157?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**0*w))**(3\/17)*(w*w*w**0)\/(w\/(w\/(w\/(w**5\/w)))*w*w))**34 assuming w is positive.\nAnswer: w**102","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let p be (q - (-6)\/(-4))*-8. Let l be (-403)\/(-9) + p\/(-18). Calculate the highest common divisor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1702*g**5 - 2*g**2 - 19 wrt g?\nAnswer: -102120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77427336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 - 35*y**2 - 87*y - 187. Give u(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 49569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 994415 and 8075?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + ((sqrt(33) - (sqrt(198)*1)\/sqrt(6)) + sqrt(33) + sqrt(33))\/(sqrt(21)\/sqrt(28) + sqrt(3)) + sqrt(3564) + (sqrt(3564) - sqrt(3564)*2*5))*3)**2.\nAnswer: 2568*sqrt(11) + 2015033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*y + 57650 = 5*m - 44*y, 11536 = m - y. What is the remainder when m is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55535622.\nAnswer: 2, 3, 211, 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13926 is divided by 245?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 166*n**2 + 107*n - 27. Let v(t) = t**2. Calculate p(v(s)).\nAnswer: 166*s**4 + 107*s**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.24 + -8.64. What is the third biggest value in 4, y, -1\/7, -0.02?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Let r(h) = 10*h**2 + 8*h - 8. Let j(w) = 3*w**2 + 3*w - 3. Let d(k) = -8*j(k) + 3*r(k). Let l(m) = -259*m - 2. What is l(d(b))?\nAnswer: -1554*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 683116733 - 0.1\nAnswer: 683116732.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*m + 69*m - m**2 + 50*m - 6*m - 27*m.\nAnswer: -m**2 + 151*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -336, -448, -558, -666, -772, -876?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2772881 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0979808ml in litres?\nAnswer: 0.0000979808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 7:29 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 468 = -2*o - 484, o + r - 7 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668909019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 9*z + 14. Let a be v(-8). Suppose -3*m = a*m - 189. Calculate the remainder when 165 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 0.25227832.\nAnswer: 0.24772168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cocococoocnhccooc. What is prob of picking 1 c and 3 o?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381364989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-22 - -19 - -18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let p(k) = -5*k - 307*k**2 + 8*k + 302*k**2. Determine n(p(i)).\nAnswer: 5*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59.476 - -59.4759942386. Round h to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = z - 77. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -271, -1\/3, 0.05 in descending order.\nAnswer: 1, 0.05, -1\/3, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215546, -215816, -216086, -216356, -216626, -216896?\nAnswer: -217166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -37*r + 80 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 10 = 4*w, 3*b - 199*w - 6 = -203*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**8\/840 + k**7\/525 - k**6\/300 - k**5\/150 + 21*k**2\/2 - 23. Let j(y) be the second derivative of l(y). Factor j(d).\nAnswer: 2*d**2*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112)\/sqrt(7))\/sqrt(8))**2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.56297l to millilitres.\nAnswer: 43562.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*n + 123 = 100*n + 1451 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.26 and 7000?\nAnswer: 22820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 0*p**2 - 6*p**2 - 2*p + p**2 + 4*p**2. Let h = 1 - 3. Let d be y(h). Is d smaller than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose -4*w - 7 = 5*x, -5*x = -0*w + 3*w + 9. Suppose -50 = -2*j + w. Solve -2*u + 6*u - 3*k - j = h, 3*k = -6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.051115 + -0.037\nAnswer: 0.014115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242*6573.\nAnswer: -1590666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1650753\/41 + 40261. Find the common denominator of (-4)\/(-2) - 1 - -10 and n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*w = 4*w + 59, -f = -4*w - 52. Suppose 2*k + 3*k + 30 = 5*h, -5*h + 3*k = -f. What is the greatest common divisor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4*r**2 + 5 - 5.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -83*o + 142*o - 73*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4 (b) 2\/109 (c) -11 (d) 4\/3 (e) 2170 (f) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 8, -5*k + 50 = 4*v + v. Calculate the remainder when k is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3371468, -6742978, -10114488, -13485998, -16857508, -20229018?\nAnswer: -23600528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:40 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 81 = 83. Let m be r - 2 - (108\/(-9))\/4. Factor -3\/2*w**3 - 9\/2 - 21\/2*w - 15\/2*w**m.\nAnswer: -3*(w + 1)**2*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u - 237*u + 31872 = -17*u + 185*u for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 1, 0.2, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170740, -170711, -170664, -170599?\nAnswer: -170516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1681.2 and -1.76.\nAnswer: 2958.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328451727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/9)\/((s**(1\/3)*s)\/s)*(s*(s\/s**(-1))\/s)\/s*(s\/((s\/(s\/s**6))\/s)*s)\/s)**(1\/8))**(6\/5) assuming s is positive.\nAnswer: s**(-29\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2047836?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/25534477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5142 - -5161. Solve n*j = 17*j - 2, 0 = -5*x - j + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334 greater than 2330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 873024.4nm?\nAnswer: 0.0008730244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4773.181 grams to milligrams.\nAnswer: 4773181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s + 10. Suppose -s*b = -3*m + 171, -5*m - 2*b + 303 = -b. Let y = m - 39. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79)\/158 + (-10)\/(-16)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 208 and 529048.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(13))**2*6.\nAnswer: 48*sqrt(13) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.076 + -4.924. What is the closest to -1\/5 in 2, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 14547*q**3 - 4*q**2 - 14*q - 4. Let j(v) = 2*v**3 + 2*v**2 + 7*v + 2. Give i(y) + 2*j(y).\nAnswer: 14551*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 135 - 134.39. Let m = 0.41 - o. Which is the second smallest value? (a) 0.5 (b) 0 (c) -0.1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*0.22386\nAnswer: -2.2386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1523.4 - 1550.412. Round f to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 59. Calculate the remainder when 48 is divided by u*(4 + 1)\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6757?\nAnswer: 6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 5148400*i + 1656626410000.\nAnswer: 4*(i - 643550)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.24 + -0.24. Let w = -4.052 + o. Let h = -0.0523 - w. What is h rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiep when four letters picked without replacement from esiieeeyfefsyipees.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 3, c: 6, n: 5}. Give prob of sequence ne.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 11. Let f be (-4)\/4*(-1 + -4). Suppose 24 + 1 = -f*p. Calculate the remainder when 10 is divided by g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r + v = -64*r + 131, -5*r + 5*v + 605 = 0. Which is bigger: 127 or r?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -534, -1061, -1576, -2079?\nAnswer: -2570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*p + 67*p - 938 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 39 = -4*s - 0*k, -24 = 2*s + 2*k. What is the nearest to 0 in s, -1\/6, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 417*i - 288*i + 315*i + 0 + 608*i + i**2 to j*i + o*i**2 + z and give j.\nAnswer: 1052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -50*(-1 - 0\/1). Suppose 7*a - 2*a + x = 0. Calculate the lowest common multiple of 22 and 4\/a*(0 - 5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.1. Is i at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1403 and 11080135?\nAnswer: 675888235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -23*r**2 + 3*r. Give t(-2).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -567162 take away 5?\nAnswer: -567167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*n**3 - 2*n**2 + 10*n**3 + n**5 - 9*n**5 + 14*n**4.\nAnswer: -2*n**2*(n - 1)**2*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31.11 + 2.89. Let r = b + -34.3. What is the third smallest value in r, 0.4, -41, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**6 + 6*t**4 + 8*t**2 + 6*t. Let n(j) = j + 2*j**4 + j**4 - 2*j**4 + j**2. Let g(u) = m(u) - 6*n(u). What is the third derivative of g(d) wrt d?\nAnswer: 240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0328447 and -22.3.\nAnswer: 0.73243681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6 - -1) + (5271 - -92)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**4\/13 - 1582*m**3\/13 - 23752*m**2\/13 - 11480*m\/13 = 0 for m.\nAnswer: -14, -1\/2, 0, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3010596502.7 - -1.\nAnswer: 3010596503.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 9:32 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*d + 59 = 2*d, -3*d + 15 = q. Solve -4*b - q + 32 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 8. Let u = o - 13. Let l = -9 + 6. Is u smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -12683152.\nAnswer: -1\/3170788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -182973 * -2.\nAnswer: 365946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 4:30 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = r - 38*y, -13*r + 16*r - y = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -1722.02.\nAnswer: -12054.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -12*x**2 + 2*x - 4. Let q be z(3). Let t = -42 - q. Let r be (-2)\/(-4) + (-56)\/t. Sort -4\/7, r, -3 in decreasing order.\nAnswer: r, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + -14. Let l be 6\/(-30) - d\/10. Let i(f) = -f**2 + 2*f + 1. Give i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*r = 8 + 15, -2*z + 5*r = -34. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 249 divide 405145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s - 45. Let j be p(-16). Suppose -4 = -2*z, -j = -c - 3*z + 8. Solve 4*a + c = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, -5, 2532, 21 in increasing order.\nAnswer: -77, -5, 21, 2532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8962 = -3*t - o - 2198, 0 = -2*t - 4*o + 4526. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1956 + -1958. Which is the second smallest value? (a) 4 (b) 5 (c) -2\/15 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 814.1 and -0.5.\nAnswer: -407.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 491*c**2. Let q(n) = -45*n + 23. Determine q(o(t)).\nAnswer: -22095*t**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + f**2 - 3*f + 3. Let d be t(-3). Let m be -58*(3\/d)\/(-1). Let p = -143\/5 - m. What is the second smallest value in p, 0.2, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 79*v**2 + 52*v**2 - 2.\nAnswer: -27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 53316, 106663, 159972, 213243, 266476, 319671, 372828?\n\"Answer: -19*c**2 + 53404*c - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -2\/63, -0.5, -5, -89.6?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + d3d5?\nAnswer: d3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 = -5*y. Suppose -2*s = y*s. Let c be -10*(s - 2\/4). Solve -4*t = c + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 18 = 3*a - 6, -3*a + 5*i = -54. Suppose -c - 3*k + 5 = 0, 0*c = -c + 3*k - a. Let p = -2.8 - -2.3. What is the closest to 0 in p, c, -2\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 62\/(-3)*-3 + 4. Let m be (-11)\/y + (-46)\/12. What is the tens digit of (1 + m\/12)\/(8\/996)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23644269926 take away 0.09?\nAnswer: -23644269926.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 42. Let o(z) be the second derivative of -2*z**3\/3 + 32*z - 2. Calculate o(r(y)).\nAnswer: 8*y - 168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, u: 1, k: 2, l: 1, f: 2}. Give prob of picking 2 f, 1 l, and 1 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*d - 10. Suppose -d = i + 4*b - 13, -5*b = 5*i - 55. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005560748 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 69\/5 (b) 2 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = -2. Let a be ((-68)\/(-16))\/(b\/(-4)). Let h be (-1 + -26)\/(141\/(-6) - -25). Is h smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14705644 or 2?\nAnswer: -14705644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:09 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 70 = 9*t - 37*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/3 and -65\/285396?\nAnswer: 285396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24.86 - 25.86. Which is greater: 446 or y?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12 = -4*m - c, -2*c = 3*m - 9. Solve 4*r - 41 - 4 = m*o, 3*o + 2*r + 5 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -36\/1241?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 25 = -4*m - 5, 0 = -5*v - 20. Find the common denominator of 12\/7 and (m - 255\/66)*2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*j + 372, -3*j - j - 4*r + 480 = 0. Let c = j + -10. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 63901 - 63880 = 0 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**4 + 2*r**4 - 2*r + 6*r**4 - 2*r**3 to z + w*r**3 + v*r**2 + o*r + k*r**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 1712*r - 444. Let c(m) = -74. Calculate 13*b(y) - 78*c(y).\nAnswer: 22256*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 83. Solve d = 5*k - b + 30, -k = -3*k + b - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 11*s - 6 = 0. Which is smaller: s or 1\/85?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*a - 32*a + 92*a - 31*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2857*d - 2860*d = 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14087, 14209, 14411, 14693, 15055, 15497?\n\"Answer: 40*p**2 + 2*p + 14045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdl when three letters picked without replacement from {q: 2, d: 11, l: 1}.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 20\/31 (b) 5 (c) -3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 + 21?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12\/(-15)*270\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 6, 13 in ascending order.\nAnswer: -4, -2, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let q(w) = 3*w**3 + 6*w + 2. Let k(v) = 2*q(v) + 6*r(v). Let p(f) = -2*f - f**3 - 6*f**3 + 4 - 5*f - 9. Give 6*k(u) + 5*p(u).\nAnswer: u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 3*f**2 - 4*f + 2. Let a be w(-4). Let k be (-1)\/a + 6\/4. Put -2\/5, k, -4 in increasing order.\nAnswer: -4, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352 a factor of 3381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89370 - 5809168\/65. Let u = z + 60\/13. Calculate the common denominator of u and 74\/105 - (-15 - 3859\/(-255)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 380492 and 2130044.\nAnswer: 3556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*m - 13, 2*m - 15 = -m + 3*b. Let t(l) be the first derivative of 5\/24*l**4 + m - 5\/12*l**2 + 1\/9*l**3 - 1\/3*l. Factor t(o).\nAnswer: (o - 1)*(o + 1)*(5*o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 7:24 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6 times 0.1?\nAnswer: 3.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 16*c**2 + 718*c - 82. Determine a(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*l - 71 - 5, -5*w = 2*l - 130. Let n be -1*(-76)\/(-16) + (-35)\/w. Put 8, 5, -4, n in decreasing order.\nAnswer: 8, 5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at most as big as -1325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 2*d + 5*d + d**4 - 4*d**3 to k*d + b + z*d**2 + t*d**3 + x*d**4 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9713*s = -5*d + 9717*s + 15, 0 = 7*d - 3*s - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11913951.\nAnswer: 3, 7, 31, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 112*z - 4*z**2 - 705*z**3 + 448*z**3 + 259*z**3 in the form b*z + q*z**3 + h + s*z**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-119*y**4 + 259*y**4 - 119*y**4)*(2*y - 2*y - 2*y) + (-y**4 + 5*y**4 - 5*y**4)*(2 - 2*y - 2) + y**5 - y**5 + y**5 - 9*y**2 + y**5 + 9*y**2.\nAnswer: -38*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -70, -254, -616, -1216?\nAnswer: -2114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/7 (b) 142\/15 (c) -709\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3*4\/(-84)). Let f be 0\/(4*(-4)\/8). Suppose f = -h - 5, -5*r + 12 = -4*r - h. Calculate the greatest common factor of r and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Let a(q) = 4 - 6 + q**2 - 3*q - q. Let w be a(5). Solve u*d - w = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3146.2964 rounded to zero decimal places?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2 + (-1 + 0 + 0)*(-5 + 1 + 2) - 1 + 0 - 1 - 2 - 5 + 5 + 0 + 2 + 4)*(0 + 2*v**2 + 0).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 + 19 = 0. Let t be 105\/b + -1 + 0. Let k be (-260)\/t*(-802 + 2). What is k rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-3) - (-1)\/3. Let i = b - -5. What is the third derivative of -3*d**i - 3*d**3 + 6*d**2 - d**2 wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 2, l: 8, o: 4, w: 2, c: 1}. Give prob of picking 1 o, 1 w, and 1 z.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 25. Let k be 142\/6*(105\/14)\/(-5). Let z = v - k. Put z, 2\/5, 6 in descending order.\nAnswer: 6, z, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**3 + 9*i**2 + 264 wrt i.\nAnswer: -24*i**2 + 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 3548251757.\nAnswer: 3548251757.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 724 - -3?\nAnswer: 727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -36 - 12 - 2*m**2 + 3*m**2 as s*m + o*m**2 + d and give d.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32433 (base 6) in base 10?\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001561734 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -19*-1.4104\nAnswer: 26.7976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.62 * -0.158.\nAnswer: 0.57196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 3\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (79\/2)\/(24\/48).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*a - 125*a + 254*a - 11 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 3. Let k be (-7*h\/(-4))\/1. Let m = -528 + 526. Which is bigger: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/17))**(-1\/35)*(b**(-4\/15))**(-9) assuming b is positive.\nAnswer: b**(1432\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4 + 144*a**3 + 1617*a**2 - 100530*a - 102000 = 0. What is a?\nAnswer: -25, -1, 34, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u - 32 = -112 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 369 and 366 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 36.1. Put -3, 81, z in ascending order.\nAnswer: -3, z, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -91 + 97. Suppose -t*h = 4*f - 0*h - 10, -f = -4*h - 12. Suppose 0 = -o - o. What is the nearest to 0.1 in 3, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4059\/194832)\/(3\/12384)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = -13774 + 41426. What are the prime factors of n?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 + 754\/5. Let i = 0.0374 - 0.0374. Sort k, i, 0.5 in decreasing order.\nAnswer: k, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 810b26?\nAnswer: 810b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -132, -200, -268, -336, -404?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 14994?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10628108?\nAnswer: 2, 2657027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(6\/(-21)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 108. Does 7 divide (66\/30)\/((-1)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/19 - 536*d\/19 - 35912\/19.\nAnswer: -2*(d + 134)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -4*z - 18. What is the units digit of (-56)\/(z\/(-3)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000529049 to six dps.\nAnswer: -0.000529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*z**5 + 19159*z**3 - 2*z**2 + 10836134*z?\nAnswer: -160*z**3 + 114954*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -2533?\nAnswer: 52\/2533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 37*h**3 + 3*h**2 - h**2 + 6*h**2 - 10*h**2 to j*h**3 + i*h**2 + c*h + q and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -950*s + 149*s + 5 + 237*s + 307*s - 3 as w*s + q and give w.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -310 and 1.77193.\nAnswer: -549.2983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f + s - 2*s, 5*s = 4*f - 12. Let q(n) = n**3 - 2*n**2 - 5*n + 6. Let t be q(f). Solve -2\/3 + t*k + 2\/3*k**2 = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50)\/825*3)\/(2\/(1*-22)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 9, -3*a = -g + 6*g. What is the closest to -1 in a, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.1 (b) 70 (c) 2\/5 (d) 57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/7 in 0.4, 0.2, 0.1, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*x = 152*x + 5*u + 59, x + 36 = -3*u for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 2\/3*f**3 + 1\/12*f**4 + 0 - 4*f**2 + 6*f. Let m(x) = x**2 + 3*x - 7. Let g(u) = -5*h(u) + 6*m(u). What is g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 1. Let r be z(-1). Let p be -1 - (-1 - 3 - -1). Let l = p + r. Solve -h + 2*h = -3*x, -l*h = -3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 + 18828*s**4 - 22070984*s**3 - 199675536*s**2 - 577804320*s - 533775744 = 0. Calculate s.\nAnswer: -4, -3, -2, 2358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4489, -8981, -13473, -17965?\n\"Answer: -4492*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 24*j**2 - 82*j + 32. Give r(27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 822, 2, 5, -4, -3 in descending order.\nAnswer: 822, 5, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12240 and 2517615?\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n + 1. Let q(l) = 8*l - 30. Let j(o) = 23*o - 108. Let k(i) = 2*j(i) - 7*q(i). What is 2*k(h) + 11*s(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -99222.5021 + 99216. Let o = -6.5 - r. Round o to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-6) + (-1)\/3. Suppose 4 = -q - h*f, 0*q = -2*q - 5*f - 6. Suppose -q*z = 1 - 9. Solve -11 - 20 = -5*s - z*j, -23 = -s - 5*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4 - 1612*n**3 + 326426*n**2 - 648024*n + 323208 = 0.\nAnswer: 1, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o + 7. Let m(c) = -c - 1. Let h(x) = 6*m(x) + u(x). Let q be h(1). Let j(k) = 4*k + k**q + k + 3 - k. What is j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*n - 456 = -0*w, 5*n + 1719 = 4*w. Suppose -2616 = -4*m - w. What are the prime factors of m?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -408.1, 1\/3, 4, -1\/57?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1214046.9s?\nAnswer: 14.05146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6155810 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Let o(g) = 28*g**2 - 1. Calculate y(o(m)).\nAnswer: -1568*m**4 + 112*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 7*a - 3. Let g be u(-6). Let f(h) = -4*h + g*h - 2 - 3. Let w be f(-7). Calculate the greatest common divisor of 8 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/((-440)\/(-72))*70\/42. What is the fourth smallest value in 2\/11, s, 1042, -0.3?\nAnswer: 1042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*q + 3*g - 39, 55 = 3*q + g. Let w be 19\/(-4)*9\/(27\/(-12)). What is the first derivative of -11*p**3 - q - 6 - w wrt p?\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*c - 152*c - 175*c - 160*c - 158*c - 162*c + 969*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9.6, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-13)*(-47333)\/(-32769)\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -48042\/11, 1.2, -5\/3 in increasing order.\nAnswer: -48042\/11, -5\/3, 1\/3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7488 and 39000?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 329*w - 15. Is g(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (200*(-20)\/(-1600))\/((-70)\/12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -579974\/787431 - 1\/50802. Calculate the common denominator of f and 12\/(-9) + -2 - -2.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 519.04496 - 519. Round r to 3 dps.\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**4 + 16*g**3 - 3252*g**2 - 16256*g - 12992 = 0.\nAnswer: -28, -4, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.19116 - -87.19083. Let p = 68 - -10. Let x = y - p. Round x to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/55 in 0.26, 1\/4, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2 - t. Let d(k) = 15*k**2 + 12*k**2 - 30*k**2 - 10*k - 18*k**3 + 19*k**3. Determine d(u) - 2*o(u).\nAnswer: -u**3 - u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 14*z + 39. Determine m(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2*i**3 - 6*i**3 - 2*i**3 - i**2 + i**3 + i**2 + (1 - 2 + 2)*(-4*i**3 + 2*i**3 + 3*i**3) - 2*i**3 + 3*i**3 - 4*i**3).\nAnswer: -22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 8) to base 4.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 67*l + 770. Calculate c(-10).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2. Let c(h) = 6*h - 7. Let z be 2\/8 + 85\/(-4). Let q(r) = 5*r - r - 1 + 0 - 3*r. Let i(v) = z*q(v) + 3*c(v). Give l(i(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 10 in increasing order.\nAnswer: -1, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/13 + 110*y\/13 - 1488\/13.\nAnswer: -2*(y - 31)*(y - 24)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxi when three letters picked without replacement from miiixbxhiixh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -2\/11*d**4 - 1\/33*d**6 - 7 + 0*d**2 + 0*d - 2\/11*d**5 + 0*d**3. Factor l(o).\nAnswer: -2*o**3*(o + 1)*(o + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-962)\/12)\/(-13) - 24\/4. Let f be 1*1\/7*-73. Let o = f + 76\/7. Which is the fourth biggest value? (a) o (b) v (c) -2\/11 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a day?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 12*y + 8*y = 4, 5*h + 46 = -y. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 3.6, -3 in descending order.\nAnswer: 3.6, 1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -602*t + 622*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 304\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 2\/9, 3, 15, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 99, 4 in descending order.\nAnswer: 99, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 208*o**2*v - 141*o**2 - 3*o wrt v.\nAnswer: 208*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 21*s + 8. Determine h(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:35 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-299289*r + 796*r**2 + 299289*r)*(3*r - 2*r + r) as w*r**3 + t + f*r + m*r**2 and give w.\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 3.7, 172 in increasing order.\nAnswer: -2\/21, 3.7, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**2 + 6*b**2 - 2*b**2 + (7 - 15 - 9)*(0*b**2 + b**2 - 5*b**2).\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 + 67.5. Put -3\/5, 3, u in descending order.\nAnswer: 3, u, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*h - 2 = 2*x, 3*x - 17 = -4*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -5455?\nAnswer: 5455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 12 = 0. Let n = -12 - -3. Let j = n + r. Solve -j - 5 = 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.6. Let r = -2.7 - m. Let i = 976 + -976.2. Which is the nearest to 2\/3? (a) r (b) -1\/3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 5*q**4 + 115*q**3\/3 - 15*q**2 - 55. Factor p(u).\nAnswer: 5*u*(u + 6)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4326*b - 2837*b + 65949 + 76989 = -1869*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4620)\/(-550)*20\/182. What is the closest to u in -0.2, 2\/3, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}